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Average Run Length in TEWMA Control Charts:Analytical Solutions for AR(p)Processes and Real Data Applications
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作者 Sirawit Makaew Yupaporn Areepong Saowanit Sukparungsee 《Computer Modeling in Engineering & Sciences》 2025年第5期1617-1634,共18页
This study aims to examine the explicit solution for calculating the Average Run Length(ARL)on the triple exponentially weighted moving average(TEWMA)control chart applied to autoregressive model(AR(p)),where AR(p)is ... This study aims to examine the explicit solution for calculating the Average Run Length(ARL)on the triple exponentially weighted moving average(TEWMA)control chart applied to autoregressive model(AR(p)),where AR(p)is an autoregressive model of order p,representing a time series with dependencies on its p previous values.Additionally,the study evaluates the accuracy of both explicit and numerical integral equation(NIE)solutions for AR(p)using the TEWMA control chart,focusing on the absolute percentage relative error.The results indicate that the explicit and approximate solutions are in close agreement.Furthermore,the study investigates the performance of exponentially weighted moving average(EWMA)and TEWMA control charts in detecting changes in the process,using the relative mean index(RMI)as a measure.The findings demonstrate that the TEWMA control chart outperforms the EWMA control chart in detecting process changes,especially when the value ofλis sufficiently large.In addition,an analysis using historical data from the SET index between January 2024 and May 2024 and historical data of global annual plastic production,the results of both data sets also emphasize the superior performance of the TEWMA control chart. 展开更多
关键词 EWMA control chart TEWMA control charts average run length shift detection explicit formula Fredholm integral equation Banach’s fixed-point theorem AR(p)process
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Enhancing stem volume estimation for savanna species using variable-exponent taper equation and close-range photogrammetry
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作者 Finagnon Gabin Laly Gilbert Atindogbe +2 位作者 Gbedonou Michee Amos Sohou Hospice Afouda Akpo Noel Houedougbe Fonton 《Forest Ecosystems》 2025年第4期742-749,共8页
Stem volume estimation is crucial in forest ecology and management,particularly for timber harvesting strategies and carbon stock assessments.This study aimed to develop a variable-exponent taper equation specifically... Stem volume estimation is crucial in forest ecology and management,particularly for timber harvesting strategies and carbon stock assessments.This study aimed to develop a variable-exponent taper equation specifically tailored to savanna tree species using close-range photogrammetry(CRP)data and to evaluate its performance against conventional volume equations for stem volume estimation.A dataset of 30 trees across five dominant savanna species was used to fit the taper model,which was validated using a separate dataset of 322 trees from 14 species.The results demonstrated significant improvements in volume estimation accuracy when using the taper equation.At the tree level,the root mean square error(RMSE)decreased by 47%,from 598 to 319 dm^(3),and the mean absolute bias(MAB)by 48%,from 328 to 172 dm3,compared to volume equations.Similarly,at the plot level,RMSE was reduced by 42% and MAB by 40%.The model performed well for species with regular forms.However,species with irregular tapers exhibited higher errors,reflecting the challenges of modeling stem forms of mixed species.The use of CRP proved valuable,providing high-resolution diameter measurements that improved model parameterization.This study underscores the importance of advanced data collection methods for enhancing taper model accuracy and suggests that further species-specific adjustments are needed to improve performance for species with irregular forms.The findings support the broader application of taper equations for improving stem volume estimates in savanna ecosystems,contributing to better forest management and resource monitoring practices. 展开更多
关键词 Close-range sensing Close-range photogrammetry Stem taper equation Stem volume Savanna tree species
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Explicit ARL Computational for a Modified EWMA Control Chart in Autocorrelated Statistical Process Control Models
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作者 Yadpirun Supharakonsakun Yupaporn Areepong Korakoch Silpakob 《Computer Modeling in Engineering & Sciences》 2025年第10期699-720,共22页
This study presents an innovative development of the exponentially weighted moving average(EWMA)control chart,explicitly adapted for the examination of time series data distinguished by seasonal autoregressive moving ... This study presents an innovative development of the exponentially weighted moving average(EWMA)control chart,explicitly adapted for the examination of time series data distinguished by seasonal autoregressive moving average behavior—SARMA(1,1)L under exponential white noise.Unlike previous works that rely on simplified models such as AR(1)or assume independence,this research derives for the first time an exact two-sided Average Run Length(ARL)formula for theModified EWMAchart under SARMA(1,1)L conditions,using a mathematically rigorous Fredholm integral approach.The derived formulas are validated against numerical integral equation(NIE)solutions,showing strong agreement and significantly reduced computational burden.Additionally,a performance comparison index(PCI)is introduced to assess the chart’s detection capability.Results demonstrate that the proposed method exhibits superior sensitivity to mean shifts in autocorrelated environments,outperforming existing approaches.The findings offer a new,efficient framework for real-time quality control in complex seasonal processes,with potential applications in environmental monitoring and intelligent manufacturing systems. 展开更多
关键词 Statistical process control average run length modified EWMA control chart autocorrelated data SARMA process computational modeling real-time monitoring
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A dimension reduction assisted credit scoring method for big data with categorical features
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作者 Tatjana Miljkovic Pei Wang 《Financial Innovation》 2025年第1期725-754,共30页
In the past decade,financial institutions have invested significant efforts in the development of accurate analytical credit scoring models.The evidence suggests that even small improvements in the accuracy of existin... In the past decade,financial institutions have invested significant efforts in the development of accurate analytical credit scoring models.The evidence suggests that even small improvements in the accuracy of existing credit-scoring models may optimize profits while effectively managing risk exposure.Despite continuing efforts,the majority of existing credit scoring models still include some judgment-based assumptions that are sometimes supported by the significant findings of previous studies but are not validated using the institution’s internal data.We argue that current studies related to the development of credit scoring models have largely ignored recent developments in statistical methods for sufficient dimension reduction.To contribute to the field of financial innovation,this study proposes a Dimension Reduction Assisted Credit Scoring(DRA-CS)method via distance covariance-based sufficient dimension reduction(DCOV-SDR)in Majorization-Minimization(MM)algorithm.First,in the presence of a large number of variables,the DRA-CS method results in greater dimension reduction and better prediction accuracy than the other methods used for dimension reduction.Second,when the DRA-CS method is employed with logistic regression,it outperforms existing methods based on different variable selection techniques.This study argues that the DRA-CS method should be used by financial institutions as a financial innovation tool to analyze high-dimensional customer datasets and improve the accuracy of existing credit scoring methods. 展开更多
关键词 Credit scoring Dimension reduction Logistic regression Majorization-minimization algorithm
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A quantum model for the overpriced put puzzle
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作者 Minhyuk Jeong Biao Yang +2 位作者 Xingjia Zhang Taeyoung Park Kwangwon Ahn 《Financial Innovation》 2025年第1期3764-3786,共23页
Put options are known to be priced unusually high in the market,which we refer to as the overpriced put puzzle.This study proposes a quantum model(QM)that can explain such high put option prices as fair prices.Startin... Put options are known to be priced unusually high in the market,which we refer to as the overpriced put puzzle.This study proposes a quantum model(QM)that can explain such high put option prices as fair prices.Starting from a stochastic differential equation of stock returns,we convert the Fokker–Planck equation into the Schr鰀inger equation.To model the market force that always draws excess returns back to equilibrium,we specify a diffusion process corresponding to a QM with a delta potential.The results demonstrate that stock returns follow a Laplace distribution and exhibit power law in the tail.We then construct a closed-form solution for European put option pricing,determining that our model better explains the returns of the S&P 500 index and its corresponding put option prices than do geometric Brownian motion-based models.This study has significant implications for investors and risk managers,presenting a model that can potentially improve derivative pricing.Future studies can generalize the model assumptions by introducing asymmetric potential drawing back excess returns to equilibrium. 展开更多
