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Author : Robert H. Byers
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (256 download)
Download or read book Some Approximations to Probability Distribution Using Moments written by Robert H. Byers and published by . This book was released on 1974 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew N O'Connor
Publisher : RIAC
ISBN 13 : 1933904062
Total Pages : 220 pages
Book Rating : 4.9/5 (339 download)
Download or read book Probability Distributions Used in Reliability Engineering written by Andrew N O'Connor and published by RIAC. This book was released on 2011 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.
Author : George Anastassiou
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)
Download or read book Moments in Probability and Approximation Theory written by George Anastassiou and published by Chapman and Hall/CRC. This book was released on 1993-04-19 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique volume covering the author's research over the last decade in this exciting area.
Author : M. Csörgo
Publisher : Academic Press
ISBN 13 : 1483268047
Total Pages : 287 pages
Book Rating : 4.4/5 (832 download)
Download or read book Strong Approximations in Probability and Statistics written by M. Csörgo and published by Academic Press. This book was released on 2014-07-10 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to study weak and strong convergence properties of random size partial sum and empirical processes. This book will prove useful to mathematicians and advance mathematics students.
Author : Vydas Čekanavičius
Publisher : Springer
ISBN 13 : 3319340727
Total Pages : 283 pages
Book Rating : 4.3/5 (193 download)
Download or read book Approximation Methods in Probability Theory written by Vydas Čekanavičius and published by Springer. This book was released on 2016-06-16 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems. While Approximation Methods in Probability Theory will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful.
Author : Richard L. Scheaffer
Publisher : Brooks/Cole
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to Probability written by Richard L. Scheaffer and published by Brooks/Cole. This book was released on 1975 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models of reality; Probability; Discrete random variables and their probability distributions; Continuous random variables and their probability distributions; Multivariate probability distributions; Functions of random variables; Some approximations to probability distributions: limit theorems; Statitical applications.
Author : David Stirzaker
Publisher : Cambridge University Press
ISBN 13 : 9780521644457
Total Pages : 388 pages
Book Rating : 4.6/5 (444 download)
Download or read book Probability and Random Variables written by David Stirzaker and published by Cambridge University Press. This book was released on 1999-09-02 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise introduction to probability theory is written in an informal tutorial style with concepts and techniques defined and developed as necessary. Examples, demonstrations, and exercises are used to explore ways in which probability is motivated by, and applied to, real life problems in science, medicine, gaming and other subjects of interest. It assumes minimal prior technical knowledge and is suitable for students taking introductory courses, those needing a working knowledge of probability theory and anyone interested in this endlessly fascinating and entertaining subject.
Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Viktor Benes
Publisher : Springer
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)
Download or read book Distributions with Given Marginals and Moment Problems written by Viktor Benes and published by Springer. This book was released on 1997-05-31 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the 1996 Prague Conference on ̀Distributions with Given Marginals and Moment Problems'. It provides researchers with difficult theoretical problems that have direct consequences for applications outside mathematics. Contributions centre around the following two main themes. Firstly, an attempt is made to construct a probability distribution, or at least prove its existence, with a given support and with some additional inner stochastic property defined typically either by moments or by marginal distributions. Secondly, the geometrical and topological structures of the set of probability distributions generated by such a property are studied, mostly with the aim to propose a procedure that would result in a stochastic model with some optimal properties within the set of probability distributions. Topics that are dealt with include moment problems and their applications, marginal problems and stochastic order, copulas, measure theoretic approach, applications in stochastic programming and artificial intelligence, and optimization in marginal problems. Audience: This book will be of interest to probability theorists and statisticians.
Author : Richard J. Larsen
Publisher : Pearson Higher Ed
ISBN 13 : 1292036729
Total Pages : 741 pages
Book Rating : 4.2/5 (92 download)
Download or read book Introduction to Mathematical Statistics and Its Applications written by Richard J. Larsen and published by Pearson Higher Ed. This book was released on 2013-08-28 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noted for its integration of real-world data and case studies, this text offers sound coverage of the theoretical aspects of mathematical statistics. The authors demonstrate how and when to use statistical methods, while reinforcing the calculus that students have mastered in previous courses. Throughout the 5th Edition, the authors have added and updated examples and case studies, while also refining existing features that show a clear path from theory to practice. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
Author : John E. Kolassa
Publisher : Springer Science & Business Media
ISBN 13 : 1475742770
Total Pages : 194 pages
Book Rating : 4.4/5 (757 download)
Download or read book Series Approximation Methods in Statistics written by John E. Kolassa and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was originally compiled for a course I taught at the University of Rochester in the fall of 1991, and is intended to give advanced graduate students in statistics an introduction to Edgeworth and saddlepoint approximations, and related techniques. Many other authors have also written monographs on this sub ject, and so this work is narrowly focused on two areas not recently discussed in theoretical text books. These areas are, first, a rigorous consideration of Edgeworth and saddlepoint expansion limit theorems, and second, a survey of the more recent developments in the field. In presenting expansion limit theorems I have drawn heavily on notation of McCullagh (1987) and on the theorems presented by Feller (1971) on Edgeworth expansions. For saddlepoint notation and results I relied most heavily on the many papers of Daniels, and a review paper by Reid (1988). Throughout this book I have tried to maintain consistent notation and to present theorems in such a way as to make a few theoretical results useful in as many contexts aS possible. This was not only in order to present as many results with as few proofs as possible, but more importantly to show the interconnections between the various facets of asymptotic theory. Special attention is paid to regularity conditions. The reasons they are needed and the parts they play in the proofs are both highlighted.
