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Homogenized Daily Mean/Maximum/Minimum Temperature Series for China from 1960-2008 被引量:89
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作者 LI Zhen YAN Zhong-Wei 《Atmospheric and Oceanic Science Letters》 2009年第4期237-243,共7页
Inhomogeneities in the daily mean/maximum/ minimum temperature (Tm/Tmax/Tmin) series from 1960- 2008 at 549 National Standard Stations (NSSs) in China were analyzed by using the Multiple Analysis of Series for Hom... Inhomogeneities in the daily mean/maximum/ minimum temperature (Tm/Tmax/Tmin) series from 1960- 2008 at 549 National Standard Stations (NSSs) in China were analyzed by using the Multiple Analysis of Series for Homogenization (MASH) software package. Typical biases in the dataset were illustrated via the cases of Beijing (B J), Wutaishan (WT), Urumqi (UR) and Henan (HN) stations. The homogenized dataset shows a mean warming trend of 0.261/0.193/0.344℃/decade for the annual series of Tm/Tmax/Tmin, slightly smaller than that of the original dataset by 0.006/0.009/0.007℃/decade. However, considerable differences between the adjusted and original datasets were found at the local scale. The adjusted Tmin series shows a significant warming trend almost everywhere for all seasons, while there are a number of stations with an insignificant trend in the original dataset. The adjusted Tm data exhibit significant warming trends annually as well as for the autumn and winter seasons in northern China, and cooling trends only for the summer in the middle reaches of the Yangtze River and parts of central China and for the spring in southwestern China, while the original data show cooling trends at several stations for the annual and seasonal scales in the Qinghai, Shanxi, Hebei, and Xinjiang provinces. The adjusted Tmax data exhibit cooling trends for summers at a number of stations in the mid-lower reaches of the Yangtze and Yellow Rivers and for springs and winters at a few stations in southwestern China, while the original data show cooling trends at three/four stations for the annual/autumn periods in the Qinghai and Yunnan provinces. In general, the number of stations with a cooling trend was much smaller in the adjusted Tm and Tmax dataset than in the original dataset. The cooling trend for summers is mainly due to cooling in August. The results of homogenization using MASH appear to be robust; in particular, different groups of stations with consideration of elevation led to minor effects in the results. 展开更多
关键词 daily mean/maximum/minimum temperature series HOMOGENIZATION China MASH climate trend
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Predicting Maximum Lifespan Limits at Mean Menopausal Age
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作者 M.SUMATHI S.ANTONY CARLA 《Journal of Mathematical Research with Applications》 2025年第1期133-142,共10页
The age at which a woman enters natural menopause has also been associated to death from any cause.Menopause is a natural component of aging that happens between the ages of 45 and 55,with the average menopausal age b... The age at which a woman enters natural menopause has also been associated to death from any cause.Menopause is a natural component of aging that happens between the ages of 45 and 55,with the average menopausal age being 51.Previous research has revealed the age at which women reach menopause,but there is no evidence to support the link between menopause and longevity.We made a study in assessing the limits of maximum lifespan at menopausal age in our previous article.In this paper,we aim to predict the maximum lifespan of women at mean menopausal age. 展开更多
关键词 MENOPAUSE mean menopause maximum lifespan scale parameter shape parameter AGING modified Weibull distribution
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A model for the mean velocity of debris flow movement based on the minimum energy dissipation principle
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作者 LI Xiangning CHEN Jiangang +3 位作者 CHEN Xiaoqing ZHAO Wanyu CHEN Huayong ZHANG Shaoxiong 《Journal of Mountain Science》 SCIE CSCD 2024年第12期3961-3970,共10页