关键词 Put option pricing Delta potential Fokker-Planck equation Schrödinger equation
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A new integrated neurosymbolic approach for crop-yield prediction using environmental data and satellite imagery at field scale
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作者 Khadija Meghraoui Teeradaj Racharak +2 位作者 Kenza Ait El Kadi Saloua Bensiali Imane Sebari 《Artificial Intelligence in Geosciences》 2025年第1期202-227,共26页
Crop-yield is a crucial metric in agriculture,essential for effective sector management and improving the overall production process.This indicator is heavily influenced by numerous environmental factors,particularly ... Crop-yield is a crucial metric in agriculture,essential for effective sector management and improving the overall production process.This indicator is heavily influenced by numerous environmental factors,particularly those related to soil and climate,which present a challenging task due to the complex interactions involved.In this paper,we introduce a novel integrated neurosymbolic framework that combines knowledge-based approaches with sensor data for crop-yield prediction.This framework merges predictions from vectors generated by modeling environmental factors using a newly developed ontology focused on key elements and evaluates this ontology using quantitative methods,specifically representation learning techniques,along with predictions derived from remote sensing imagery.We tested our proposed methodology on a public dataset centered on corn,aiming to predict crop-yield.Our developed smart model achieved promising results in terms of crop-yield prediction,with a root mean squared error(RMSE)of 1.72,outperforming the baseline models.The ontologybased approach achieved an RMSE of 1.73,while the remote sensing-based method yielded an RMSE of 1.77.This confirms the superior performance of our proposed approach over those using single modalities.This in-tegrated neurosymbolic approach demonstrates that the fusion of statistical and symbolic artificial intelligence(AI)represents a significant advancement in agricultural applications.It is particularly effective for crop-yield prediction at the field scale,thus facilitating more informed decision-making in advanced agricultural prac-tices.Additionally,it is acknowledged that results might be further improved by incorporating more detailed ontological knowledge and testing the model with higher-resolution imagery to enhance prediction accuracy. 展开更多
关键词 Crop-yield prediction Neuro-symbolic AI ONTOLOGY Ontology embedding Satellite imagery Machine learning
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ETF construction on CRIX
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作者 Konstantin Häusler Wolfgang Härdle 《Financial Innovation》 2025年第1期2661-2681,共21页
We construct an exchange-traded fund(ETF)based on the CRyptocurrency IndeX(CRIX),which closely maps nonstationary cryptocurrency(CC)dynamics by adapting the weights of its constituents dynamically.Our scenario analysi... We construct an exchange-traded fund(ETF)based on the CRyptocurrency IndeX(CRIX),which closely maps nonstationary cryptocurrency(CC)dynamics by adapting the weights of its constituents dynamically.Our scenario analysis considers the fee schedules of regulated CC exchanges,spreads obtained from order book data,and investment in-&outflows to the ETF are modelled stochastically.The scenario analysis yields valuable insights into the mechanisms,costs,and risks of this innovative financial product:i)although the composition of the CRIX ETF changes frequently(from 5 to 30 constituents),it remains robust in its core,as the weights of Bitcoin(BTC)and Ethereum(ETH)are robust over time;ii)on average,5.2%needs to be rebalanced on the rebalancing dates;iii)trading costs are low compared with traditional assets;iv)the liquidity of the CC sector increases significantly during the analysis period;spreads occur,especially for altcoins and increase with the size of the transactions.However,because BTC and ETH are the most affected by rebalancing,the cost of spreads remains limited. 展开更多
关键词 Cryptocurrency ETF CRIX Market dynamics
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The genomic landscapes of histone H3-Lys9 modifications of gene promoter regions and expression profiles in human bone marrow mesenchymal stem cells 被引量:7
