Characterizations of Probability Distributions.

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Publisher : Springer
ISBN 13 : 3540357335
Total Pages : 177 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Characterizations of Probability Distributions. by : Janos Galambos

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:

Characterization of Probability Distributions on Locally Compact Abelian Groups

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470472953
Total Pages : 253 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Characterization of Probability Distributions on Locally Compact Abelian Groups by : Gennadiy Feldman

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.

Univariate Discrete Distributions

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Publisher : John Wiley & Sons
ISBN 13 : 0471272469
Total Pages : 690 pages
Book Rating : 4.4/5 (712 download)

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Book Synopsis Univariate Discrete Distributions by : Norman L. Johnson

Download or read book Univariate Discrete Distributions written by Norman L. Johnson and published by John Wiley & Sons. This book was released on 2005-08-30 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Set Contains: Continuous Multivariate Distributions, Volume 1, Models and Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 1, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 2, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discrete Multivariate Distributions by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Univariate Discrete Distributions, 3rd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discover the latest advances in discrete distributions theory The Third Edition of the critically acclaimed Univariate Discrete Distributions provides a self-contained, systematic treatment of the theory, derivation, and application of probability distributions for count data. Generalized zeta-function and q-series distributions have been added and are covered in detail. New families of distributions, including Lagrangian-type distributions, are integrated into this thoroughly revised and updated text. Additional applications of univariate discrete distributions are explored to demonstrate the flexibility of this powerful method. A thorough survey of recent statistical literature draws attention to many new distributions and results for the classical distributions. Approximately 450 new references along with several new sections are introduced to reflect the current literature and knowledge of discrete distributions. Beginning with mathematical, probability, and statistical fundamentals, the authors provide clear coverage of the key topics in the field, including: Families of discrete distributions Binomial distribution Poisson distribution Negative binomial distribution Hypergeometric distributions Logarithmic and Lagrangian distributions Mixture distributions Stopped-sum distributions Matching, occupancy, runs, and q-series distributions Parametric regression models and miscellanea Emphasis continues to be placed on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions. New derivations of discrete distributions via stochastic processes and random walks are introduced without unnecessarily complex discussions of stochastic processes. Throughout the Third Edition, extensive information has been added to reflect the new role of computer-based applications. With its thorough coverage and balanced presentation of theory and application, this is an excellent and essential reference for statisticians and mathematicians.

Characterizations of Univariate Continuous Distributions

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Publisher : Springer
ISBN 13 : 9462391394
Total Pages : 130 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Characterizations of Univariate Continuous Distributions by : Mohammad Ahsanullah

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 130 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.

Introductory Statistics 2e

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Publisher :
ISBN 13 :
Total Pages : 2106 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introductory Statistics 2e by : Barbara Illowsky

Download or read book Introductory Statistics 2e written by Barbara Illowsky and published by . This book was released on 2023-12-13 with total page 2106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.

Arithmetic of Probability Distributions, and Characterization Problems on Abelian Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821897447
Total Pages : 236 pages
Book Rating : 4.8/5 (974 download)

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Book Synopsis Arithmetic of Probability Distributions, and Characterization Problems on Abelian Groups by : Gennadij M. Fel'dman

Download or read book Arithmetic of Probability Distributions, and Characterization Problems on Abelian Groups written by Gennadij M. Fel'dman and published by American Mathematical Soc.. This book was released on 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.

The Normal Distribution

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Publisher : Springer Science & Business Media
ISBN 13 : 1461225604
Total Pages : 142 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Normal Distribution by : Wlodzimierz Bryc

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.

Arithmetic of Probability Distributions, and Characterization Problems on Abelian Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821845936
Total Pages : 236 pages
Book Rating : 4.8/5 (459 download)

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Book Synopsis Arithmetic of Probability Distributions, and Characterization Problems on Abelian Groups by : Gennadiĭ Mikhaĭlovich Felʹdman

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.

A Modern Course on Statistical Distributions in Scientific Work

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Publisher : Springer Science & Business Media
ISBN 13 : 9401018456
Total Pages : 410 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis A Modern Course on Statistical Distributions in Scientific Work by : Ganapati P. Patil

Download or read book A Modern Course on Statistical Distributions in Scientific Work written by Ganapati P. Patil and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: These three volumes constitute the edited Proceedings of the NATO Advanced Study Institute on Statistical Distributions in Scientific Work held at the University of Calgary from July 29 to August 10, 1974. The general title of the volumes is "Statistical Distributions in Scientific Work". The individual volumes are: Volume 1 - Models and Structures; Volume 2 - Model Building and Model Selection; and Volume 3 - Characterizations and Applications. These correspond to the three advanced seminars of the Institute devoted to the respective subject areas. The planned activities of the Institute consisted of main lectures and expositions, seminar lectures and study group dis cussions, tutorials and individual study. The activities included meetings of editorial committees to discuss editorial matters for these proceedings which consist of contributions that have gone through the usual refereeing process. A special session was organized to consider the potential of introducing a course on statistical distributions in scientific modeling in the curriculum of statistics and quantitative studies. This session is reported in Volume 2. The overall perspective for the Institute is provided by the Institute Director, Professor G. P. Patil, in his inaugural address which appears in Volume 1. The Linnik Memorial Inaugural Lecture given by Professor C. R. Rao for the Characterizations Seminar is included in Volume 3.

