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Sums of Independent Random Variables, A.A. Brown; V.V. Petrov


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Автор: A.A. Brown; V.V. Petrov
Название:  Sums of Independent Random Variables
ISBN: 9783642658112
Издательство: Springer
Классификация: ISBN-10: 3642658113
Обложка/Формат: Paperback
Страницы: 348
Вес: 0.51 кг.
Дата издания: 22.10.2011
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Язык: English
Размер: 234 x 156 x 19
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The classic Limit Dislribntions fOT slt1ns of Independent Ramdorn Vari- ables by B. V. Gnedenko and A. N. Kolmogorov was published in 1949. Since then the theory of summation of independent variables has devel- oped rapidly. Today a summing-up of the studies in this area, and their results, would require many volumes. The monograph by I. A. Ibragi- mov and Yu. V. I innik, Independent and Stationarily Connected VaTiables, which appeared in 1965, contains an exposition of the contem- porary state of the theory of the summation of independent identically distributed random variables. The present book borders on that of Ibragimov and Linnik, sharing only a few common areas. Its main focus is on sums of independent but not necessarily identically distri- buted random variables. It nevertheless includes a number of the most recent results relating to sums of independent and identically distributed variables. Together with limit theorems, it presents many probahilistic inequalities for sums of an arbitrary number of independent variables. The last two chapters deal with the laws of large numbers and the law of the iterated logarithm. These questions were not treated in Ibragimov and Linnik; Gnedenko and KolmogoTOv deals only with theorems on the weak law of large numbers. Thus this book may be taken as complementary to the book by Ibragimov and Linnik. I do not, however, assume that the reader is familiar with the latter, nor with the monograph by Gnedenko and Kolmogorov, which has long since become a bibliographical rarity.


Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

Автор: V.V. Buldygin; Serguei Solntsev
Название: Asymptotic Behaviour of Linearly Transformed Sums of Random Variables
ISBN: 0792346327 ISBN-13(EAN): 9780792346326
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Deals with the almost sure asymptotic behaviour of linearly transformed sequences of independent random variables, vectors and elements of topological vector spaces. This book is intended for experts in probability theory and theory of random processes.

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.

Asymptotic Behaviour of Linearly Transformed Sums of Random Variables

Автор: V.V. Buldygin; Serguei Solntsev
Название: Asymptotic Behaviour of Linearly Transformed Sums of Random Variables
ISBN: 940106346X ISBN-13(EAN): 9789401063463
Издательство: Springer
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Цена: 13974.00 р.
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Independent Variables for Optical Surfacing Systems

Автор: Haobo Cheng
Название: Independent Variables for Optical Surfacing Systems
ISBN: 3642453546 ISBN-13(EAN): 9783642453540
Издательство: Springer
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Цена: 16979.00 р.
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Описание: This exhaustive volume on the principles and applications of optical surfacing systems introduces all the basic principles and common systems, analyzes the pivotal variables affecting surface quality, and examines a range of systems using new technologies.

Independent Variables for Optical Surfacing Systems

Автор: Haobo Cheng
Название: Independent Variables for Optical Surfacing Systems
ISBN: 3662524848 ISBN-13(EAN): 9783662524848
Издательство: Springer
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Цена: 14365.00 р.
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Описание: This exhaustive volume on the principles and applications of optical surfacing systems introduces all the basic principles and common systems, analyzes the pivotal variables affecting surface quality, and examines a range of systems using new technologies.

Quantum Continuous Variables: A Primer of Theoretical Methods

Автор: Alessio Serafini
Название: Quantum Continuous Variables: A Primer of Theoretical Methods
ISBN: 1482246341 ISBN-13(EAN): 9781482246346
Издательство: Taylor&Francis
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Цена: 19906.00 р.
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Описание: Quantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This new book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions. The volume includes coverage of entanglement theory and quantum information protocols, and their connection with relevant experimental set-ups. General techniques for non-Gaussian manipulations also emerge as the treatment unfolds, and are demonstrated with specific case studies. This book will be of interest to graduate students looking to familiarise themselves with the field, in addition to experienced researchers eager to enhance their understanding of its theoretical methods. It will also appeal to experimentalists searching for a rigorous but accessible treatment of the theory in the area.

Probability Distributions Involving Gaussian Random Variables / A Handbook for Engineers and Scientists

Автор: Simon Marvin K., Riedel Eibe
Название: Probability Distributions Involving Gaussian Random Variables / A Handbook for Engineers and Scientists
ISBN: 0387346570 ISBN-13(EAN): 9780387346571
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This handbook brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians.

Schaum`s outline of complex variables

Автор: Spiegel, Murray R. Lipschutz, Seymour Schiller, Jo
Название: Schaum`s outline of complex variables
ISBN: 0071615695 ISBN-13(EAN): 9780071615693
Издательство: McGraw-Hill
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Цена: 5489.00 р.
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Описание: The guide to complex variables that helps students study faster, learn better, and get top grades

Are Policy Variables Exogenous?

Автор: Balazs Horvath
Название: Are Policy Variables Exogenous?
ISBN: 3540542876 ISBN-13(EAN): 9783540542872
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This literature shows that learning is a possible mechanism to acquire the necessary level of information that agents are assumed to possess in a rational expectations equilibrium and hence there is a clear link between rational expectations theory and the 2 theory of learning.

Convex and Starlike Mappings in Several Complex Variables

Автор: Sheng Gong
Название: Convex and Starlike Mappings in Several Complex Variables
ISBN: 0792349644 ISBN-13(EAN): 9780792349648
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This interesting book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underly- ing theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. Because the author's introduction provides an excellent overview of the content of the book, I will not duplicate the effort here. Rather, I will place the book into historical context. The theory of univalent functions long has been an important part of the study of holomorphic functions of one complex variable. The roots of the subject go back to the famous Riemann Mapping Theorem which asserts that a simply connected region n which is a proper subset of the complex plane C is biholomorphically equivalent to the open unit disk . That is, there is a univalent function (holo- morphic bijection) I: -+ n. In the early part of this century work began to focus on the class S of normalized (f (0) = 0 and I' (0) = 1) univalent functions defined on the unit disk. The restriction to uni- valent functions defined on the unit disk is justified by the Riemann Mapping Theorem. The subject contains many beautiful results that were obtained by fundamental techniques developed by many mathe- maticians, including Koebe, Bieberbach, Loewner, Goluzin, Grunsky, and Schiffer. The best-known aspect of univalent function theory is the so-called Bieberbach conjecture which was proved by de Branges in 1984.

Syntactic Variables

Автор: C. Georgopoulos
Название: Syntactic Variables
ISBN: 0792312937 ISBN-13(EAN): 9780792312932
Издательство: Springer
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Цена: 23751.00 р.
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Описание: This book represents the culmination of an extended period of field work on the Palauan language, carried out while I was a graduate student at the University of California at San Diego.

Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables

Автор: A. Majda
Название: Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
ISBN: 0387960376 ISBN-13(EAN): 9780387960371
Издательство: Springer
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Цена: 15672.00 р.
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Описание: Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""`~ with u = (ul` ...


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