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Modelling of Daily Long-Term Urban Road Traffic Flow Distribution: A Poisson Process Approach 被引量:1
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作者 Jojo D. Lartey 《Open Journal of Modelling and Simulation》 2025年第1期89-105,共17页
Road traffic flow forecasting provides critical information for the operational management of road mobility challenges, and models are used to generate the forecast. This paper uses a random process to present a novel... Road traffic flow forecasting provides critical information for the operational management of road mobility challenges, and models are used to generate the forecast. This paper uses a random process to present a novel traffic modelling framework for aggregate traffic on urban roads. The main idea is that road traffic flow is random, even for the recurrent flow, such as rush hour traffic, which is predisposed to congestion. Therefore, the structure of the aggregate traffic flow model for urban roads should correlate well with the essential variables of the observed random dynamics of the traffic flow phenomena. The novelty of this paper is the developed framework, based on the Poisson process, the kinematics of urban road traffic flow, and the intermediate modelling approach, which were combined to formulate the model. Empirical data from an urban road in Ghana was used to explore the model’s fidelity. The results show that the distribution from the model correlates well with that of the empirical traffic, providing a strong validation of the new framework and instilling confidence in its potential for significantly improved forecasts and, hence, a more hopeful outlook for real-world traffic management. 展开更多
关键词 poisson Process Macroscopic Traffic Flow Urban Road Long-Term Forecast Multiple Entries-Exits Dynamics
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A New Method to Obtain Neutrons with Maxwellian Energy Distribution for Nuclear Astrophysics Study
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作者 HOU Jianglin YAN Shengquan +7 位作者 LI Yunju ZHANG Weijie LI Ertao WANG Youbao SHEN Yangping WANG Zhiqiang LIU Yina GUO Bing 《原子能科学技术》 北大核心 2026年第1期1-6,共6页
To generate a neutron beam exhibiting a Maxwellian energy distribution with narrow emission angles for measuring the neutron capture reaction rates of the s-process nuclides,a monoenergetic 3.4 MeV proton beam produce... To generate a neutron beam exhibiting a Maxwellian energy distribution with narrow emission angles for measuring the neutron capture reaction rates of the s-process nuclides,a monoenergetic 3.4 MeV proton beam produced by the tandem-accelerator in the China Institute of Atomic Energy was utilized.The proton beam was first transmitted through a 60.5μm aluminum foil and then impinged on a natural LiF target to produce neutron beam via^(7)Li(p,n)7Be reaction.The quasi-Gaussian energy distribution of protons in the LiF target resulted in neutron energy spectra that agreed with a Maxwellian energy distribution at kT=(22±2)keV,which was achieved by integrating neutrons detected within an emission angle of 65.0°±2.6°using a ^(6)Li glass detector positioned at 65°relative to the proton beam direction.The narrow angular spread of the Maxwelliandistributed neutron beam enables direct measurement of neutron capture cross-sections for most s-process nuclides,overcoming previous experimental limitations associated with broad angular distributions. 展开更多
关键词 Maxwellian energy distribution neutron beam S-PROCESS
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Experimental and Numerical Analysis on Mechanical Behaviors of Negative Poisson’s Ratio Metamaterials
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作者 Zeyu Han Chengbei He Liang Wang 《Computer Modeling in Engineering & Sciences》 2026年第2期234-252,共19页
