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Refined Large Deviation Limit Theorems, Vinogradov, Vladimir


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Автор: Vinogradov, Vladimir
Название:  Refined Large Deviation Limit Theorems
ISBN: 9780367449346
Издательство: Taylor&Francis
Классификация:
ISBN-10: 036744934X
Обложка/Формат: Paperback
Страницы: 224
Вес: 0.41 кг.
Дата издания: 29.11.2019
Серия: Chapman & hall/crc research notes in mathematics series
Язык: English
Размер: 279 x 216
Читательская аудитория: Undergraduate
Основная тема: Probability Theory & Applications
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание: This monograph is mainly devoted to studying the asymptotic behavior of the probabilities of large deviations in the case when the famous Cramer`s condition is not fulfilled. It provides the direct probabilistic method that enables one to construct expansions of increasing accuracy.


Evolution of Biological Systems in Random Media: Limit Theorems and Stability

Автор: Anatoly Swishchuk; Jianhong Wu
Название: Evolution of Biological Systems in Random Media: Limit Theorems and Stability
ISBN: 9048163986 ISBN-13(EAN): 9789048163984
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The authors of this work use a novel strategy that combines record linkage and demographic/statistical analysis to produce an internally consistent and robust set of estimates of the African-American population during the period 1930-1990. They interpret the record that emerges, with special reference to longevity trends and differentials.

Limit Theorems for Stochastic Processes

Автор: Jacod Jean, Shiryaev Albert N.
Название: Limit Theorems for Stochastic Processes
ISBN: 3540439323 ISBN-13(EAN): 9783540439325
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.

Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521738415 ISBN-13(EAN): 9780521738415
Издательство: Cambridge Academ
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Цена: 7762.00 р.
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Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.

Limit Theorems of Probability Theory

Автор: V. Bentkus; Yu.V. Prokhorov; B. Seckler; V. Statul
Название: Limit Theorems of Probability Theory
ISBN: 3642081703 ISBN-13(EAN): 9783642081705
Издательство: Springer
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Цена: 20956.00 р.
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Описание: This book consists of five parts written by different authors devoted to various problems dealing with probability limit theorems. The first part, "Classical-Type Limit Theorems for Sums ofIndependent Random Variables" (V.v. Petrov), presents a number of classical limit theorems for sums of independent random variables as well as newer related results. The presentation dwells on three basic topics: the central limit theorem, laws of large numbers and the law of the iterated logarithm for sequences of real-valued random variables. The second part, "The Accuracy of Gaussian Approximation in Banach Spaces" (V. Bentkus, F. G6tze, V. Paulauskas and A. Rackauskas), reviews various results and methods used to estimate the convergence rate in the central limit theorem and to construct asymptotic expansions in infinite-dimensional spaces. The authors con- fine themselves to independent and identically distributed random variables. They do not strive to be exhaustive or to obtain the most general results; their aim is merely to point out the differences from the finite-dimensional case and to explain certain new phenomena related to the more complex structure of Banach spaces. Also reflected here is the growing tendency in recent years to apply results obtained for Banach spaces to asymptotic problems of statistics.

Limit Theorems for Large Deviations

Автор: L. Saulis; V.A. Statulevicius
Название: Limit Theorems for Large Deviations
ISBN: 0792314751 ISBN-13(EAN): 9780792314752
Издательство: Springer
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Цена: 13275.00 р.
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Описание: "Et moi, ...- si j'avait su comment en revenir. One service mathematics has rendered the je n'y serais poin t aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. H ea viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service. topology has rendered mathematical physics .. .':: 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d 'e1: re of this series.

Limit Theorems on Large Deviations for Markov Stochastic Processes

Автор: A.D. Wentzell
Название: Limit Theorems on Large Deviations for Markov Stochastic Processes
ISBN: 0792301439 ISBN-13(EAN): 9780792301431
Издательство: Springer
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Цена: 10760.00 р.
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Описание: One service mathematics has rendered the 'Et BIOi. .... si j'avait su comment en revenir. human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Math@matics is a tool for thought. A highly necessary tool in a world where both feedback and non- Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Stable Convergence and Stable Limit Theorems

Автор: Hдusler Erich
Название: Stable Convergence and Stable Limit Theorems
ISBN: 3319183281 ISBN-13(EAN): 9783319183282
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept.