The geomorphic minimum energy dissipation principle is important in the development of gully evolutionary theory.The impact of debris flows on channels during movement also adheres to this theory.A minimum energy diss... The geomorphic minimum energy dissipation principle is important in the development of gully evolutionary theory.The impact of debris flows on channels during movement also adheres to this theory.A minimum energy dissipation model for debris flows has been obtained from previous studies,which is derived from the flow rules of runoff along a channel under rainfall or ice-snow meltwater conditions.However,the lack of consideration for erosion characteristics has hindered a comprehensive understanding of the movement characteristics of debris flow.In this paper,the phenomenon of volume increase resulting from the entrainment along debris flow movement is considered in order to derive a model for the mean velocity,reflecting the minimum energy dissipation principle.The entire expression of the mean velocity model is determined through 38 typical glacial and rainstorm debris flow cases.To evaluate the reliability of the proposed model,we employed 164 monitoring data from 1995 to 2000 in the Jiangjia gully,Yunnan,China.The results show that the velocity calculated by the proposed model are highly correlated with those obtained from the monitoring data.Additionally,a comparison is made between the mean velocities calculated by the proposed model and those obtained from previous studies,highlighting the exceptional applicability of the proposed model.This study will contribute to reveal the movement laws of debris flow along the channel. 展开更多
关键词 Debris flow minimum energy dissipation principle Longitudinal profile evolution mean velocity
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Analysis of Sampling Error Uncertainties and Trends in Maximum and Minimum Temperatures in China 被引量:2
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作者 HUA Wei Samuel S.P.SHEN WANG Huijun 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2014年第2期263-272,共10页
In this paper we report an analysis of sampling error uncertainties in mean maximum and minimum temperatures (Tmax and Tmin) carried out on monthly,seasonal and annual scales,including an examination of homogenized ... In this paper we report an analysis of sampling error uncertainties in mean maximum and minimum temperatures (Tmax and Tmin) carried out on monthly,seasonal and annual scales,including an examination of homogenized and original data collected at 731 meteorological stations across China for the period 1951-2004.Uncertainties of the gridded data and national average,linear trends and their uncertainties,as well as the homogenization effect on uncertainties are assessed.It is shown that the sampling error variances of homogenized Tmax and Tmin,which are larger in winter than in summer,have a marked northwest-southeast gradient distribution,while the sampling error variances of the original data are found to be larger and irregular.Tmax and Tmin increase in all months of the year in the study period 1951-2004,with the largest warming and uncertainties being 0.400℃ (10 yr)-1 + 0.269℃ (10 yr)-1 and 0.578℃ (10 yr)-1 + 0.211℃ (10 yr)-1 in February,and the least being 0.022℃ (10 yr)-1 + 0.085℃ (10 yr)-1 and 0.104℃ (10 yr)-1 +0.070℃ (10 yr)-1 in August.Homogenization can remove large uncertainties in the original records resulting from various non-natural changes in China. 展开更多
关键词 sampling error uncertainty maximum temperature minimum temperature temperature trend
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A novel noise reduction technique for underwater acoustic signals based on complete ensemble empirical mode decomposition with adaptive noise,minimum mean square variance criterion and least mean square adaptive filter 被引量:9
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作者 Yu-xing Li Long Wang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2020年第3期543-554,共12页
Underwater acoustic signal processing is one of the research hotspots in underwater acoustics.Noise reduction of underwater acoustic signals is the key to underwater acoustic signal processing.Owing to the complexity ... Underwater acoustic signal processing is one of the research hotspots in underwater acoustics.Noise reduction of underwater acoustic signals is the key to underwater acoustic signal processing.Owing to the complexity of marine environment and the particularity of underwater acoustic channel,noise reduction of underwater acoustic signals has always been a difficult challenge in the field of underwater acoustic signal processing.In order to solve the dilemma,we proposed a novel noise reduction technique for underwater acoustic signals based on complete ensemble empirical mode decomposition with adaptive noise(CEEMDAN),minimum mean square variance criterion(MMSVC) and least mean square adaptive filter(LMSAF).This noise reduction technique,named CEEMDAN-MMSVC-LMSAF,has three main advantages:(i) as an improved algorithm of empirical mode decomposition(EMD) and ensemble EMD(EEMD),CEEMDAN can better suppress mode mixing,and can avoid selecting the number of decomposition in variational mode decomposition(VMD);(ii) MMSVC can identify noisy intrinsic mode function(IMF),and can avoid selecting thresholds of different permutation