Negative Poisson’s ratio materials and structures exhibit lateral expansion under tensile loading,demonstrating significant mechanical advantages over conventional materials.This study systematically investigated thr... Negative Poisson’s ratio materials and structures exhibit lateral expansion under tensile loading,demonstrating significant mechanical advantages over conventional materials.This study systematically investigated three typical two-dimensional negative Poisson’s ratio metamaterial structures(Concave honeycomb,Anti-chiral,and Anti-chiral concave honeycomb hybrid structures)through both experimental tests and numerical analysis.The test specimens were fabricated using selective laser melting(SLM)additive manufacturing technology,and the experimental test was conducted with the use of a DIC strain measurement system.The numerical studies were performed considering both static tensile loading and dynamic impact loading with different strain rates.The deformation behaviors,failure process,negative Poisson’s ratio effects,and energy absorption capacity of the three different metamaterial structures are systematically investigated,and the associated mechanical mechanisms are thoroughly revealed.Results and findings of this work could provide valuable guidance for the engineering design and application of negative Poisson’s ratio metamaterials and structures. 展开更多
关键词 Negative poisson’s ratio METAMATERIALS energy absorption failure mechanisms
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Vascular plant diversity and distribution pattern in Tajikistan:A global hotspot of diversity
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作者 ZHOU Yixin MA Suliya +7 位作者 LI Wenjun Parvina KURBONOVA Mariyo BOBOEV LI Yufan Hikmat HISORIEV MA Keping YANG Weikang ZHANG Yuanming 《Regional Sustainability》 2026年第1期37-53,共17页
Tajikistan represents a core region of the biodiversity hotspot in Central Asian mountains and has exceptional vascular plant diversity.However,the species diversity of the country faces urgent conservation challenges... Tajikistan represents a core region of the biodiversity hotspot in Central Asian mountains and has exceptional vascular plant diversity.However,the species diversity of the country faces urgent conservation challenges.There has been a lack of a comprehensive and multidimensional assessment to inform strategic conservation planning.Therefore,this study integrated 4 key biodiversity indices including species richness(SR),phylogenetic diversity(PD),threatened species richness(TSR),and endemic species richness(ESR)to map species diversity distribution patterns,identify conservation gaps,and elucidate their effects of climatic factors.This study revealed that species diversity shows a clear trend of decreasing from the western region to the eastern region of Tajikistan.The central–western mountains(specifically the Gissar-Darvasian and Zeravshanian regions)emerge as irreplaceable biodiversity hotspots.However,we found a severe spatial mismatch between these priority areas and the existing protected areas(PAs).Protection coverage for all hotspots was alarmingly low,ranging from 31.00%to 38.00%.Consequently,a critical 64.80%of integrated priority areas fall outside of the current PAs,representing a major conservation gap.This study identified precipitation seasonality and isothermality as the principal drivers,collectively explaining over 50.00%of the diversity variation and suggesting high vulnerability to hydrological shifts.Furthermore,we detected significant geographic sampling bias in the public biodiversity databases,with the most critical hotspot being systematically under-sampled.This study provides a robust scientific basis for conservation action,highlighting the urgent need to strategically expand PAs in the under-protected southwestern region and to mitigate critical sampling gaps through targeted data digitization and field surveys.These measures are indispensable for securing Tajikistan’s unique biodiversity and achieving the Kunming-Montreal Global Biodiversity Framework Target 3(“30×30 Protection”). 展开更多
关键词 Vascular plant Species diversity distribution pattern Conservation gaps TAJIKISTAN
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Effects of climate change on the richness distribution of Phyllostachys species in China
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作者 Qianyue Yang Xingzhuang Ye +1 位作者 Gaohao Guo Long Li 《Journal of Forestry Research》 2026年第2期116-130,共15页