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作者 Jiang Tan Hui Huang +4 位作者 Wei Huang Lin Li Jianhua Guo Baiqu Huang Jun Lu 《Journal of Genetics and Genomics》 SCIE CAS CSCD 北大核心 2008年第10期585-593,共9页
Mesenchymal stem cells (MSCs) of nonembryonic origins possess the proliferation and multi-lineage differentiation potentials. It has been established that epigenetic mechanisms could be critical for determining the ... Mesenchymal stem cells (MSCs) of nonembryonic origins possess the proliferation and multi-lineage differentiation potentials. It has been established that epigenetic mechanisms could be critical for determining the fate of stem cells, and MSCs derived from different origins exhibited different expression profiles individually to a certain extent. In this study, ChiP-on-chip was used to generate genome-wide histone H3-Lys9 acetylation and dimethylation profiles at gene promoters in human bone marrow MSCs. We showed that modifications of histone H3-Lys9 at gene promoters correlated well with mRNA expression in human bone marrow MSCs. Functional analysis revealed that many key cellular pathways in human bone marrow MSC self-renewal, such as the canonical signaling pathways, cell cycle pathways and cytokine related pathways may be regulated by H3-Lys9 modifications. These data suggest that gene activation and silencing affected by H3-Lys9 acetylation and dimethylation, respectively, may be essential to the maintenance of human bone marrow MSC self-renewal and multi-potency. 展开更多
关键词 human bone marrow mesenchymal stem cells (MSCs) H3-Lys9 acetylation H3-Lys9 dimethylation CHIP-ON-CHIP MICROARRAY
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Recommending Friends Instantly in Location-based Mobile Social Networks 被引量:4
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作者 QIAO Xiuquan SU Jianchong +4 位作者 ZHANG Jinsong XU Wangli WU Budan XUE Sida CHEN Junliang 《China Communications》 SCIE CSCD 2014年第2期109-127,共19页
Differently from the general online social network(OSN),locationbased mobile social network(LMSN),which seamlessly integrates mobile computing and social computing technologies,has unique characteristics of temporal,s... Differently from the general online social network(OSN),locationbased mobile social network(LMSN),which seamlessly integrates mobile computing and social computing technologies,has unique characteristics of temporal,spatial and social correlation.Recommending friends instantly based on current location of users in the real world has become increasingly popular in LMSN.However,the existing friend recommendation methods based on topological structures of a social network or non-topological information such as similar user profiles cannot well address the instant making friends in the real world.In this article,we analyze users' check-in behavior in a real LMSN site named Gowalla.According to this analysis,we present an approach of recommending friends instantly for LMSN users by considering the real-time physical location proximity,offline behavior similarity and friendship network information in the virtual community simultaneously.This approach effectively bridges the gap between the offline behavior of users in the real world and online friendship network information in the virtual community.Finally,we use the real user check-in dataset of Gowalla to verify the effectiveness of our approach. 展开更多
关键词 mobile social network service friend recommendation location-basedservice location proximity user behaviorsimilarity singular value decomposition
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Optimal operating policy for a controllable queueing model with a fuzzy environment 被引量:3
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作者 Chuen-horng LIN Jau-chuan KE 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2009年第2期311-318,共8页
We construct the membership functions of the fuzzy objective values of a controllable queueing model,in which cost elements,arrival rate and service rate are all fuzzy numbers. Based on Zadeh's extension principle... We construct the membership functions of the fuzzy objective values of a controllable queueing model,in which cost elements,arrival rate and service rate are all fuzzy numbers. Based on Zadeh's extension principle,a set of parametric nonlinear programs is developed to find the upper and lower bounds of the minimal average total cost per unit time at the possibility level. The membership functions of the minimal average total cost are further constructed using different values of the possibility level. A numerical example is solved successfully to illustrate the validity of the proposed approach. Because the object value is expressed and governed by the membership functions,the optimization problem in a fuzzy environment for the controllable queueing models is represented more accurately and analytical results are more useful for system designers and practitioners. 展开更多