entropies;(iii) for noise reduction of noisy IMFs,LMSAF overcomes the selection of deco mposition number and basis function for wavelet noise reduction.Firstly,CEEMDAN decomposes the original signal into IMFs,which can be divided into noisy IMFs and real IMFs.Then,MMSVC and LMSAF are used to detect identify noisy IMFs and remove noise components from noisy IMFs.Finally,both denoised noisy IMFs and real IMFs are reconstructed and the final denoised signal is obtained.Compared with other noise reduction techniques,the validity of CEEMDAN-MMSVC-LMSAF can be proved by the analysis of simulation signals and real underwater acoustic signals,which has the better noise reduction effect and has practical application value.CEEMDAN-MMSVC-LMSAF also provides a reliable basis for the detection,feature extraction,classification and recognition of underwater acoustic signals. 展开更多
关键词 Underwater acoustic signal Noise reduction Empirical mode decomposition(EMD) Ensemble EMD(EEMD) Complete EEMD with adaptive noise(CEEMDAN) minimum mean square variance criterion(MMSVC) Least mean square adaptive filter(LMSAF) Ship-radiated noise
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Low Complexity Minimum Mean Square Error Channel Estimation for Adaptive Coding and Modulation Systems 被引量:2
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作者 GUO Shuxia SONG Yang +1 位作者 GAO Ying HAN Qianjin 《China Communications》 SCIE CSCD 2014年第1期126-137,共12页
Performance of the Adaptive Coding and Modulation(ACM) strongly depends on the retrieved Channel State Information(CSI),which can be obtained using the channel estimation techniques relying on pilot symbol transmissio... Performance of the Adaptive Coding and Modulation(ACM) strongly depends on the retrieved Channel State Information(CSI),which can be obtained using the channel estimation techniques relying on pilot symbol transmission.Earlier analysis of methods of pilot-aided channel estimation for ACM systems were relatively little.In this paper,we investigate the performance of CSI prediction using the Minimum Mean Square Error(MMSE)channel estimator for an ACM system.To solve the two problems of MMSE:high computational operations and oversimplified assumption,we then propose the Low-Complexity schemes(LC-MMSE and Recursion LC-MMSE(R-LC-MMSE)).Computational complexity and Mean Square Error(MSE) are presented to evaluate the efficiency of the proposed algorithm.Both analysis and numerical results show that LC-MMSE performs close to the wellknown MMSE estimator with much lower complexity and R-LC-MMSE improves the application of MMSE estimation to specific circumstances. 展开更多
关键词 adaptive coding and modulation channel estimation minimum mean square error low-complexity minimum mean square error
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THE MAXIMUM AND MINIMUM DEGREES OF RANDOM BIPARTITE MULTIGRAPHS 被引量:1
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作者 陈爱莲 张福基 李皓 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1155-1166,共12页
In this paper the authors generalize the classic random bipartite graph model, and define a model of the random bipartite multigraphs as follows:let m = m(n) be a positive integer-valued function on n and ζ(n,m;{... In this paper the authors generalize the classic random bipartite graph model, and define a model of the random bipartite multigraphs as follows:let m = m(n) be a positive integer-valued function on n and ζ(n,m;{pk}) the probability space consisting of all the labeled bipartite multigraphs with two vertex sets A ={a_1,a_2,...,a_n} and B = {b_1,b_2,...,b_m}, in which the numbers t_(ai),b_j of the edges between any two vertices a_i∈A and b_j∈ B are identically distributed independent random variables with distribution P{t_(ai),b_j=k}=pk,k=0,1,2,...,where pk ≥0 and ∞Σk=0 pk=1. They obtain that X_(c,d,A), the number of vertices in A with degree between c and d of G_(n,m)∈ζ(n, m;{pk}) has asymptotically Poisson distribution, and answer the following two questions about the space ζ(n,m;{pk}) with {pk} having geometric distribution, binomial distribution and Poisson distribution, respectively. Under which condition for {pk} can there be a function D(n) such that almost every random multigraph G_(n,m)∈ζ(n,m;{pk}) has maximum degree D(n)in A? under which condition for {pk} has almost every multigraph G(n,m)∈ζ(n,m;{pk}) a unique vertex of maximum degree in A? 展开更多
关键词 maximum degree minimum degree degree distribution random bipartite multigraphs
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The CMB Temperature Is Simply the Geometric Mean: T_(cmb) = T_(min)T_(max) of the Minimum and Maximum Temperature in the Hubble Sphere
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作者 Espen Gaarder Haug 《Journal of Applied Mathematics and Physics》 2025年第4期1085-1096,共12页
