Characterizations of Probability Distributions.
Title | Characterizations of Probability Distributions. PDF eBook |
Author | Janos Galambos |
Publisher | Springer |
Pages | 177 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540357335 |
Identifiability In Stochastic Models
Title | Identifiability In Stochastic Models PDF eBook |
Author | Bozzano G Luisa |
Publisher | Academic Press |
Pages | 271 |
Release | 2012-09-18 |
Genre | Mathematics |
ISBN | 0128015268 |
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.
Characterization of Probability Distributions
Title | Characterization of Probability Distributions PDF eBook |
Author | Ramesh Chandra Gupta |
Publisher | |
Pages | 597 |
Release | 2004 |
Genre | |
ISBN |
Special Issue on "Characterization of Probability Distributions"
Title | Special Issue on "Characterization of Probability Distributions" PDF eBook |
Author | |
Publisher | |
Pages | |
Release | 2004 |
Genre | |
ISBN |
Characterization of Distributions by the Method of Intensively Monotone Operators
Title | Characterization of Distributions by the Method of Intensively Monotone Operators PDF eBook |
Author | A.V. Kakosyan |
Publisher | Springer |
Pages | 180 |
Release | 2007-01-05 |
Genre | Mathematics |
ISBN | 3540390502 |
Characterizations of Univariate Continuous Distributions
Title | Characterizations of Univariate Continuous Distributions PDF eBook |
Author | Mohammad Ahsanullah |
Publisher | Springer |
Pages | 130 |
Release | 2017-04-18 |
Genre | Mathematics |
ISBN | 9462391394 |
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.
Characterization of Probability Distributions on Locally Compact Abelian Groups
Title | Characterization of Probability Distributions on Locally Compact Abelian Groups PDF eBook |
Author | Gennadiy Feldman |
Publisher | American Mathematical Society |
Pages | 253 |
Release | 2023-04-07 |
Genre | Mathematics |
ISBN | 1470472953 |
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.