关键词 Controllable queue Fuzzy sets Membership function Nonlinear programming
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QUALITATIVE ANALYSIS OF A STOCHASTIC RATIO-DEPENDENT HOLLING-TANNER SYSTEM 被引量:5
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作者 付静 蒋达清 +2 位作者 史宁中 Tasawar HAYAT Ahmed ALSAEDI 《Acta Mathematica Scientia》 SCIE CSCD 2018年第2期429-440,共12页
This article addresses a stochastic ratio-dependent predator-prey system with Leslie-Gower and Holling type II schemes. Firstly, the existence of the global positive solution is shown by the comparison theorem of stoc... This article addresses a stochastic ratio-dependent predator-prey system with Leslie-Gower and Holling type II schemes. Firstly, the existence of the global positive solution is shown by the comparison theorem of stochastic differential equations. Secondly, in the case of persistence, we prove that there exists a ergodic stationary distribution. Finally, numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings. 展开更多
关键词 Stochastic ratio-dependent Holling-Tanner system persistence in mean stationary distribution
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DYNAMICAL BEHAVIOR OF A STOCHASTIC HBV INFECTION MODEL WITH LOGISTIC HEPATOCYTE GROWTH 被引量:6
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作者 刘群 蒋达清 +2 位作者 史宁中 Tasawar HAYAT Ahmed ALSAEDI 《Acta Mathematica Scientia》 SCIE CSCD 2017年第4期927-940,共14页
This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic statio... This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HBV infection model. Then we obtain sufficient conditions for extinction of the disease. The stationary distribution shows that the disease can become persistent in vivo. 展开更多
关键词 stochastic HBV infection model EXTINCTION stationary distribution Lyapunov function
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The Role of Cover Crops towards Sustainable Soil Health and Agriculture—A Review Paper 被引量:10
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作者 Parmodh Sharma Atinderpal Singh +4 位作者 Charanjit Singh Kahlon Amandeep Singh Brar Kulbhushan K. Grover Mahendra Dia Robert L. Steiner 《American Journal of Plant Sciences》 2018年第9期1935-1951,共17页
Cover crops are the plants which are grown to improve soil fertility, prevent soil erosion, enrichment and protection of soil, and enhance nutrient and water availability, and quality of soil. Cover crops provide seve... Cover crops are the plants which are grown to improve soil fertility, prevent soil erosion, enrichment and protection of soil, and enhance nutrient and water availability, and quality of soil. Cover crops provide several benefits to soils used for agriculture production. Cover crops are helpful in increasing and sustaining microbial biodiversity in soils. We summarized the effect of several cover crops in soil properties such as soil moisture content, soil microbial activities, soil carbon sequestration, nitrate leaching, soil water, and soil health. Selection of cover crops usually depends on the primary benefits which are provided by cover crops. Other factors may also include weather conditions, time of sowing, either legume or non-legume and timing and method of killing of a cover crop. In recent times, cover crops are also used for mitigating climate change, suppressing weeds in crops and increasing exchangeable nutrients such as Mg2+ and K+. Cover crops are also found to be economical in long-term experiment studies. Although some limitations always come with several benefits. Cover crops have some problems including the method of killing, host for pathogens, regeneration, and not immediate benefits of using them. Despite the few limitations, cover crops improve the overall health of the soil and provide a sustainable environment for the main crops. 展开更多
关键词 COVER CROPS SUSTAINABLE AGRICULTURE SOIL HEALTH Legumes SOIL Properties
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Predictive Models for Cumulative Confirmed COVID-19 Cases by Day in Southeast Asia 被引量:2
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作者 Yupaporn Areepong Rapin Sunthornwat 《Computer Modeling in Engineering & Sciences》 SCIE EI 2020年第12期927-942,共16页