In the Hubble sphere,we assume that the wavelength of pure energy spreads out in all directions.The maximum wavelength in the Hubble sphere is then the circumference of the Hubble sphere.We assume the minimum waveleng... In the Hubble sphere,we assume that the wavelength of pure energy spreads out in all directions.The maximum wavelength in the Hubble sphere is then the circumference of the Hubble sphere.We assume the minimum wavelength occurs in a Planck mass black hole,which is given by,4πR_(s,p)= 8πl_(p).Here,we build further on the geometric mean CMB approach by Haug and Tatum and based on new analysis given in this paper1 we conclude that the CMB temperature is simply given as:cmb min max T_(cmb)=T_(min)T_(max),which is the geometric mean of the minimum and maximum physically possible temperatures in the Hubble sphere.This again means the CMB temperature simply is the geometric mean of the Hawking temperature of the Hubble sphere(in black hole cosmology)and the Hawking temperature of the Planck mass black hole,se we have also T_(cmb)=T_(Haw,H) T_(Haw,p). 展开更多
关键词 CMB Temperature Geometric mean Temperature minimum Temperature maximum Temperature Hubble Sphere COSMOLOGY
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Minimum and Maximum Temperature Trends in Congo-Brazzaville: 1932-2010 被引量:2
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作者 Gaston Samba Dominique Nganga 《Atmospheric and Climate Sciences》 2014年第3期404-430,共27页
Maximum and minimum temperatures time series of Congo-Brazzaville are analyzed for trend and discontinuities over the period 1932 to 2010. Temperatures series show an irregular increase. A total of 8 synoptic stations... Maximum and minimum temperatures time series of Congo-Brazzaville are analyzed for trend and discontinuities over the period 1932 to 2010. Temperatures series show an irregular increase. A total of 8 synoptic stations show positive trends in their annual mean maximum temperature series, and 7 of them are significant, with higher trends for urban stations. Annual mean minimum temperature showed 6 stations having positive trends. This increase is in relation with observations at regional scale. However, the differences are observed between large towns (Brazzaville and Pointe-Noire), and small or rural towns (Dolisie, Sibiti, Impfondo, Djambala). Trends in diurnal temperature range (DTR) are large positive trends in maximum temperature that are mainly observed in cities. The curve of DTR shows a decreasing trend which indicates the increasing of minimum temperatures. The effects of urbanization on temperature trends are investigated. Most stations regarded as urban stations are still useful for trend analysis;being situated on the suburban of the studied cities, they are therefore, not substantially influenced by the urban heat island. 展开更多
关键词 CONGO REPUBLIC TEMPERATURES maximum and minimum Temperature TRENDS
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Asymmetrical Change Characteristics of Maximum and Minimum Temperatures in Shangqiu in Recent 50 Years
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作者 ZHANG Yun-xia Shangqiu Meteorological Bureau in Henan Province,Shangqiu 476000,China 《Meteorological and Environmental Research》 CAS 2011年第10期50-54,58,共6页
[Objective] The research aimed to analyze temporal and spatial variation characteristics of temperature in Shangqiu City during 1961-2010.[Method] Based on temperature data in eight meteorological stations of Shangqiu... [Objective] The research aimed to analyze temporal and spatial variation characteristics of temperature in Shangqiu City during 1961-2010.[Method] Based on temperature data in eight meteorological stations of Shangqiu during 1961-2010,by using trend analysis method,the temporal and spatial evolution characteristics of annual average temperature,annual average maximum and minimum temperatures,annual extreme maximum and minimum temperatures,daily range of annual average temperature in Shangqiu City were analyzed.M-K method was used to determine mutation year of temperature.[Result] The annual average temperature,annual average minimum temperature and annual extreme minimum temperature respectively rose at 0.122,0.255 and 0.488 ℃/10 a.The variation trend of annual average maximum temperature wasn’t obvious.The daily range of annual average temperature and annual extreme maximum temperature respectively declined at-0.217 and-0.292 ℃/10 a.Seen from spatial distribution,the increase amplitudes of annual average temperature,annual average minimum temperature and annual extreme minimum temperature were all large in the east and small in the west.The decrease amplitude of daily range of annual average temperature was large in the east and small in the west.The decrease amplitude of annual extreme maximum temperature was large in the west and small in the east.The annual average maximum temperature had trends of increase and decrease.The annual average temperature,annual average minimum temperature and daily range of annual average temperature all mutated in 1997.The annual average maximum temperature didn’t have obvious mutation point.The annual extreme maximum temperature mutated in 1973.The annual extreme minimum temperature respectively mutated in 1989 and 1999.