Author : Rudy Alan Gideon
Publisher :
ISBN 13 :
Total Pages : 684 pages
Book Rating : 4.:/5 (89 download)
Download or read book Some Methods of Approximation Distribution Functions written by Rudy Alan Gideon and published by . This book was released on 1970 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian L. Joiner
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
Author : Rinaldo Bruno Schinazi
Publisher : Springer Science & Business Media
ISBN 13 : 9780817642471
Total Pages : 246 pages
Book Rating : 4.6/5 (424 download)
Download or read book Probability with Statistical Applications written by Rinaldo Bruno Schinazi and published by Springer Science & Business Media. This book was released on 2001 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text is intended for a one-semester course, and offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Only basiccalculus is required. However, the book is written so that the calculus difficulties of students do not obscure the probability content in the first six chapters. Thus, the exposition initially focuses on fundamental probability concepts and an easy introduction to statistics. Theory is kept to a minimum here, the striking feature being numerous exercises and examples. Chapters 7 and 8 rely heavily on the calculus of one and several variables to study sums of random variables (via moment generating functions), transformations of random variables (using distribution functions) and transformations of random vectors. In Chapter 8 a number of facts are proved with respect to expectation, variance and covariance, and normal samples. In recent years there has been an increasing need for teaching some statistics in an introductory probability course. Many undergraduate programs in biology, computer science, engineering, physics and mathematics have traditionally required such a cour
Author : Rinaldo B. Schinazi
Publisher : Springer Science & Business Media
ISBN 13 : 081768249X
Total Pages : 349 pages
Book Rating : 4.8/5 (176 download)
Download or read book Probability with Statistical Applications written by Rinaldo B. Schinazi and published by Springer Science & Business Media. This book was released on 2011-12-15 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition textbook offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Calculus is a prerequisite for understanding the basic concepts, however the book is written with a sensitivity to students’ common difficulties with calculus that does not obscure the thorough treatment of the probability content. The first six chapters of this text neatly and concisely cover the material traditionally required by most undergraduate programs for a first course in probability. The comprehensive text includes a multitude of new examples and exercises, and careful revisions throughout. Particular attention is given to the expansion of the last three chapters of the book with the addition of one entirely new chapter (9) on ’Finding and Comparing Estimators.’ The classroom-tested material presented in this second edition forms the basis for a second course introducing mathematical statistics.
Author : Henry J. Landau
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801147
Total Pages : 170 pages
Book Rating : 4.8/5 (11 download)
Download or read book Moments in Mathematics written by Henry J. Landau and published by American Mathematical Soc.. This book was released on 1987 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function theory, spectral decomposition of operators, probability, approximation, electrical and mechanical inverse problems, prediction of stochastic processes, the design of algorithms for signal-processing VLSI chips--these are among a host of important theoretical and applied topics illuminated by the classical moment problem. To survey some of these ramifications and the research which derives from them, the AMS sponsored the Short Course Moments in Mathematics at the Joint Mathematics Meetings, held in San Antonio, Texas, in January 1987. This volume contains the six lectures presented during that course. The papers are likely to find a wide audience, for they are expository, but nevertheless lead the reader to topics of current research. In his paper, Henry J. Landau sketches the main ideas of past work related to the moment problem by such mathematicians as Caratheodory, Herglotz, Schur, Riesz, and Krein and describes the way the moment problem has interconnected so many diverse areas of research. J. H. B. Kemperman examines the moment problem from a geometric viewpoint which involves a certain natural duality method and leads to interesting applications in linear programming, measure theory, and dilations. Donald Sarason first provides a brief review of the theory of unbounded self-adjoint operators then goes on to sketch the operator-theoretic treatment of the Hamburger problem and to discuss Hankel operators, the Adamjan-Arov-Krein approach, and the theory of unitary dilations. Exploring the interplay of trigonometric moment problems and signal processing, Thomas Kailath describes the role of Szego polynomials in linear predictive coding methods, parallel implementation, one-dimensional inverse scattering problems, and the Toeplitz moment matrices. Christian Berg contrasts the multi-dimensional moment problem with the one-dimensional theory and shows how the theory of the moment problem may be viewed as part of harmonic analysis on semigroups. Starting from a historical survey of the use of moments in probability and statistics, Persi Diaconis illustrates the continuing vitality of these methods in a variety of recent novel problems drawn from such areas as Wiener-Ito integrals, random graphs and matrices, Gibbs ensembles, cumulants and self-similar processes, projections of high-dimensional data, and empirical estimation.
Author : Markus Sommereder
Publisher : BoD – Books on Demand
ISBN 13 : 3842348436
Total Pages : 290 pages
Book Rating : 4.8/5 (423 download)
Download or read book Modelling of Queueing Systems with Markov Chains written by Markus Sommereder and published by BoD – Books on Demand. This book was released on 2011 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