Coronavirus disease 2019 outbreak has spread as a pandemic since the end of year 2019.This situation has been causing a lot of problems of human beings such as economic problems,health problems.The forecasting of the ... Coronavirus disease 2019 outbreak has spread as a pandemic since the end of year 2019.This situation has been causing a lot of problems of human beings such as economic problems,health problems.The forecasting of the number of infectious people is required by the authorities of all countries including Southeast Asian countries to make a decision and control the outbreak.This research is to investigate the suitable forecasting model for the number of infectious people in Southeast Asian countries.A comparison of forecasting models between logistic growth curve which is symmetric and Gompertz growth curve which is asymmetric based on the maximumof Coefficient of Determination and theminimumof RootMean Squared Percentage Error is also proposed.The estimation of parameters of the forecasting models is evaluated by the least square method.In addition,spreading of the outbreak is estimated by the derivative of the number of cumulative cases.The findings show that Gompertz growth curve is a suitable forecasting model for Indonesia,Philippines,andMalaysia and logistic growth curve suits the other countries in South Asia. 展开更多
关键词 Coronavirus disease 2019 Gompertz function least square estimation logistic function
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Optimization on bicriterion policies for M/G/1 system with second optional service 被引量:1
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作者 Jau-chuan KE Yunn-kuang CHU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2008年第10期1437-1445,共9页
We compare the optimal operating cost of the two bicriterion policies, <p,T> and <p,N>, for an M/G/1 queueing system with second optional service, in which the length of the vacation period is randomly con... We compare the optimal operating cost of the two bicriterion policies, <p,T> and <p,N>, for an M/G/1 queueing system with second optional service, in which the length of the vacation period is randomly controlled either by the number of arrivals during the idle period or by a timer. After all the customers are served in the queue exhaustively, the server immediately takes a vacation and may operate <p,T> policy or <p,N> policy. For the two bicriterion policies, the total average cost function per unit time is developed to search the optimal stationary operating policies at a minimum cost. Based upon the optimal cost the explicit forms for joint optimum threshold values of (p,T) and (p,N) are obtained. 展开更多
关键词 Average operating cost Bicriterion policy Optimization comparisons Optional service Optimal threshold values
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Exact Run Length Evaluation on a Two-Sided Modified ExponentiallyWeighted Moving Average Chart for Monitoring 被引量:1
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作者 Piyatida Phanthuna Yupaporn Areepong Saowanit Sukparungsee 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第4期23-41,共19页
A modified exponentially weighted moving average (EWMA) scheme is one of the quality control charts suchthat this control chart can quickly detect a small shift. The average run length (ARL) is frequently used for the... A modified exponentially weighted moving average (EWMA) scheme is one of the quality control charts suchthat this control chart can quickly detect a small shift. The average run length (ARL) is frequently used for theperformance evaluation on control charts. This paper proposes the explicit formula for evaluating the average runlength on a two-sided modified exponentially weighted moving average chart under the observations of a first-orderautoregressive process, referred to as AR(1) process, with an exponential white noise. The performance comparisonof the explicit formula and the numerical integral technique is carried out using the absolute relative change forchecking the correct formula and the CPU time for testing speed of calculation. The results show that the ARL ofthe explicit formula and the numerical integral equation method are hardly different, but this explicit formula ismuch faster for calculating the ARL and offered accurate values. Furthermore, the cumulative sum, the classicalEWMA and the modified EWMA control charts are compared and the results show that the latter is better for smalland intermediate shift sizes. In addition, the explicit formula is successfully applied to real-world data in the healthfield as COVID-19 data in Thailand and Singapore. 展开更多
关键词 Explicit formula average run length modified EWMA chart AR(1)process exponential white noise
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Failure analysis of ring die of a feed pellet machine 被引量:1
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作者 He-da Bai Bao-chao Zheng +1 位作者 Wei Li Xiao-hui Tu 《China Foundry》 SCIE 2020年第2期167-172,共6页