Limit Theorems for Stochastic Processes

Название: Limit Theorems for Stochastic Processes
ISBN: 144711051X ISBN-13(EAN): 9781447110514
Издательство: Springer
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Цена: 12157.00 р.
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Описание: This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and technically demanding Russian literature in detail.

Weak Convergence of Stochastic Processes: With Applications to Statistical Limit Theorems

Автор: Vidyadhar S. Mandrekar
Название: Weak Convergence of Stochastic Processes: With Applications to Statistical Limit Theorems
ISBN: 3110475421 ISBN-13(EAN): 9783110475425
Издательство: Walter de Gruyter
Цена: 11148.00 р.
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Описание: The purpose of this book is to present results on the subject of weak convergence in function spaces to study invariance principles in statistical applications to dependent random variables, U-statistics, censor data analysis. Different techniques, formerly available only in a broad range of literature, are for the first time presented here in a self-contained fashion. Contents:Weak convergence of stochastic processesWeak convergence in metric spacesWeak convergence on C[0, 1] and D[0,?)Central limit theorem for semi-martingales and applicationsCentral limit theorems for dependent random variablesEmpirical processBibliography

Limit Theorems for Random Fields with Singular Spectrum

Автор: Nicolai Leonenko
Название: Limit Theorems for Random Fields with Singular Spectrum
ISBN: 9401059470 ISBN-13(EAN): 9789401059473
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book is devoted to an investigation of the basic problems of the the- ory of random fields which are characterized by certain singular properties (e. g., unboundedness, or vanishing) of their spectral densities. These ran- dom fields are called, the random fields with singular spectrum, long-memory fields, random fields with long-range dependence, fields with slowly decaying correlations or strongly dependent random fields by various authors. This phenomenon has been observed empirically by many scientists long before suitable mathematical models were known. The methods and results differ significantly from the theory of weakly dependent random fields. The first chapter presents basic concepts of the spectral theory of random fields, some examples of random processes and fields with singular spectrum, Tauberian and Abelian theorems for the covariance function of singular ran- dom fields. In the second chapter limit theorems for non-linear functionals of random fields with singular spectrum are proved. Chapter 3 summarizes some limit theorems for geometric functionals of random fields with long-range dependence. Limit distributions of the solutions of Burgers equation with random data via parabolic and hyperbolic rescaling are presented in chapter 4. And chapter 5 presents some problems of statistical analysis of random fields with singular spectrum. I would like to thank the editor, Michiel Hazewinkel, for his support. I am grateful to the following students and colleagues: 1. Deriev, A. Olenko, K. Rybasov, L. Sakhno, M. Sharapov, A. Sikorskii, M. Silac-BenSic. I would also like to thank V.Anh, O. Barndorff-Nielsen, Yu. Belyaev, P.

Limit Theorems for Multi-Indexed Sums of Random Variables

Автор: Oleg Klesov
Название: Limit Theorems for Multi-Indexed Sums of Random Variables
ISBN: 3662443872 ISBN-13(EAN): 9783662443873
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes.Limit theorems form the backbone of probability theory and statistical theory alike.

Universal Theory For Strong Limit Theorems Of Probability

Автор: Frolov Andrei N
Название: Universal Theory For Strong Limit Theorems Of Probability
ISBN: 9811212821 ISBN-13(EAN): 9789811212826
Издательство: World Scientific Publishing
Цена: 12672.00 р.
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Описание: This is the first book which the universal approach to strong laws of probability is discussed in. The universal theories are described for three important objects of probability theory: sums of independent random variables, processes with independent increments and renewal processes. Further generalizations are mentioned. Besides strong laws, large deviations are of independent interest. The case of infinite variations is considered as well. Readers can examine appropriate techniques and methods. Optimality of conditions is discussed.


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