Climate change disrupts the distribution of species and restructures their richness patterns.The genus of Asian bamboo,Phyllostachys,possesses significant ecological and economic values,and represents the most species... Climate change disrupts the distribution of species and restructures their richness patterns.The genus of Asian bamboo,Phyllostachys,possesses significant ecological and economic values,and represents the most speciesrich genus in the Bambusoideae subfamily.Based on the distribution data of 46 species and 20 environmental variables,we used the MaxEnt model combined with ArcGIS calculations to simulate current and future potential richness distributions under three distinct CO_(2) emission scenarios.The results showed that the MaxEnt model had a good predictive ability,with a mean area under the working characteristic curve(AUC value)of 0.91 for all species.The main environmental variables that impacted the future distribution of most Phyllostachys species were elevation,variations of seasonal precipitation,and mean diurnal range.Phyllostachys species are currently concentrated in southeastern China.Under future climate projections,18 species exhibited significant habitat contraction across three or more future climate scenarios,but suitable habitats for other species will expand.This enhancement is most pronounced under the extreme climate scenario(2090s-SSP585),primarily driven by high species gains contributing to elevated turnover values across scenarios.The center of maximum richness will progressively shift southwestward over time.Predictive modeling of Phyllostachys richness distribution dynamics under climate change enhances our understanding of its biogeography and informs strategic introduction programs to bamboo management and augments China’s carbon sequestration capacity. 展开更多
关键词 Climate change MaxEnt model Richness distribution pattern PHYLLOSTACHYS
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Predicting global distribution of the giant kelp Macrocystis pyrifera under climate warming
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作者 Shuxiang RUAN Ke SUN +7 位作者 Yitao WANG Xiaowen ZHANG Dong XU Xiao FAN Wei WANG Pengyan ZHANG Lepu WANG Naihao YE 《Journal of Oceanology and Limnology》 2026年第1期160-173,共14页
Giant kelp Macrocystis pyrifera,an important foundation species with great ecological and economic value,is threatened by climate change.To better understand the impact of climate warming on M.pyrifera,we investigated... Giant kelp Macrocystis pyrifera,an important foundation species with great ecological and economic value,is threatened by climate change.To better understand the impact of climate warming on M.pyrifera,we investigated its global distribution dynamics by an optimized species distribution model(SDM).Results showed that wave height,sea surface temperature,benthic temperature,and benthic phosphate concentration were key factors shaping the distribution of M.pyrifera.In addition to currently known distribution regions,the model revealed potential suitable habitats globally.Under future climate scenarios,the habitat suitability of M.pyrifera would decrease at low latitudes and increase at high latitudes,resulting in a poleward shift of suitable habitats.In the regions currently occupied by M.pyrifera,the high suitable habitats were predicted to shrink,which implies that the existing M.pyrifera would be adversely impacted.These results serve as references for the conservation and utilization of M.pyrifera resource. 展开更多
关键词 Macrocystis pyrifera kelp forest species distribution model(SDM) MAXENT climate warming
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Dual Layer Source Grid Load Storage Collaborative Planning Model Based on Benders Decomposition: Distribution Network Optimization Considering Low-Carbon and Economy
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作者 Jun Guo Maoyuan Chen +2 位作者 Yuyang Li Sibo Feng Guangyu Fu 《Energy Engineering》 2026年第2期104-133,共30页
