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Author : J. R. Blum
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Central Limit Theorem for the Sum of a Random Number of Independent Random Variables written by J. R. Blum and published by . This book was released on 1963 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.V. Petrov
Publisher : Springer Science & Business Media
ISBN 13 : 3642658091
Total Pages : 360 pages
Book Rating : 4.6/5 (426 download)
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
Author : M. Behara
Publisher : Springer
ISBN 13 : 3540384855
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)
Download or read book Probability and Information Theory II written by M. Behara and published by Springer. This book was released on 2006-11-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark M. Meerschaert
Publisher : John Wiley & Sons
ISBN 13 : 0471356298
Total Pages : 515 pages
Book Rating : 4.4/5 (713 download)
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 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the central limit theory-from foundations to current research This volume provides an introduction to the central limit theory of random vectors, which lies at the heart of probability and statistics. The authors develop the central limit theory in detail, starting with the basic constructions of modern probability theory, then developing the fundamental tools of infinitely divisible distributions and regular variation. They provide a number of extensions and applications to probability and statistics, and take the reader through the fundamentals to the current level of research. In synthesizing results from nearly 200 research papers and presenting them in a self-contained form, authors Meerschaert and Scheffler have produced an accessible reference that treats the central limit theory honestly and focuses on multivariate models. For researchers, it provides an efficient and logical path through a large collection of results with many possible applications to real-world phenomena. Limit Distributions for Sums of Independent Random Vectors includes a coherent introduction to limit distributions and these other features: * A self-contained introduction to the multivariate problem * Multivariate regular variation for linear operators, real-valued functions, and Borel Measures * Multivariate limit theorems: limit distributions, central limit theorems, and related limit theorems * Real-world applications Limit Distributions for Sums of Independent Random Vectors is a comprehensive reference that provides an up-to-date survey of the state of the art in this important research area.
Author : Boris V. Gnedenko
Publisher : CRC Press
ISBN 13 : 100010267X
Total Pages : 280 pages
Book Rating : 4.0/5 (1 download)
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.
Author : Openstax
Publisher :
ISBN 13 : 9788565775120
Total Pages : 914 pages
Book Rating : 4.7/5 (751 download)
Download or read book Introductory Statistics written by Openstax and published by . This book was released on 2022-03-23 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs. Senior Contributing Authors Barbara Illowsky, De Anza College Susan Dean, De Anza College Contributing Authors Daniel Birmajer, Nazareth College Bryan Blount, Kentucky Wesleyan College Sheri Boyd, Rollins College Matthew Einsohn, Prescott College James Helmreich, Marist College Lynette Kenyon, Collin County Community College Sheldon Lee, Viterbo University Jeff Taub, Maine Maritime Academy
Author : Taĭvo Viktorovich Arak
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831182
Total Pages : 236 pages
Book Rating : 4.8/5 (311 download)
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.
Author : B. Szyszkowicz
Publisher : Elsevier
ISBN 13 : 008049952X
Total Pages : 925 pages
Book Rating : 4.0/5 (84 download)
Download or read book Asymptotic Methods in Probability and Statistics written by B. Szyszkowicz and published by Elsevier. This book was released on 1998-10-29 with total page 925 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the aims of the conference on which this book is based, was to provide a platform for the exchange of recent findings and new ideas inspired by the so-called Hungarian construction and other approximate methodologies. This volume of 55 papers is dedicated to Miklós Csörgő a co-founder of the Hungarian construction school by the invited speakers and contributors to ICAMPS'97.This excellent treatize reflects the many developments in this field, while pointing to new directions to be explored. An unequalled contribution to research in probability and statistics.
Author : Yuan Shih Chow
Publisher : Springer Science & Business Media
ISBN 13 : 1461219507
Total Pages : 505 pages
Book Rating : 4.4/5 (612 download)
Download or read book Probability Theory written by Yuan Shih Chow and published by Springer Science & Business Media. This book was released on 2012-11-28 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprising the major theorems of probability theory and the measure theoretical foundations of the subject, the main topics treated here are independence, interchangeability, and martingales. Particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined presentation of measure and probability. It is easily adapted for graduate students familiar with measure theory using the guidelines given. Special features include: - A comprehensive treatment of the law of the iterated logarithm - The Marcinklewicz-Zygmund inequality, its extension to martingales and applications thereof - Development and applications of the second moment analogue of Walds equation - Limit theorems for martingale arrays; the central limit theorem for the interchangeable and martingale cases; moment convergence in the central limit theorem - Complete discussion, including central limit theorem, of the random casting of r balls into n cells - Recent martingale inequalities - Cram r-L vy theorem and factor-closed families of distributions.
Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1001 pages
Book Rating : 4./5 ( download)
Download or read book written by and published by World Scientific. This book was released on with total page 1001 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Univ of California Press
ISBN 13 : 0520367146
Total Pages : 774 pages
Book Rating : 4.5/5 (23 download)
Download or read book PROCEEDINGS OF THE SIXTH BERKELEY SYMPOSIUM ON MATHEMATICAL STATISTICS AND. written by and published by Univ of California Press. This book was released on 2021 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 0081022964
Total Pages : 7278 pages
Book Rating : 4.0/5 (81 download)
Download or read book International Encyclopedia of Human Geography written by and published by Elsevier. This book was released on 2019-11-29 with total page 7278 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Encyclopedia of Human Geography, Second Edition, Fourteen Volume Set embraces diversity by design and captures the ways in which humans share places and view differences based on gender, race, nationality, location and other factors—in other words, the things that make people and places different. Questions of, for example, politics, economics, race relations and migration are introduced and discussed through a geographical lens. This updated edition will assist readers in their research by providing factual information, historical perspectives, theoretical approaches, reviews of literature, and provocative topical discussions that will stimulate creative thinking. Presents the most up-to-date and comprehensive coverage on the topic of human geography Contains extensive scope and depth of coverage Emphasizes how geographers interact with, understand and contribute to problem-solving in the contemporary world Places an emphasis on how geography is relevant in a social and interdisciplinary context
Author : Dmitrii S. Silvestrov
Publisher : Springer Science & Business Media
ISBN 13 : 0857293907
Total Pages : 408 pages
Book Rating : 4.8/5 (572 download)
Download or read book Limit Theorems for Randomly Stopped Stochastic Processes written by Dmitrii S. Silvestrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Its coverage is thorough, streamlined and arranged according to difficulty.
Author : B. Grigelionis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112319028
Total Pages : 624 pages
Book Rating : 4.1/5 (123 download)
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".
Author : Lev Borisovich Klebanov
Publisher : Nova Publishers
ISBN 13 : 9781600212628
Total Pages : 454 pages
Book Rating : 4.2/5 (126 download)
Download or read book Ill-posed Problems in Probability and Stability of Random Sums written by Lev Borisovich Klebanov and published by Nova Publishers. This book was released on 2006 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the problems in probability and statistics. Ill-posed problems are usually understood as those results where small changes in the assumptions lead to arbitrarily large changes in the conclusions. Such results are not very useful for practical applications where the presumptions usually hold only approximately (because even a slightest departure from the assumed model may produce an uncontrollable shift in the outcome). Often, the ill-posedness of certain practical problems is due to the lack of their precise mathematical formulation. Consequently, one can deal with such problems by replacing a given ill-posed problem with another, well-posed problem, which in some sense is 'close' to the original one. The goal in this book is to show that ill-posed problems are not just a mere curiosity in the contemporary theory of mathematical statistics and probability. On the contrary, such problems are quite common, and majority of classical results fall into this class. The objective of this book is to identify problems of this type, and re-formulate them more correctly. Thus, alternative (more precise in the above sense) versions are proposed of numerous classical theorems in the theory of probability and mathematical statistics. In addition, some non-standard problems are considered from this point of view.
Author : Richard W. Middlestead
Publisher : John Wiley & Sons
ISBN 13 : 1119011841
Total Pages : 828 pages
Book Rating : 4.1/5 (19 download)
Download or read book Digital Communications with Emphasis on Data Modems written by Richard W. Middlestead and published by John Wiley & Sons. This book was released on 2017-03-07 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a practical approach in the application of theoretical concepts to digital communications in the design of software defined radio modems. This book discusses the design, implementation and performance verification of waveforms and algorithms appropriate for digital data modulation and demodulation in modern communication systems. Using a building-block approach, the author provides an introductory to the advanced understanding of acquisition and data detection using source and executable simulation code to validate the communication system performance with respect to theory and design specifications. The author focuses on theoretical analysis, algorithm design, firmware and software designs and subsystem and system testing. This book treats system designs with a variety of channel characteristics from very low to optical frequencies. This book offers system analysis and subsystem implementation options for acquisition and data detection appropriate to the channel conditions and system specifications, and provides test methods for demonstrating system performance. This book also: Outlines fundamental system requirements and related analysis that must be established prior to a detailed subsystem design Includes many examples that highlight various analytical solutions and case studies that characterize various system performance measures Discusses various aspects of atmospheric propagation using the spherical 4/3 effective earth radius model Examines Ionospheric propagation and uses the Rayleigh fading channel to evaluate link performance using several robust waveform modulations Contains end-of-chapter problems, allowing the reader to further engage with the text Digital Communications with Emphasis on Data Modems is a great resource for communication-system and digital signal processing engineers and students looking for in-depth theory as well as practical implementations.
Author : Reinhard Viertl
Publisher : EOLSS Publications
ISBN 13 : 1848260520
Total Pages : 410 pages
Book Rating : 4.8/5 (482 download)
Download or read book PROBABILITY AND STATISTICS - Volume I written by Reinhard Viertl and published by EOLSS Publications. This book was released on 2009-06-11 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Statistics theme is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme with contributions from distinguished experts in the field, discusses Probability and Statistics. Probability is a standard mathematical concept to describe stochastic uncertainty. Probability and Statistics can be considered as the two sides of a coin. They consist of methods for modeling uncertainty and measuring real phenomena. Today many important political, health, and economic decisions are based on statistics. This theme is structured in five main topics: Probability and Statistics; Probability Theory; Stochastic Processes and Random Fields; Probabilistic Models and Methods; Foundations of Statistics, which are then expanded into multiple subtopics, each as a chapter. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs
