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Topics in Infinitely Divisible Distributions and L?vy Processes, Revised Edition, Alfonso Rocha-Arteaga; Ken-iti Sato


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Автор: Alfonso Rocha-Arteaga; Ken-iti Sato
Название:  Topics in Infinitely Divisible Distributions and L?vy Processes, Revised Edition
ISBN: 9783030226992
Издательство: Springer
Классификация:

ISBN-10: 3030226999
Обложка/Формат: Soft cover
Страницы: 135
Вес: 0.23 кг.
Дата издания: 2019
Серия: SpringerBriefs in Probability and Mathematical Statistics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: VIII, 135 p.
Размер: 234 x 156 x 8
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Revised edition
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book deals with topics in the area of L?vy processes and infinitely divisible distributions such as Ornstein-Uhlenbeck type processes, selfsimilar additive processes and multivariate subordination. These topics are developed around a decreasing chain of classes of distributions Lm, m = 0,1,...,?, from the class L0 of selfdecomposable distributions to the class L? generated by stable distributions through convolution and convergence.The book is divided into five chapters. Chapter 1 studies basic properties of Lm classes needed for the subsequent chapters. Chapter 2 introduces Ornstein-Uhlenbeck type processes generated by a L?vy process through stochastic integrals based on L?vy processes. Necessary and sufficient conditions are given for a generating L?vy process so that the OU type process has a limit distribution of Lm class.Chapter 3 establishes the correspondence between selfsimilar additive processes and selfdecomposable distributions and makes a close inspection of the Lamperti transformation, which transforms selfsimilar additive processes and stationary type OU processes to each other. Chapter 4 studies multivariate subordination of a cone-parameter L?vy process by a cone-valued L?vy process. Finally, Chapter 5 studies strictly stable and Lm properties inherited by the subordinated process in multivariate subordination.In this revised edition, new material is included on advances in these topics. It is rewritten as self-contained as possible. Theorems, lemmas, propositions, examples and remarks were reorganized; some were deleted and others were newly added. The historical notes at the end of each chapter were enlarged.This book is addressed to graduate students and researchers in probability and mathematical statistics who are interested in learning more on L?vy processes and infinitely divisible distributions.
Дополнительное описание: Classes Lm and their Characterization.- Classes Lm and Ornstein-Uhlenbeck Type Processes.- Classes Lm and Selfsimilar Additive Processes.- Multivariate Subordination.- Inheritance of Selfdecomposability in Subordination.



L?vy Processes and Infinitely Divisible Distributions

Автор: Sato
Название: L?vy Processes and Infinitely Divisible Distributions
ISBN: 1107656494 ISBN-13(EAN): 9781107656499
Издательство: Cambridge Academ
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Описание: This successful text provides a comprehensive basic knowledge of Levy processes and serves as an introduction to stochastic processes in general. Now in paperback, this corrected edition contains a brand new supplement discussing relevant developments in the area since the book`s initial publication.

On Stein`s Method for Infinitely Divisible Laws with Finite First Moment

Автор: Benjamin Arras; Christian Houdr?
Название: On Stein`s Method for Infinitely Divisible Laws with Finite First Moment
ISBN: 303015016X ISBN-13(EAN): 9783030150167
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment. Two methods are presented and developed to obtain such quantitative results. At the root of these methods stands a Stein characterizing identity discussed in the third chapter and obtained thanks to a covariance representation of infinitely divisible distributions. The first method is based on characteristic functions and Stein type identities when the involved sequence of random variables is itself infinitely divisible with finite first moment. In particular, based on this technique, quantitative versions of compound Poisson approximation of infinitely divisible distributions are presented. The second method is a general Stein's method approach for univariate selfdecomposable laws with finite first moment. Chapter 6 is concerned with applications and provides general upper bounds to quantify the rate of convergence in classical weak limit theorems for sums of independent random variables. This book is aimed at graduate students and researchers working in probability theory and mathematical statistics.