Theauthor proposes a dual layer source grid load storage collaborative planning model based on Benders decomposition to optimize the low-carbon and economic performance of the distribution network.The model plans the ... Theauthor proposes a dual layer source grid load storage collaborative planning model based on Benders decomposition to optimize the low-carbon and economic performance of the distribution network.The model plans the configuration of photovoltaic(3.8 MW),wind power(2.5 MW),energy storage(2.2 MWh),and SVC(1.2 Mvar)through interaction between upper and lower layers,and modifies lines 2–3,8–9,etc.to improve transmission capacity and voltage stability.The author uses normal distribution and Monte Carlo method to model load uncertainty,and combines Weibull distribution to describe wind speed characteristics.Compared to the traditional three-layer model(TLM),Benders decomposition-based two-layer model(BLBD)has a 58.1%reduction in convergence time(5.36 vs.12.78 h),a 51.1%reduction in iteration times(23 vs.47 times),a 8.07%reduction in total cost(12.436 vs.13.528 million yuan),and a 9.62%reduction in carbon emissions(12,456 vs.13,782 t).After optimization,the peak valley difference decreased from4.1 to 2.9MW,the renewable energy consumption rate reached 93.4%,and the energy storage efficiency was 87.6%.Themodel has been validated in the IEEE 33 node system,demonstrating its superiority in terms of economy,low-carbon,and reliability. 展开更多
关键词 Benders decomposition source grid load storage distribution network planning low-carbon economy optimization model
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GranuSAS:Software of rapid particle size distribution analysis from small angle scattering data
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作者 Qiaoyu Guo Fei Xie +3 位作者 Xuefei Feng Zhe Sun Changda Wang Xuechen Jiao 《Chinese Physics B》 2026年第2期216-225,共10页
Small angle x-ray scattering(SAXS)is an advanced technique for characterizing the particle size distribution(PSD)of nanoparticles.However,the ill-posed nature of inverse problems in SAXS data analysis often reduces th... Small angle x-ray scattering(SAXS)is an advanced technique for characterizing the particle size distribution(PSD)of nanoparticles.However,the ill-posed nature of inverse problems in SAXS data analysis often reduces the accuracy of conventional methods.This article proposes a user-friendly software for PSD analysis,GranuSAS,which employs an algorithm that integrates truncated singular value decomposition(TSVD)with the Chahine method.This approach employs TSVD for data preprocessing,generating a set of initial solutions with noise suppression.A high-quality initial solution is subsequently selected via the L-curve method.This selected candidate solution is then iteratively refined by the Chahine algorithm,enforcing constraints such as non-negativity and improving physical interpretability.Most importantly,GranuSAS employs a parallel architecture that simultaneously yields inversion results from multiple shape models and,by evaluating the accuracy of each model's reconstructed scattering curve,offers a suggestion for model selection in material systems.To systematically validate the accuracy and efficiency of the software,verification was performed using both simulated and experimental datasets.The results demonstrate that the proposed software delivers both satisfactory accuracy and reliable computational efficiency.It provides an easy-to-use and reliable tool for researchers in materials science,helping them fully exploit the potential of SAXS in nanoparticle characterization. 展开更多
关键词 small angle x-ray scattering data analysis software particle size distribution inverse problem
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Optimal Dispatch of Urban Distribution Networks Considering Virtual Power Plant Coordination under Extreme Scenarios
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作者 Yong Li Yuxuan Chen +4 位作者 Jiahui He Guowei He Chenxi Dai Jingjing Tong Wenting Lei 《Energy Engineering》 2026年第1期204-220,共17页