[Conclusion] The research played important guidance significances in adjustment of agricultural production structure,regional climate planning,reasonably using climate resource and replying climate change in Shangqiu City. 展开更多
关键词 Average temperature maximum and minimum temperatures Extreme temperature Daily range Climate change Temporal and spatial variation characteristics China
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Treatment of Skeletal CL II Patient with Maximum Lower Incisor Protrusion and Minimum Overjet with Rahhal Functional Appliance
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作者 Ahmad Abdallah Rahhal 《Open Journal of Stomatology》 2018年第12期319-325,共7页
Treatment of skeletal Cl II includes functional orthopedic treatment, head-gears, extraction of the upper premolars and orthognathic surgery. To treat any patient with functional appliances (bite jumping) an adequate ... Treatment of skeletal Cl II includes functional orthopedic treatment, head-gears, extraction of the upper premolars and orthognathic surgery. To treat any patient with functional appliances (bite jumping) an adequate overjet is necessary. In this case an 11 years old female patient has skeletal CLII due to mandibular deficiency with ANB angle 8 degrees, overbite: 3 mm, overjet: 1 mm, extremely convex profile and underdeveloped chin due to the hyper muscle contraction of the lower lip to obtain oral seal. To obtain an adequate overjet lower first premolars were extracted and maximum retraction using mini screws (for maximum anchorage) was applied. Afterwards Rahhal functional appliance was used by the patient 16 hours a day for 6 months and 10 hours a day for another 6 months for retention. After that fixed orthodontic treatment was completed. Lateral cephalometrics were taken, traced and analyzed. In the result Skeletal CLI was obtained (ANB 4 degree), straight facial profile, normal over bite overjet and particular chin development were noticed. As a conclusion, in skeletal CLII malocclusions, lower incisor protrusion will cause a contraindication for functional treatment. Extraction of the lower premolars and retraction of the lower incisors followed by functional orthopedic treatment is an efficient method to treat these cases instead of waiting for orthognathic surgery, also reducing the muscle pressure on the chin will change the development characteristics of it. 展开更多
关键词 Rahhal Functional APPLIANCE Lower INCISOR PROTRUSION minimum Overjet maximum ANCHORAGE CHIN Development
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Minimum and Maximum Resistance Status of Unicyclic Graphs
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作者 Meiqun CHENG Bo ZHOU 《Journal of Mathematical Research with Applications》 CSCD 2022年第5期463-475,共13页
The resistance status of a vertex of a connected graph is the sum of the resistance distance between this vertex and any other vertices of the graph. The minimum(maximum,resp.) resistance status of a connected graph i... The resistance status of a vertex of a connected graph is the sum of the resistance distance between this vertex and any other vertices of the graph. The minimum(maximum,resp.) resistance status of a connected graph is the minimum(maximum, resp.) resistance status of all vertices of the graph. In this paper, we determine the extremal values and corresponding extremal graphs for the minimum(maximum, resp.) resistance status over all unicyclic graphs of fixed order, and we also discuss the dependence of the minimum(maximum, resp.) resistance status on the girth of unicyclic graphs. 展开更多
关键词 minimum resistance status maximum resistance status resistance distance unicyclic graph extremal graph
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The Joint Distribution of the Maximum Excursion and the Minimum Excursion for Brownian Motion with Drift
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作者 LUe Yu-hua XU Run 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期57-62,共6页
In this paper, we discuss the problem of extreme value for Brownian motion with positive drift. We obtain the joint distribution of the maximum excursion and the minimum excursion.
