检索结果-南通市图书馆

Fiducial inference in the pivotal family of distributions

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2006年第3期49卷 410-432页

作者： XU Xingzhong & LI Guoying department of mathematics, Beijing institute of Technology, Beijing 100081,{3. Academy of mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080,{3. 1. department of mathematics Beijing Institute of Technology Beijing 100081 China 2. Academy of mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China

In this paper a family, called the pivotal family, of distributions is considered.A pivotal family is determined by a generalized pivotal model. Analytical results show that a great many parametric families of distributions are pivotal. In a pivotal family of distributions a general method of deriving fiducial distributions of parameters is proposed. In the method a fiducial model plays an important role. A fiducial model is a function of a random variable with a known distribution, called the pivotal random element, when the observation of a statistic is *** method of this paper includes some other methods of deriving fiducial distributions. Specially the first fiducial distribution given by Fisher can be derived by the method. For the monotone likelihood ratio family of distributions, which is a pivotal family, the fiducial distributions have a frequentist property in the Neyman-Pearson view. Fiducial distributions of regular parametric functions also have the above frequentist property. Some advantages of the fiducial inference are exhibited in four applications of the fiducial distribution. Many examples are given, in which the fiducial distributions cannot be derived by the existing methods.

关键词： confidence bounds, fiducial distributions, fiducial model, frequentist prop-erty, generalized pivotal model, pivotal family of distributions, testing hypotheses.

NECESSARY AND SUFFICIENT CONDITION OF THE STRONG CONVERGENCE FOR TWO FINITE FAMILIES OF UNIFORMLY L-LIPSCHITZIAN MAPPINGS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第5期31卷 2058-2066页

作者：谷峰 institute of Applied mathematics and department of mathematics Hangzhou Teacher's College

The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Bana... 详细信息

关键词： asymptotically pseudo-contractive mapping uniformly L-Lipschitzian map- ping parallel iterative algorithm

Oscillation of Solutions of Nonlinear Partial Differential Equations of Neutral Type

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 1997年第4期13卷 563-570页

作者： Yu Yuanhong Liu Bin Liu Zhengrong institute of Applied mathematics, Academia Sinica, Beijing 100080, china {3. of mathematics, hubei Normal College, Huangshi 43.002. china {3. of mathematics, Yunnan University. Kunming 650091. china institute of Applied mathematics of Yunnan Province, Kunming 650091, china 中科院应用数学所北京湖北师范学院湖北黄石云南大学数学系云南昆明

In this paper. we deal with the oscillatory behavior of solutions of the neutral partial differential equation of the form /t[p(t)/t(u(x.t)+sun from i=1 to t pi(t)u(x,t-ti))]+q(x,t)u(x,t)+sun form j=1 to m qj(x,t)f_j(u(x,σ_j(t))) =a(t)△u(x,t)+sun form k=1 to n ak(t)△u(x,pk(t)), (x,t)∈Ω×R_+≡G where △ is the Laplacian in Euclidean N-space R^N, R_+=(0, ∞) and Ω is a bounded domain in R^N with a piecewise smooth boundary Ω.

关键词： Oscillation Neutral type Partial differential equation

The dynamical properties of Rydberg hydrogen atom near a metal surface

在线全文

学校读者我要写书评

暂无评论

Science china(Physics,Mechanics & Astronomy) 2005年第6期48卷 667-675页

作者： GE Meihua1, ZHANG Yanhui1, WANG Dehua2, DU Mengli3.& LIN Shenglu1 1. College of Physics and Electronics, Shandong Normal University, Jinan 250014, china 2. department of mathematics and Physics, Shandong {3. of Architecture and Engineering, Jinan 250014, china 3. {3. of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, china 1. College of Physics and Electronics Shandong Normal University 250014 Jinan China 2. department of mathematics and Physics Shandong Institute of Architecture and Engineering 250014 Jinan China 3. institute of Theoretical Physics Chinese Academy of Sciences 100080 Beijing China

The dynamical properties of Rydberg hydrogen atom near a metal surface are presented by using the methods of phase space analysis and closed orbit theory. Transforming the coordinates of the Hamiltonian, we find that the phase space of the system is divided into vibrational and rotational region. Both the Poincaré surface of section and the closed orbit theory verify the same conclusion clearly. In this paper we choose the atomic principal quantum number as n = 20. The dynamical character of the exited hydrogen atom depends sensitively on the atom-surface distance d. When d is sufficiently large, the atom-surface potential can be expressed by the traditional van der Waals force and the system is integrable. When d becomes smaller, there exists a critical value dc. For d > dc, the system is near-integrable and the motion is regular. While chaotic motion appears for d < dc, and the system tends to be non-integrable. The trajectories become unstable and the electron might be captured onto the metal surface.