Ensuring reliable power supply in urban distribution networks is a complex and critical task.To address the increased demand during extreme scenarios,this paper proposes an optimal dispatch strategy that considers the... Ensuring reliable power supply in urban distribution networks is a complex and critical task.To address the increased demand during extreme scenarios,this paper proposes an optimal dispatch strategy that considers the coordination with virtual power plants(VPPs).The proposed strategy improves systemflexibility and responsiveness by optimizing the power adjustment of flexible resources.In the proposed strategy,theGaussian Process Regression(GPR)is firstly employed to determine the adjustable range of aggregated power within the VPP,facilitating an assessment of its potential contribution to power supply support.Then,an optimal dispatch model based on a leader-follower game is developed to maximize the benefits of the VPP and flexible resources while guaranteeing the power balance at the same time.To solve the proposed optimal dispatch model efficiently,the constraints of the problem are reformulated and resolved using the Karush-Kuhn-Tucker(KKT)optimality conditions and linear programming duality theorem.The effectiveness of the strategy is illustrated through a detailed case study. 展开更多
关键词 Urban distribution network virtual power plant power supply support leader-follower optimization game extreme weather scenarios
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Designing an air electrode for dual ceramic cells using an ionic Lewis acid strength polarization distribution strategy
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作者 Ying Zhang Yibei Wang +8 位作者 Zhilin Liu Yaowen Wang Zhen Wang Youcheng Xiao Bingbing Niu Xiyang Wang Guntae Kim Wenquan Wang Tianmin He 《Journal of Energy Chemistry》 2026年第1期505-516,I0012,共13页
Ceramic cells promise ideal energy conversion and storage devices,making the development of efficient and robust air electrodes crucial for their application.In this study,a Ba_(0.4)Sr_(0.5)Cs_(0.1)Co_(0.7)Fe_(0.2)Nb_... Ceramic cells promise ideal energy conversion and storage devices,making the development of efficient and robust air electrodes crucial for their application.In this study,a Ba_(0.4)Sr_(0.5)Cs_(0.1)Co_(0.7)Fe_(0.2)Nb_(0.1)O_(3−δ)(BSCCFN)air electrode,based on Ba_(0.5)Sr_(0.5)Co_(0.8)Fe_(0.2)O_(3−δ)(BSCF),is designed using a perovskite A-B-site ionic Lewis acid strength(ISA)polarization distribution strategy and is successfully applied in both oxygen-ion conducting solid oxide fuel cells(O-SOFCs)and proton-conducting reversible protonic ceramic cells(R-PCCs).When BSCCFN is used as the air electrode in O-SOFCs,a peak power density(PPD)of 1.45 W cm^(−2)is achieved at 650°C,whereas in R-PCCs,a PPD of 1.13 W cm^(−2)and a current density of−1.8 A cm^(−2)at 1.3 V are achieved at the same temperature and show stable reversibility over 100 h.Experimental measurements and theoretical calculations demonstrate that low-ISA Cs+doping accelerates the reaction kinetics of both oxygen ions and protons,while high-ISA Nb^(5+)doping enhances electrode stability.The synergistic effect of Cs^(+)and Nb^(5+)co-doping in the BSCCFN electrode lies in the ISA polarization distribution,which weakens the Co/Fe–O bond covalency,thereby promoting oxygen vacancy formation and facilitating the conduction of oxygen ions and protons. 展开更多
关键词 Air electrode Ceramic cell Electrochemical performance lonic Lewis acid strength polarization distribution Co/Fe-O bond
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Optimizing nitrogen application and planting density improves yield and resource use efficiency via regulating canopy light and nitrogen distribution in rice
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作者 Zichen Liu Liyan Shang +8 位作者 Shuaijun Dai Jiayu Ye Tian Sheng Jun Deng Ke Liu Shah Fahad XiaohaiTian Yunbo Zhang Liying Huang 《Journal of Integrative Agriculture》 2026年第1期81-91,共11页
Coordinating light and nitrogen(N)distribution within a canopy is essential for improving rice yield and resource use efficiency.However,limited research has examined light and N distribution in response to planting d... Coordinating light and nitrogen(N)distribution within a canopy is essential for improving rice yield and resource use efficiency.However,limited research has examined light and N distribution in response to planting density and N rate,and their relationships with grain yield,radiation use efficiency(RUE),and N use efficiency for grain production(NUEg)in rice.A two-year field experiment was conducted with two hybrid varieties under three N levels,0 kg ha^(-1)(N1),90 kg ha^(-1)(N2)and 180 kg ha^(-1)(N3),and two planting densities,22.2 hills m-2(D1)and 33.3 hills m^(-2)(D2).Results showed 3.4%higher yield and 4.4%higher NUEg under N2D2 compared with N3D1.The extinction coefficient for N(K_(N))and light(K_(L))and their ratio(K_(N)/K_(L))at heading stage were significantly influenced by N rate,planting density,and their interaction.K_(N)decreased with the increase of N input or planting density.Compared to N1,K_(N)decreased by 43.5 and 58.8%under N2 and N3,respectively,while K_(N)under D2 decreased by 16.0%compared to D1.Higher K_(L)and K_(N)/K_(L)values occurred under low N rates,with opposite trends under high N rates.Increased planting density led to decreased K_(L)and K_(N)/K_(L)values.N2D2 demonstrated higher K_(L)and K_(N),and thus comparable K_(N)/K_(L),compared to N3D1.Correlation analysis revealed K_(L)negatively correlated with RUE,while K_(N)and K_(N)/K_(L)positively correlated with NUEg.These findings indicate that increasing planting density under reduced N input could maintain rice yield while enhancing resource use efficiency through regulation of canopy light and N distribution. 展开更多
关键词 canopy light and N distribution nitrogen input planting density high yield and high efficiency hybrid rice
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有向Poisson网络模型的渐近性理论 被引量:1
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作者 罗敬 秦兆伦 《中南民族大学学报(自然科学版)》 CAS 2025年第1期118-125,共8页
研究了有向Poisson网络模型极大似然估计量的渐近性理论.考虑当网络顶点的个数趋于无穷大时,推导出有向Poisson网络模型极大似然估计量线性组合的中心极限定理.此外,通过数值模拟对理论结果进行了验证,期望能够为有向加权网络模型的统... 研究了有向Poisson网络模型极大似然估计量的渐近性理论.考虑当网络顶点的个数趋于无穷大时,推导出有向Poisson网络模型极大似然估计量线性组合的中心极限定理.此外,通过数值模拟对理论结果进行了验证,期望能够为有向加权网络模型的统计推断提供坚实的理论基础. 展开更多
关键词 有向网络 poisson模型 极大似然估计 中心极限定理 渐近正态性
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约束Herglotz方程的代数结构与非保守系统的Poisson积分理论
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作者 张毅 王文静 《力学学报》 北大核心 2025年第6期1469-1479,共11页
无论完整或非完整约束系统,如果存在非保守力,则这些系统的方程一般不具有Lie代数结构,从而经典Poisson积分理论只能部分地应用于这些系统的积分问题.通过Herglotz原理可导出非保守系统的一类动力学方程,即Herglotz方程.研究Herglotz方... 无论完整或非完整约束系统,如果存在非保守力,则这些系统的方程一般不具有Lie代数结构,从而经典Poisson积分理论只能部分地应用于这些系统的积分问题.通过Herglotz原理可导出非保守系统的一类动力学方程,即Herglotz方程.研究Herglotz方程的代数结构,进而建立其Poisson积分理论,对于深入探寻非保守系统的动力学特性具有重要意义.文章研究Herglotz方程的代数结构,进而建立非保守系统的Poisson理论,包括完整和非完整情形.首先,针对完整非保守系统,建立其Herglotz方程,引入积分因子将方程化为逆变代数形式,证明其具有Lie代数结构,从而Poisson理论可全部地应用于该系统.其次,针对非完整非保守系统,建立其约束Herglotz方程,利用积分因子将方程化为部分正则的逆变代数形式,证明约束Herglotz方程具有Lie容许代数结构,进而建立非完整非保守系统的Poisson理论.若非完整非保守系统实现自由运动,则约束Herglotz方程具有Lie代数结构,Poisson理论仍可全部地应用于该系统.文中以某非线性方程系统,受均匀和各向同性瑞利耗散力作用的在粗糙水平面上作纯滚动的圆球,以及受黏性阻尼的Appell-Hamel问题为例,分析了约束Herglotz方程的代数结构并演示所述Poisson理论的应用. 展开更多
关键词 非保守系统 约束Herglotz 方程 代数结构 poisson 理论
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Frequency of typhoon occurrence accounts for the Poisson distribution of human leptospirosis cases across the different geographic regions in the Philippines 被引量:1
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作者 Derick Erl P.Sumalapao Benjamin Kyle M.Del Rosario +2 位作者 Lara Beatrice L.Su?ga Catherine C.Walthern Nina G.Gloriani 《Asian Pacific Journal of Tropical Medicine》 SCIE CAS 2019年第1期38-42,共5页
Objective: To study the distribution of human leptospirosis cases across the different geographic regions in the Philippines in 2015-2017 and to determine the relationship between the frequency of typhoon occurrence a... Objective: To study the distribution of human leptospirosis cases across the different geographic regions in the Philippines in 2015-2017 and to determine the relationship between the frequency of typhoon occurrence and human leptospirosis cases. Methods: Information on the frequency of leptospirosis cases and typhoon occurrence across the different regions in the Philippines from 2015 to 2017 was retrieved from the databases of the Department of Health and the Philippine Atmospheric, Geophysical, and Astronomical Services Administration, respectively. Descriptive measures on the prevalent cases and occurrence of typhoons across the different regions were summarized. Linear regression analysis was employed to establish the functional relationship between leptospirosis cases and typhoon occurrence. The distribution of human leptospirosis cases was assessed using the Poisson distribution. Results: The frequency of typhoon occurrence accounted for the significant linear variation in