关键词 Brownian motion ruin time the first hitting time the last exit time maximum excursion minimum excursion
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A Mean-Field Stochastic Maximum Principle for Optimal Control of Forward-Backward Stochastic Differential Equations with Jumps via Malliavin Calculus 被引量:1
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作者 Qing Zhou Yong Ren 《Journal of Applied Mathematics and Physics》 2018年第1期138-154,共17页
This paper considers a mean-field type stochastic control problem where the dynamics is governed by a forward and backward stochastic differential equation (SDE) driven by Lévy processes and the information avail... This paper considers a mean-field type stochastic control problem where the dynamics is governed by a forward and backward stochastic differential equation (SDE) driven by Lévy processes and the information available to the controller is possibly less than the overall information. All the system coefficients and the objective performance functional are allowed to be random, possibly non-Markovian. Malliavin calculus is employed to derive a maximum principle for the optimal control of such a system where the adjoint process is explicitly expressed. 展开更多
关键词 Malliavin CALCULUS maximum PRINCIPLE FORWARD-BACKWARD Stochastic Differential Equations mean-FIELD Type JUMP Diffusion Partial Information
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Distribution of the Maximum and Minimum of a Random Number of Bounded Random Variables
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作者 Jie Hao Anant Godbole 《Open Journal of Statistics》 2016年第2期274-285,共12页
We study a new family of random variables that each arise as the distribution of the maximum or minimum of a random number N of i.i.d. random variables X<sub>1</sub>, X<sub>2</sub>,…, X<sub... We study a new family of random variables that each arise as the distribution of the maximum or minimum of a random number N of i.i.d. random variables X<sub>1</sub>, X<sub>2</sub>,…, X<sub>N</sub>, each distributed as a variable X with support on [0, 1]. The general scheme is first outlined, and several special cases are studied in detail. Wherever appropriate, we find estimates of the parameter θ in the one-parameter family in question. 展开更多
关键词 maximum and minimum Random Number of i.i.d. Variables Statistical Inference
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Application of Machine-Learning-Based Objective Correction Method in the Intelligent Grid Maximum and Minimum Temperature Predictions
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作者 Jing Liu Chuan Ren +2 位作者 Ningle Yuan Shuai Zhang Yue Wang 《Atmospheric and Climate Sciences》 2023年第4期507-525,共19页
Post-processing correction is an effective way to improve the model forecasting result. Especially, the machine learning methods have played increasingly important roles in recent years. Taking the meteorological obse... Post-processing correction is an effective way to improve the model forecasting result. Especially, the machine learning methods have played increasingly important roles in recent years. Taking the meteorological observational data in a period of two years as the reference, the maximum and minimum temperature predictions of Shenyang station from the European Center for Medium-Range Weather Forecasts (ECMWF) and national intelligent grid forecasts are objectively corrected by using wavelet analysis, sliding training and other technologies. The evaluation results show that the sliding training time window of the maximum temperature is smaller than that of the minimum temperature, and their difference is the largest in August, with a difference of 2.6 days. The objective correction product of maximum temperature shows a good performance in spring, while that of minimum temperature performs well throughout the whole year, with an accuracy improvement of 97% to 186%. The correction effect in the central plains is better than in the regions with complex terrain. As for the national intelligent grid forecasts, the objective correction products have shown positive skills in predicting the maximum temperatures in spring (the skill-score reaches 0.59) and in predicting the minimum temperature at most times of the year (the skill-score reaches 0.68). 展开更多
