Download or read book Characterizations of Probability Distributions written by Janos Galambos and published by Springer. This book was released on 2006-11-15 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterizations of Univariate Continuous Distributions written by Mohammad Ahsanullah and published by Springer. This book was released on 2017-04-18 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of Probability Distributions" (Springer), together with applications of the theory in model fitting and predictions.
Download or read book Identifiability In Stochastic Models written by Bozzano G Luisa and published by Academic Press. This book was released on 2012-09-18 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of identifiability is basic to all statistical methods and data analysis, occurring in such diverse areas as Reliability Theory, Survival Analysis, and Econometrics, where stochastic modeling is widely used. Mathematics dealing with identifiability per se is closely related to the so-called branch of "characterization problems" in Probability Theory. This book brings together relevant material on identifiability as it occurs in these diverse fields.
Download or read book Characterizations of probability distributions written by János Galambos and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterization of Probability Distributions written by Ramesh Chandra Gupta and published by . This book was released on 2004 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterization of Distributions by the Method of Intensively Monotone Operators written by A.V. Kakosyan and published by Springer. This book was released on 2007-01-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterizations of Probability Distributions written by Janos Galambos and published by . This book was released on 2014-09-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Issue on Characterization of Probability Distributions written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability Characterizations of Some Probability Distributions written by Romanas Yanushkevichius and published by LAP Lambert Academic Publishing. This book was released on 2014-03 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characterization theorems in probability theory and mathematical statistics are such theorems that establish a connection between the type of the distribution of random variables or random vectors and certain general properties of functions in them. For example, the assumption that two linear (or non-linear) statistics are identically distributed (or independent, or have a constancy regression and so on) can be used to characterize various populations. Verification of conditions of this or that characterization theorem in practice is possible only with some error, i.e., only to a certain degree of accuracy. Such a situation is observed, for instance, in the cases where a sample of finite size is considered. That is why there arises the following natural question. Suppose that the conditions of the characterization theorem are fulfilled not exactly but only approximately. May we assert that the conclusion of the theorem is also fulfilled approximately? Questions of this kind give rise to a following problem: determine the degree of realizability of the conclusions of mathematical statements in the case of approximate validity of conditions.
Download or read book Advances in the Theory and Practice of Statistics written by Samuel Kotz and published by John Wiley & Sons. This book was released on 1997-04-11 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: In honor of Samuel Kotz, an international collection of articles on the latest advances in statistics. This tribute to Samuel Kotz features articles by eminent statisticians from around the world, all recognizing the lifetime of accomplishments of one of the premier statisticians of our time. Centered on distributions, models, and their applications, this book highlights some recent developments in both theory and applications of statistics. Editors Norman L. Johnson and N. Balakrishnan, both of whom have collaborated extensively with Samuel Kotz, have gathered contributions from theoreticians and practitioners in 18 countries, giving the volume a global perspective. Each article is classified into one of 10 areas in the theory and practice of statistics. The areas highlighted in this volume are: Statistics in the world. Models. Biostatistics. Testing and estimation. Univariate distributions. Multivariate distributions. Characterizations. Probability. Bayes theory. Descriptive statistics. Many of the articles in the volume highlight Samuel Kotz's pioneering and fundamental contributions to these areas. Commemorative articles by those who knew and worked with Samuel Kotz, as well as the detailed exploration of classical and new directions in statistical research, make this volume an essential addition to any statistics library.
Download or read book Recent Results on Characterization of Probability Distributions a Unified Approach Through Extensions of Deny s Theorem written by University of Pittsburgh. Center for Multivariate Analysis and published by . This book was released on 1984 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of identifying solutions of general convolution equations relative to a group has been studied in two classical papers by Choquet and Deny. Recently, Lau and Rao have considered the analogous problem relative to a certain semigroup of the real line, which extends the results of Marsaglia and Tubilla and a lemma of Shanbhag. The extended versions of Deny's theorem contained in the papers by Lau and Rao, and Shanbhag (which referred to as LRS theorems) yield as special cases improved versions of several characterizations of exponential, Weibull, stable, Pareto, geometric, Poisson and negative binomial distributions obtained by various authors during the last few years. This paper reviews some of the recent contributions to characterization of probability distributions (whose authors do not seem to be aware of LRS theorems or special cases existing earlier) and show how improved versions of these results follow as immediate corollaries to LRS theorems. It also gives a short proof of Lau-Rao theorem based on Deny's theorem and thus establish a direct link between the results of Deny and those of Lau and Rao. A variant of Lau-Rao theorem is proved and applied to some characterization problems.
Download or read book The Normal Distribution written by Wlodzimierz Bryc and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a concise presentation of the normal distribution on the real line and its counterparts on more abstract spaces, which we shall call the Gaussian distributions. The material is selected towards presenting characteristic properties, or characterizations, of the normal distribution. There are many such properties and there are numerous rel evant works in the literature. In this book special attention is given to characterizations generated by the so called Maxwell's Theorem of statistical mechanics, which is stated in the introduction as Theorem 0.0.1. These characterizations are of interest both intrin sically, and as techniques that are worth being aware of. The book may also serve as a good introduction to diverse analytic methods of probability theory. We use characteristic functions, tail estimates, and occasionally dive into complex analysis. In the book we also show how the characteristic properties can be used to prove important results about the Gaussian processes and the abstract Gaussian vectors. For instance, in Section 5.4 we present Fernique's beautiful proofs of the zero-one law and of the integrability of abstract Gaussian vectors. The central limit theorem is obtained via characterizations in Section 7.3.
Download or read book Characterizations of Mixtures of Exponential and Geometric Probability Distributions written by Manal Nassar and published by . This book was released on 1988 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterization of Probability Distributions on Locally Compact Abelian Groups written by Gennadiy Feldman and published by American Mathematical Society. This book was released on 2023-04-07 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical example of a so-called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions of these random variables. The first results in this area are associated with famous 20th century mathematicians such as G. Pólya, M. Kac, S. N. Bernstein, and Yu. V. Linnik. By now, the corresponding theory on the real line has basically been constructed. The problem of extending the classical characterization theorems to various algebraic structures has been actively studied in recent decades. The purpose of this book is to provide a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups.
Download or read book Characterizations of Probability Distributions in Statistical Reference and Allied Topics written by Abdulghani A. Ghonaim Alharbi and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Characterizations of Some Discrete Probability Distributions written by Kumar, Ashish and published by 1976.. This book was released on 1976 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arithmetic of Probability Distributions and Characterization Problems on Abelian Groups written by Gennadiĭ Mikhaĭlovich Felʹdman and published by American Mathematical Soc.. This book was released on 1993 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the problem of the decomposition of a given random variable introduction a sum of independent random variables (components). The central feature of the book is Feldman's use of powerful analytical techniques.