Infinitely Divisible Statistical Experiments

Автор: Arnold Janssen; Hartmut Milbrodt; Helmut Strasser
Название: Infinitely Divisible Statistical Experiments
ISBN: 0387960554 ISBN-13(EAN): 9780387960555
Издательство: Springer
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Описание: This book is intended to give an account of the theory of infi- nitely divisible statistical experiments which started from LeCam, 1974. It includes a presentation of LeCam's basic results as well as new developments in the field. The book consists of four chapters written by different authors. Chapters I, III and IV have been prepared in Bayreuth with the support of the Deutsche Forschungsgemeinschaft (DFG); Chapter II is part of its author's Habilitationsschrift, 1982 (Dortmund). For the reader's convenience, the chapters have been unified in presentation, without neglecting differences in the individual styles of writing. The authors are grateful to Dr. C. Becker for carefully reviewing the manuscript. Furthermore, acknowledgements are gratefully extended to the DFG for partly subsidizing Dr. Becker and the second author by a grant. Some special words of thanks are due to Mrs. Witzigmann, who typed the final manuscript and its predecessors with patience and skill. Universitat Bayreuth und A. Janssen Universitat Dortmund, H. Milbrodt Dezember 1984 H. Strasser CONTENTS Preface Introduction L its of Triangular Arrays of 14 I. EXEeriments (H. Milbrodt and H. Strasser) 1. Basic Concepts 14 19 2. Gaussian Exper ents 3. Introduction to Poisson Experiments 25 4. Convergence of Poisson Experiments 32 5. Convergence of Triangular Arrays 38 6. Identification of Limit Experiments 47 The Levy-Khintchine Formula for Infinitely 55 II.

Equilibrium Distributions of Branching Processes

Автор: A. Liemant; K. Matthes; A. Wakolbinger
Название: Equilibrium Distributions of Branching Processes
ISBN: 9027727740 ISBN-13(EAN): 9789027727749
Издательство: Springer
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Conditionally Specified Distributions

Автор: Barry C. Arnold; Enrique Castillo; Jose-Maria Sara
Название: Conditionally Specified Distributions
ISBN: 0387977945 ISBN-13(EAN): 9780387977942
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The concept of conditional specification is not new. Arnold Riverside, California USA Enrique Castillo Jose Maria Sarabia Santander, Cantabria Spain January, 1991 Contents 1 Conditional Specification 1 1.1 Why? . 2 1.3 Early work on conditional specification 4 1.4 Organization of this monograph . . . . . . . . . . . . . . . . . . . . . . . . . . .

Lundberg Approximations for Compound Distributions with Insurance Applications

Автор: Gordon E. Willmot; X. Sheldon Lin
Название: Lundberg Approximations for Compound Distributions with Insurance Applications
ISBN: 0387951350 ISBN-13(EAN): 9780387951355
Издательство: Springer
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Цена: 12577.00 р.
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Описание: These notes represent our summary of much of the recent research that has been done in recent years on approximations and bounds that have been developed for compound distributions and related quantities which are of interest in insurance and other areas of application in applied probability.

Comparing Distributions

Автор: Olivier Thas
Название: Comparing Distributions
ISBN: 1461424496 ISBN-13(EAN): 9781461424499
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This volume provides a theoretical treatment of a wide range of goodness-of-fit statistical methods. By comparing techniques for both one-sample and k-sample problems, the text offers a wider perspective that considers graphic and estimation parameters, and emphasizes their theoretical similarities.

Handbook of Tables for Order Statistics from Lognormal Distributions with Applications

Автор: N. Balakrishnan; W.S. Chen
Название: Handbook of Tables for Order Statistics from Lognormal Distributions with Applications
ISBN: 0792356349 ISBN-13(EAN): 9780792356349
Издательство: Springer
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Цена: 38992.00 р.
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Описание: Presents elaborate tables of moments of order statistics as well as BLUES based on complete and censored samples for lognormal distributions. This title includes various illustrative examples for the different uses of these tables pertaining to inference and prediction.

Modeling Income Distributions and Lorenz Curves

Автор: Duangkamon Chotikapanich
Название: Modeling Income Distributions and Lorenz Curves
ISBN: 1441924930 ISBN-13(EAN): 9781441924933
Издательство: Springer
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Цена: 29209.00 р.
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Описание: The parameterization of income distributions using Lorenz Curves is a useful technique to analyze the characteristics of income inequality within a given population. This book brings together classic papers in the field including cutting-edge contributions.

An Introduction to Heavy-Tailed and Subexponential Distributions

Автор: Sergey Foss; Dmitry Korshunov; Stan Zachary
Название: An Introduction to Heavy-Tailed and Subexponential Distributions
ISBN: 1461471001 ISBN-13(EAN): 9781461471004
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems.

Sample Path Analysis and Distributions of Boundary Crossing Times

Автор: Shelemyahu Zacks
Название: Sample Path Analysis and Distributions of Boundary Crossing Times
ISBN: 3319670581 ISBN-13(EAN): 9783319670584
Издательство: Springer
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Цена: 4890.00 р.
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Описание: This monograph is focused on the derivations of exact distributions of first boundary crossing times of Poisson processes, compound Poisson processes, and more general renewal processes.

Continuous Bivariate Distributions

Автор: N. Balakrishnan; Chin Diew Lai
Название: Continuous Bivariate Distributions
ISBN: 1441918752 ISBN-13(EAN): 9781441918758
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Along with a review of general developments relating to bivariate distributions, this volume also covers copulas, a subject which has grown immensely in recent years. In addition, it examines conditionally specified distributions and skewed distributions.


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