关键词 Machine Learning Sliding Training Forecast Correction maximum and minimum Temperature
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Minimum Expenses,Maximum Savings:How to Live in China Smartly
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《国际人才交流》 2011年第9期58-59,共2页
For more information,please click www.echinacities.com While it's at least very annoying,and at most woefully erroneous that many Chinese people judge all foreigners to be totally minted,it's not hard to see w... For more information,please click www.echinacities.com While it's at least very annoying,and at most woefully erroneous that many Chinese people judge all foreigners to be totally minted,it's not hard to see why,when many foreigners are here living decadent lifestyles,partying on weekends(and weekdays),travelling all over the country and mincing around town with Macbooks,iPods and Ray Bans.But then there are the secret 'squirrelers',who scrimp together just enough cash to 展开更多
关键词 MORE minimum Expenses maximum Savings
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On the Distribution of the Minimum or Maximum of a Random Number of i.i.d. Lifetime Random Variables
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作者 Francisco Louzada Estela MPBereta Maria APFranco 《Applied Mathematics》 2012年第4期350-353,共4页
Statisticians are usually concerned with the proposition of new distributions. In this paper we point out that a unified and concise derivation procedure of the distribution of the minimum or maximum of a random numbe... Statisticians are usually concerned with the proposition of new distributions. In this paper we point out that a unified and concise derivation procedure of the distribution of the minimum or maximum of a random number N of indepen-dent and identically distributed continuous random variables Yi,{i = 1,2,…,N} is obtained if one compounds the probability generating function of N with the survival or the distribution func-tion of Yi. Expressions are then derived in closed form for the density, hazard and quantile func-tions of the minimum or maximum. The methodology is illustrated with examples of the distributions proposed by Adamidis and Loukas (1998), Kus (2007), Tahmasbi and Rezaei (2008), Barreto-Souza and Cribari-Neto (2009), Cancho, Louzada, and Barriga (2011) and Louzada, Roman and Cancho (2011). 展开更多
关键词 Compounding Distributions Distribution of the maximum Distribution of the minimum Probability Generating Function
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Gradient Estimate of Solutions to a Class of Mean Curvature Equations with Prescribed Contact Angle Boundary Problem
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作者 Yuan Shengtong Han Fei 《数学理论与应用》 2024年第3期94-105,共12页
This paper studies the prescribed contact angle boundary value problem of a certain type of mean curvature equation.Applying the maximum principle and the moving frame method and based on the location of the maximum p... This paper studies the prescribed contact angle boundary value problem of a certain type of mean curvature equation.Applying the maximum principle and the moving frame method and based on the location of the maximum point,the boundary gradient estimation of the solutions to the equation is obtained. 展开更多
关键词 Moving frame maximum principle Prescribed contact angle boundary value problem mean curvature equation
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基于深度子领域适应卷积神经网络的结构损伤识别 被引量:1
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作者 张健飞 曹雨 《振动与冲击》 北大核心 2025年第3期251-260,共10页
针对卷积神经网络(convolutional neural networks,CNN)结构损伤识别模型泛化能力差的问题,提出了一种基于深度子领域适应卷积神经网络(deep subdomain adaptation convolutional neural networks,DSACNN)的结构损伤识别方法。以实际结... 针对卷积神经网络(convolutional neural networks,CNN)结构损伤识别模型泛化能力差的问题,提出了一种基于深度子领域适应卷积神经网络(deep subdomain adaptation convolutional neural networks,DSACNN)的结构损伤识别方法。以实际结构为目标域,以有限元模型为源域,根据损伤类别将源域和目标域划分成一系列子领域。在CNN中嵌入子领域适应模块,构建DSACNN模型,通过最小化源域上的损伤分类误差和领域之间的局部最大均值差异,对齐两个领域对应子领域的特征、建立特征与损伤类别之间的映射,从而将源域上的损伤识别能力迁移到目标域之上。模型的训练无需已知目标域样本的损伤标签,采用预训练全局领域适应提高其伪标签的准确率。试验结果表明:与全局领域适应模型相比,基于预训练全局领域适应的DSACNN模型在模拟目标域上准确率最大提高幅度达到21.8%,在实测目标域上提高了9.6%,具有更强的泛化能力。 展开更多
关键词 结构损伤识别 子领域适应 局部最大均值差异 卷积神经网络(CNN)
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