关键词： Rydberg hydrogen atom, van der Waals interaction, Poincaré surface of section, closed orbit theory, chaos.

Central limit theorem for the occupation time of catalyticsuper-Brownian motion

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第24期43卷 2035-2040页

作者： HONG Wenming department of mathematics, Beijing Normal University, Beijing 100875, china Corresponding address: {3. of mathematics, Shantou University, Shantou 515063. china department of mathematics Beijing Normal University Beijing China

The catalytic super_Brownian motion has been considered. If both the catalytic medium process Q and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dim... 详细信息

关键词： branching rate functional Brownian collision local time catalytic super_Brownian motion occupation time central limit theorem.

Global asymptotic stability of a two species competitive system with stage structure and harvesting

在线全文

学校读者我要写书评

暂无评论

Communications in Nonlinear Science and Numerical Simulation 2001年第2期6卷 81-87页

作者： Xinyu SONG and Lansun CHEN department of mathematics, Xinyang Teachers College, Henan 464000, china {3. of mathematics, Academy of mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, china department of mathematics Xinyang Teachers College Henan 464000 China institute of mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 China

The dynamics of a two species competitive system, where the species one has two stages, a immature stage and a mature stage with harvesting, and the growth of the species two is of Lotka-Volterra nature, is modelled by a system of retarded functional differential equations. We obtain the conditions for global asymptotic stability of three nonnegative equilibria and the threshold of harvesting mature population. The effect of the delay on the population at equilibrium and the optimal harvesting of mature population are also considered.

关键词： optimal harvesting stage structure competitive system global asymptotic stability.

The Cauchy Integral Operator on Weighted Hardy Space

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2010年第4期31卷 461-472页

作者： Jianmiao RUAN Jiecheng CHEN department of mathematics Zhejiang University Hangzhou 310027 China department of mathematics Zhejiang Education Institute Hangzhou 310012 China

The authors show that the Cauchy integral operator is bounded from Hωp(R1) to hωp(R1) (the weighted local Hardy space). To prove the results, a kind of generalized atoms is introduced and a variant of weighted "Tb t... 详细信息

关键词： Cauchy integral Calder6n-Zygmund operator Weighted Hardy space Weighted local Hardy space

On exactness and unbiasedness of confidence bands for a continuous distribution function

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2010年第10期53卷 2665-2678页

作者： DING XiaoBo1,2,XU XingZhong2 & ZHAO ShuRan3.1institute of Applied mathematics,Academy of mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,{3. 2department of mathematics,Beijing institute of Technology,Beijing 100081,{3. 3.chool of Economics,Ocean University of china,Qingdao 266071,{3. 1. institute of Applied mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China2. Department of Mathematics Beijing Institute of Technology Beijing 100081 China3. School of Economics Ocean University of China Qingdao 266071 China

We define a class of confidence bands for distribution functions,named simple confidence *** class of bands includes the common step bands and continuous bands,some of which may perform better than the smoothed bands not belonging to the class,e.g.,the kernel smoothed *** is shown that under some mild assumptions,the simple bands with exact coverage for continuous distribution functions are all step *** unbiasedness problem of the step bands is also *** is proved that most of two-sided step bands are biased and one-sided step bands are unbiased.

关键词： exact coverage goodness of fit kernel smoothing simple confidence bands unbiasedness

Recovery of the scale-ε2 pattern by lattice BGK model

在线全文

学校读者我要写书评

暂无评论

Communications in Nonlinear Science and Numerical Simulation 2001年第1期6卷 40-44页

作者： Guangwu YAN and Li YUAN (institute of Computational mathematics, Academy of mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080,{3. department of mathematics, Jinn University, Chongchun 13.023.{3.) Inst. of Computational mathematics Acad. of Math. and System Sciences Chinese Academy of Sciences Beijing 100080 China department of mathematics Jilin University Changchun 130023 China

A lattice BGK method for nonlinear chemical reactions is described. Since the equation does not possess the convect terms, we can easily get the equilibrium distribution functions of the lattice BGK models. Using this... 详细信息

关键词： lattice BGK method Turing pattern mosaic structure