the geographic distribution of human leptospirosis cases in the Philippines(P<0.001). Moreover, the human leptospirosis cases obeyed a Poisson distribution(λ=6.89, P<0.001). Conclusions: The Philippines has frequently experienced severe weather perturbations such as typhoons resulting in flooding and subsequently increasing the risk of transmitting bacterial infections including leptospirosis. Information obtained regarding the determinants and distribution of human leptospirosis will provide better understanding of the disease propagation for subsequent design of optimal disease prevention measures, appropriate resource allocation, effective control strategies, and necessary public health programs. 展开更多
关键词 HUMAN LEPTOSPIROSIS TYPHOON poisson distribution Philippines
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Poisson Distribution Results for v-Spirallike Functions of Orderγ
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作者 Sahsene Altlnkaya 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2022年第3期415-421,共7页
The main objective of this organized paper is to establish the Poisson distribution conditions for the v-spirallike function classes S(γ;ψ)and K(γ;ψ).We also investigate an integral operator associated with the Po... The main objective of this organized paper is to establish the Poisson distribution conditions for the v-spirallike function classes S(γ;ψ)and K(γ;ψ).We also investigate an integral operator associated with the Poisson distribution. 展开更多
关键词 analytic function spirallike function poisson distribution
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Improvement on MLE of the Means of Independent Poisson Distribution
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作者 李排昌 《Northeastern Mathematical Journal》 CSCD 2000年第3期315-318,共4页
In this paper, we consider the simultaneous estimation of the pa rameters (means) of the independent Poisson distribution by using the following loss functions:L0(θ,T)=ni=1(Ti-θi)2, L1(θ,T)=ni=1(Ti-θi)2/θiWe ... In this paper, we consider the simultaneous estimation of the pa rameters (means) of the independent Poisson distribution by using the following loss functions:L0(θ,T)=ni=1(Ti-θi)2, L1(θ,T)=ni=1(Ti-θi)2/θiWe develop an estimator which is better than the maximum likelihood estimator X simultaneously under L0(θ,T) and L1(θ,T). Our estimator possesses substantially smaller risk than the usual estimator X to estimate the param eters (means) of the independent Poisson distribution. 展开更多
关键词 poisson distribution ADMISSIBILITY loss fun ction RISK maximum likelihood estimator
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Estimation of Poisson-Generalized Pareto Compound Extreme Value Distribution by Probability-Weighted Moments and Empirical Analysis 被引量:4
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作者 刘晶 史道济 吴新荣 《Transactions of Tianjin University》 EI CAS 2008年第1期50-54,共5页
This paper puts forward a Poisson-generalized Pareto (Poisson-GP) distribution. This new form of compound extreme value distribution expands the existing application of compound extreme value distribution, and can be ... This paper puts forward a Poisson-generalized Pareto (Poisson-GP) distribution. This new form of compound extreme value distribution expands the existing application of compound extreme value distribution, and can be applied to predicting financial risk, large insurance settlement and high-grade earthquake, etc. Compared with the maximum likelihood estimation (MLE) and compound moment estimation (CME), probability-weighted moment estimation (PWME) is used to estimate the parameters of the distribution function. The specific formulas are presented. Through Monte Carlo simulation with sample sizes 10, 20, 50, 100, 1 000, it is concluded that PWME is an efficient method and it behaves steadily. The mean square errors (MSE) of estimators by PWME are much smaller than those of estimators by CME, and there is no significant difference between PWME and MLE. Finally, an example of foreign exchange rate is given. For Dollar/Pound exchange rates from 1990-01-02 to 2006-12-29, this paper formulates the distribution function of the largest loss among the investment losses exceeding a certain threshold by Poisson-GP compound extreme value distribution, and obtains predictive values at different confidence levels. 展开更多
关键词 poisson-generalized Pareto compound extreme value distribution probability-weightedmoment estimation maximum likelihood estimation compound moment estimation
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The Conditional Poisson Process and the Erlang and Negative Binomial Distributions
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作者 Anurag Agarwal Peter Bajorski +2 位作者 David L. Farnsworth James E. Marengo Wei Qian 《Open Journal of Statistics》 2017年第1期16-22,共7页
It is a well known fact that for the hierarchical model of a Poisson random variable Y?whose mean has an Erlang distribution, the unconditional distribution of Y is negative binomial. However, the proofs in the litera... It is a well known fact that for the hierarchical model of a Poisson random variable Y?whose mean has an Erlang distribution, the unconditional distribution of Y is negative binomial. However, the proofs in the literature [1] [2] provide no intuitive understanding as to why this result should be true. It is the purpose of this manuscript to give a new proof of this result which provides such an understanding. The memoryless property of the exponential distribution allows one to conclude that the events in two independent Poisson processes may be regarded as Bernoulli trials, and this fact is used to achieve the research purpose. Another goal of this manuscript is to give another proof of this last fact which does not rely on the memoryless property. 展开更多
关键词 CONDITIONAL distribution Hierarchical Model MIXTURE distribution poisson PROCESS Stochastic PROCESS
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Improved Estimation of Rare Sensitive Attribute in a Stratified Sampling Using Poisson Distribution
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作者 Abdul Wakeel Masood Anwar 《Open Journal of Statistics》 2016年第1期85-95,共11页
In this study, we propose a two stage randomized response model. Improved unbiased estimators of the mean number of persons possessing a rare sensitive attribute under two different situations are proposed. The propos... In this study, we propose a two stage randomized response model. Improved unbiased estimators of the mean number of persons possessing a rare sensitive attribute under two different situations are proposed. The proposed estimators are evaluated using a relative efficiency comparison. It is shown that our estimators are efficient as compared to existing estimators when the parameter of rare unrelated attribute is known and in unknown case, depending on the probability of selecting a question. 展开更多
关键词 poisson distribution Rare Sensitive Attribute Rare Unrelated Attribute Stratified Sampling
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Solving Poisson equation with slowing-down equilibrium distribution for global gyrokinetic simulation
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作者 钟奇 肖湧 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第2期11-19,共9页
Fusion-born alpha particles in burning plasmas are usually regarded as have a slowing-down distribution,which differs significantly from the Maxwellian distribution of thermal particles in velocity space.A generalized... Fusion-born alpha particles in burning plasmas are usually regarded as have a slowing-down distribution,which differs significantly from the Maxwellian distribution of thermal particles in velocity space.A generalized multi-point average method has been developed for gyrokinetic Poisson equation with slowing-down equilibrium distribution using optimization in Fourier space.Its accuracy is verified in both long and short wavelength limits.The influence of changing equilibrium distribution from Maxwellian to slowing-down on gyrokinetic Poisson equation is analyzed to illustrate the significance of the new method.The effect of critical speed in the slowingdown distribution on the field solver is also presented.This method forms an important basis for global gyrokinetic simulation of low-frequency drift Alfvénic turbulence in burning plasmas. 展开更多
关键词 GYROKINETICS poisson solver slowing-down distribution
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