Proceedings of the Second Japan-USSR Symposium on Probability Theory PDF Download

Author: G. Maruyama
Publisher: Springer
ISBN: 3540469567
Category : Mathematics
Languages : en
Pages : 556

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Kyoto, Japan, 1972

Author: Albert N. Shiryaev
Publisher: Springer Science & Business Media
ISBN: 3642335497
Category : Mathematics
Languages : en
Pages : 468

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Book Description
The role of Yuri Vasilyevich Prokhorov as a prominent mathematician and leading expert in the theory of probability is well known. Even early in his career he obtained substantial results on the validity of the strong law of large numbers and on the estimates (bounds) of the rates of convergence, some of which are the best possible. His findings on limit theorems in metric spaces and particularly functional limit theorems are of exceptional importance. Y.V. Prokhorov developed an original approach to the proof of functional limit theorems, based on the weak convergence of finite dimensional distributions and the condition of tightness of probability measures. The present volume commemorates the 80th birthday of Yuri Vasilyevich Prokhorov. It includes scientific contributions written by his colleagues, friends and pupils, who would like to express their deep respect and sincerest admiration for him and his scientific work.​

Author: A. Hurd
Publisher: Springer
ISBN: 3540379282
Category : Mathematics
Languages : en
Pages : 361

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Author: Johann Pfanzagl
Publisher: Springer Science & Business Media
ISBN: 1461564794
Category : Mathematics
Languages : en
Pages : 515

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0.1. The aim of the book Our "Contributions to a General Asymptotic Statistical Theory" (Springer Lecture Notes in Statistics, Vol. 13, 1982, called "Vol. I" in the following) suggest to describe the local structure of a general family ~ of probability measures by its tangent space, and the local behavior of a functional K: ~ ~~k by its gradient. Starting from these basic concepts, asymptotic envelope power functions for tests and asymptotic bounds for the concentration of estimators are obtained, and heuristic procedures are suggested for the construction of test- and estimator-sequences attaining these bounds. In the present volume, these asymptotic investigations are carried one step further: From approximations by limit distributions to approximations by Edgeworth expansions, 1 2 adding one term (of order n- / ) to the limit distribution. As in Vol. I, the investigation is "general" in the sense of dealing with arbitrary families of probability measures and arbitrary functionals. The investigation is special in the sense that it is restricted to statistical procedures based on independent, identically distributed observations. 2 Moreover, it is special in the sense that its concern are "regular" models (i.e. families of probability measures and functionals which are subject to certain general conditions, like differentiability). Irregular models are certainly of mathematical interest. Since they are hardly of any practical relevance, it appears justifiable to exclude them at this stage of the investigation.

Author: Mika Hirvensalo
Publisher: Springer Science & Business Media
ISBN: 3662096366
Category : Computers
Languages : en
Pages : 223

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Book Description
Mika Hirvensalo maps out the new multidisciplinary research area of quantum computing. The text contains an introduction to quantum computing as well as the most important recent results on the topic. The presentation is uniform and computer science-oriented. Thus, the book differs from most of the previous ones which are mainly physics-oriented. The special style of presentation makes the theory of quantum computing accessible to a larger audience. Many examples and exercises ease the understanding. In this second edition, a new chapter on quantum information has been added and numerous corrections, amendments, and extensions have been incorporated throughout the entire text.

Author: V.V. Sazonov
Publisher: Springer
ISBN: 3540387781
Category : Mathematics
Languages : en
Pages : 113

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Author: British Library. Document Supply Centre
Publisher:
ISBN:
Category : Congresses and conventions
Languages : en
Pages : 988

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Author: M.L. Silverstein
Publisher: Springer
ISBN: 3540382224
Category : Mathematics
Languages : en
Pages : 329

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Author: Masafumi Akahira
Publisher: World Scientific
ISBN: 9812791221
Category : Mathematics
Languages : en
Pages : 615

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Book Description
Masafumi Akahira and Kei Takeuchi have collaborated in research on mathematical statistics for nearly thirty years and have published many articles and papers. This volume is a collection of their papers, some published in well-known and others in lesser-known journals. The papers cover various fields, but the main subject is the theory of estimation -- asymptotic, non-regular, sequential, etc. All the papers are theoretical in nature, but have implications for applied problems.

Author: Peter H Baxendale
Publisher: World Scientific
ISBN: 9814475424
Category : Mathematics
Languages : en
Pages : 416

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Book Description
This volume consists of 15 articles written by experts in stochastic analysis. The first paper in the volume, Stochastic Evolution Equations by N V Krylov and B L Rozovskii, was originally published in Russian in 1979. After more than a quarter-century, this paper remains a standard reference in the field of stochastic partial differential equations (SPDEs) and continues to attract the attention of mathematicians of all generations. Together with a short but thorough introduction to SPDEs, it presents a number of optimal, and essentially unimprovable, results about solvability for a large class of both linear and non-linear equations.The other papers in this volume were specially written for the occasion of Prof Rozovskii's 60th birthday. They tackle a wide range of topics in the theory and applications of stochastic differential equations, both ordinary and with partial derivatives.