The severely worn position and failure mechanisms of the ring die of a feed pellet machine were investigated.The macroscopic and microscopic morphologies of the failed surface,the chemical composition and mechanical p... The severely worn position and failure mechanisms of the ring die of a feed pellet machine were investigated.The macroscopic and microscopic morphologies of the failed surface,the chemical composition and mechanical properties of the collected samples were analyzed using scanning electron microscopy,energy disperse spectroscopy,optical emission spectrometry,and a universal testing machine.Results show that the dip angle at the entrance of the ring die hole between the roller and ring die was severely worn.The feed powder could not be fully extruded through the dip angle at the entrance of the ring die holes,thus the density of the feed particles produced could not meet the requirements.Therefore,abrasive wear under high stress is the main reason of failure at the entrance of the ring die holes under the action of feeding powder;and cutting and fatigue spalling lead to substantial material loss.In addition,a high damp-heat environment aggravates abrasive wear on the die hole internal surface. 展开更多
关键词 RING DIE failure analysis MICRO-CUTTING WEAR fatigueexfoliative WEAR ELECTROCHEMICAL corrosion
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UPPER SEMI-CONTINUITY OF RANDOM ATTRACTORS FOR A NON- AUTONOMOUS DYNAMICAL SYSTEM WITH A WEAK CONVERGENCE CONDITION 被引量:1
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作者 Wenqiang ZHAO Yijin ZHANG 《Acta Mathematica Scientia》 SCIE CSCD 2020年第4期921-933,共13页
In this paper,we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit.As an application,we obtain the convergence of random attractors ... In this paper,we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit.As an application,we obtain the convergence of random attractors for non-autonomous stochastic reactiondiffusion equations on unbounded domains,when the density of stochastic noises approaches zero.The weak convergence of solutions is proved by means of Alaoglu weak compactness theorem.A differentiability condition on nonlinearity is omitted,which implies that the existence conditions for random attractors are sufficient to ensure their upper semi-continuity.These results greatly strengthen the upper semi-continuity notion that has been developed in the literature. 展开更多
关键词 non-autonomous random dynamical system random attractor upper semicontinuity weak convergence
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LEARNING RATES OF KERNEL-BASED ROBUST CLASSIFICATION 被引量:1
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作者 Shuhua WANG Baohuai SHENG 《Acta Mathematica Scientia》 SCIE CSCD 2022年第3期1173-1190,共18页
This paper considers a robust kernel regularized classification algorithm with a non-convex loss function which is proposed to alleviate the performance deterioration caused by the outliers.A comparison relationship b... This paper considers a robust kernel regularized classification algorithm with a non-convex loss function which is proposed to alleviate the performance deterioration caused by the outliers.A comparison relationship between the excess misclassification error and the excess generalization error is provided;from this,along with the convex analysis theory,a kind of learning rate is derived.The results show that the performance of the classifier is effected by the outliers,and the extent of impact can be controlled by choosing the homotopy parameters properly. 展开更多
关键词 Support vector machine robust classification quasiconvex loss function learning rate right-sided directional derivative
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Prediction of Civil Aviation Passenger Transportation Based on ARIMA Model 被引量:5
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作者 Xinxin Tang Guangming Deng 《Open Journal of Statistics》 2016年第5期824-834,共12页
The passenger transportation, as an important index to describe the scale of aviation passenger transport, prediction and research, can let us understand the future trend of the aviation passenger transport, according... The passenger transportation, as an important index to describe the scale of aviation passenger transport, prediction and research, can let us understand the future trend of the aviation passenger transport, according to it, the airline can make corresponding marketing strategy adjustment. Combining with the knowledge of time series let us understand the characteristics of passenger transportation change, the R software is used to fit the data, so as to establish the ARIMA(1,1,8) model to describe the civil aviation passenger transport developing trend in the future and to make reasonable predictions. 展开更多
关键词 Passenger Transportation ARIMA Model Seasonal Trend FORECAST
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