Uniform Limit Theorems for Sums of Independent Random Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821831182
Total Pages : 236 pages
Book Rating : 4.8/5 (311 download)

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Book Synopsis Uniform Limit Theorems for Sums of Independent Random Variables by : Taĭvo Viktorovich Arak

Download or read book Uniform Limit Theorems for Sums of Independent Random Variables written by Taĭvo Viktorovich Arak and published by American Mathematical Soc.. This book was released on 1988 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the diverse constructions studied in modern probability theory, the scheme for summation of independent random variables occupies a special place. This book presents a study of distributions of sums of independent random variables with minimal restrictions imposed on their distributions.

Sums of Independent Random Variables

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Publisher : Springer Science & Business Media
ISBN 13 : 3642658091
Total Pages : 360 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Sums of Independent Random Variables by : V.V. Petrov

Download or read book Sums of Independent Random Variables written by V.V. Petrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Limit Theorems for the Distributions of the Maxima of Partial Sums of Independent Random Variables

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Limit Theorems for the Distributions of the Maxima of Partial Sums of Independent Random Variables by : Ernest G. Kimme

Download or read book Limit Theorems for the Distributions of the Maxima of Partial Sums of Independent Random Variables written by Ernest G. Kimme and published by . This book was released on 1957 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Probability Theory

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Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Advances in Probability Theory by : Aleksandr Alekseevich Borovkov

Download or read book Advances in Probability Theory written by Aleksandr Alekseevich Borovkov and published by . This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Limit Distributions for Sums of Independent Random Vectors

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Publisher : John Wiley & Sons
ISBN 13 : 9780471356295
Total Pages : 514 pages
Book Rating : 4.3/5 (562 download)

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Book Synopsis Limit Distributions for Sums of Independent Random Vectors by : Mark M. Meerschaert

Download or read book Limit Distributions for Sums of Independent Random Vectors written by Mark M. Meerschaert and published by John Wiley & Sons. This book was released on 2001-07-11 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die Quintessenz aus über 100 Originalarbeiten! Ausgehend von den Grundpfeilern der modernen Wahrscheinlichkeitstheorie entwickeln die Autoren dieses in sich geschlossenen, gut verständlich formulierten Bandes die Theorie der unendlich teilbaren Verteilungen und der regulären Variation. Im Anschluss erarbeiten sie die allgemeine Grenzwerttheorie für unabhängige Zufallsvektoren. Dabei achten sie sorgfältig darauf, alle Aspekte in den Kontext der Wahrscheinlichkeitslehre und Statistik zu stellen und bieten dafür eine Fülle von Zusatzinformationen an.

Limit Theorems for Sums of Exchangeable Random Variables

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Publisher : Rowman & Littlefield Publishers
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Limit Theorems for Sums of Exchangeable Random Variables by : Robert Lee Taylor

Download or read book Limit Theorems for Sums of Exchangeable Random Variables written by Robert Lee Taylor and published by Rowman & Littlefield Publishers. This book was released on 1985 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: To find more information about Rowman and Littlefield titles, please visit www.rowmanlittlefield.com.

Limit Theorems of Probability Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662041723
Total Pages : 280 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Limit Theorems of Probability Theory by : Yu.V. Prokhorov

Download or read book Limit Theorems of Probability Theory written by Yu.V. Prokhorov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.

On Uniform Convergence of Families of Sequences of Random Variables

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Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis On Uniform Convergence of Families of Sequences of Random Variables by : Emanuel Parzen

Download or read book On Uniform Convergence of Families of Sequences of Random Variables written by Emanuel Parzen and published by . This book was released on 1953 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Limit Distributions for Sums of Independent Random Variables

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Limit Distributions for Sums of Independent Random Variables by : Boris Vladimirovich Gnedenko

Download or read book Limit Distributions for Sums of Independent Random Variables written by Boris Vladimirovich Gnedenko and published by . This book was released on 1968 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Theory and Mathematical Statistics. Vol. 2

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112319028
Total Pages : 624 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probability Theory and Mathematical Statistics. Vol. 2 by : B. Grigelionis

Download or read book Probability Theory and Mathematical Statistics. Vol. 2 written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "PROB. TH. MATH. ST. ( GRIGELIONIS) VOL. 2 PROC.5/1989 E-BOOK".

Limit Theorems for Associated Random Fields and Related Systems

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Publisher :
ISBN 13 : 9814474576
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Limit Theorems for Associated Random Fields and Related Systems by :

Download or read book Limit Theorems for Associated Random Fields and Related Systems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Theory and Applications

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112314220
Total Pages : 820 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probability Theory and Applications by :

Download or read book Probability Theory and Applications written by and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Applications".

Random Summation

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Publisher : CRC Press
ISBN 13 : 100010267X
Total Pages : 280 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Random Summation by : Boris V. Gnedenko

Download or read book Random Summation written by Boris V. Gnedenko and published by CRC Press. This book was released on 2020-07-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop. Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes. Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.

Modern Theory of Summation of Random Variables

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Publisher : Walter de Gruyter
ISBN 13 : 3110936534
Total Pages : 429 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Modern Theory of Summation of Random Variables by : Vladimir M. Zolotarev

Download or read book Modern Theory of Summation of Random Variables written by Vladimir M. Zolotarev and published by Walter de Gruyter. This book was released on 2011-09-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Probability Theory and Mathematical Statistics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112314085
Total Pages : 752 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probability Theory and Mathematical Statistics by : B. Grigelionis

Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".

Probability Theory and Mathematical Statistics

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Publisher : VSP
ISBN 13 : 9789067643139
Total Pages : 758 pages
Book Rating : 4.6/5 (431 download)

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Book Synopsis Probability Theory and Mathematical Statistics by : Bronius Grigelionis

Download or read book Probability Theory and Mathematical Statistics written by Bronius Grigelionis and published by VSP. This book was released on 1999 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th Vilnius Conference on Probability Theory and Mathematical Statistics was held together with the 22nd European Meeting of Statisticians, 12--18 August 1998. This Proceedings volume contains invited lectures as well as some selected contributed papers. Topics included in the conference are: general inference; time series; statistics and probability in the life sciences; statistics and probability in natural and social science; applied probability; probability.

High Dimensional Probability II

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Publisher : Springer Science & Business Media
ISBN 13 : 1461213584
Total Pages : 491 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis High Dimensional Probability II by : Evarist Giné

Download or read book High Dimensional Probability II written by Evarist Giné and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.