Bivariate Discrete Distributions

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Publisher : CRC Press
ISBN 13 : 1351463462
Total Pages : 384 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Bivariate Discrete Distributions by : Kocherlakota

Download or read book Bivariate Discrete Distributions written by Kocherlakota and published by CRC Press. This book was released on 2017-11-22 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This useful reference/text provides a comprehensive study of the various bivariate discretedistributions that have appeared in the literature- written in an accessible manner thatassumes no more than a first course in mathematical statistics.Supplying individualized treatment of topics while simultaneously exploiting the interrelationshipsof the material, Bivariate Discrete Distributions details the latest techniques ofcomputer simulation for the distributions considered ... contains a general introduction tothe structural properties of discrete distributions, including generating functions, momentrelationships, and the basic ideas of generalizing . . . develops distributions using samplingschemes . .. explores the role of compounding ... covers Waring and "short" distributionsfor use in accident theory ... discusses problems of statistical inference, emphasizing techniquespertinent to the discrete case ... and much more!Containing over 1000 helpful equations, Bivariate Discrete Distributions is

Risk Characterization of Microbiological Hazards in Food

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Publisher : World Health Organization
ISBN 13 : 9241547898
Total Pages : 136 pages
Book Rating : 4.2/5 (415 download)

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Book Synopsis Risk Characterization of Microbiological Hazards in Food by : World Health Organization

Download or read book Risk Characterization of Microbiological Hazards in Food written by World Health Organization and published by World Health Organization. This book was released on 2009 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is in the risk characterization step that the results of the risk assessment are presented.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1852 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inequality, Polarization and Conflict

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Publisher : Springer
ISBN 13 : 8132221664
Total Pages : 144 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Inequality, Polarization and Conflict by : Satya R. Chakravarty

Download or read book Inequality, Polarization and Conflict written by Satya R. Chakravarty and published by Springer. This book was released on 2015-03-12 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph initially offers a systematic treatment of the theory and methodology of alternative notions of income polarization and related issues. It then goes on to analyze social polarization, ordinal polarization, and the relations between inequality polarization, fractionalization and likelihood of conflicts. Axiomatic approaches to the measurement of polarization from different perspectives are analyzed rigorously. In order to understand the difference between inequality and polarization, a discussion on income inequality is also included.

New Developments in Applied Statistics Research

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Publisher : Nova Publishers
ISBN 13 : 9781604561753
Total Pages : 220 pages
Book Rating : 4.5/5 (617 download)

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Book Synopsis New Developments in Applied Statistics Research by : Mohammad Ahsanullah

Download or read book New Developments in Applied Statistics Research written by Mohammad Ahsanullah and published by Nova Publishers. This book was released on 2008 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computers have taken a permanent place in almost every human endeavor in the last 20 years. This infiltration requires a learning process on the part of the people utilising them and realising where and how they can be best used beyond the basic and obvious applications. Statistics is an example of their application in many diverse fields to reach conclusions and make projections never before possible. Beyond this, applied statistics is rapidly becoming not only an instrument, but an integral part of the advance of knowledge. There are many fields such as medicine, biology, weather prediction, military planning, and many others where the statistical studies are essential before the next step can be taken. This book presents recent research in the field from around the globe.

Selected Papers of C.R. Rao

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Publisher : Taylor & Francis
ISBN 13 : 9788122412857
Total Pages : 520 pages
Book Rating : 4.4/5 (128 download)

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Book Synopsis Selected Papers of C.R. Rao by : Calyampudi Radhakrishna Rao

Download or read book Selected Papers of C.R. Rao written by Calyampudi Radhakrishna Rao and published by Taylor & Francis. This book was released on 1989 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Volume Five Of Selected Papers Of C.R. Rao Consists Of 32 Papers That Appeared In Various Publications From 1985. These Papers Are Selected To Showcase Some Of The Fundamental Contributions In Characterizations Of Probability Distributions, Density Estimation, Analysis Of Multivariate Familial Data, Correspondence Analysis, Shape And Size Analysis, Signal Detection, Inference Based On Quadratic Entropy, Bootstrap, L-L Norm, Convex Discrepancy Function Etc., Estimation Problems In Univariate And Multivariate Linear Models And Regression Models Using Unified Theory Of Linear Estimation, M-Estimates, Lad Estimates Etc. And Many More Novel Concepts And Ideas With Enormous Potential For Further Research And In Which Active Research Is Being Carried Out.The Highlight Of This Volume Is The Stimulating Retrospection Of Prof. C.R. Rao About His Work Spanning The Last Three Score Years. An Updated Bibliography And A Brief Biographical Profile Of Prof. Rao Are Also Included.These Volumes Are Intended Not Only As A Ready Reference To Most Of Prof. Rao'S Oft Quoted And Used Results But Also To Inspire And Initiate Research Workers To The Broad Spectrum Of Areas In Theoretical And Applied Statistics In Which Prof. Rao Has Contributed.

Probability and Statistical Models with Applications

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Publisher : CRC Press
ISBN 13 : 1420036084
Total Pages : 665 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Probability and Statistical Models with Applications by : CH. A. Charalambides

Download or read book Probability and Statistical Models with Applications written by CH. A. Charalambides and published by CRC Press. This book was released on 2000-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph of carefully collected articles reviews recent developments in theoretical and applied statistical science, highlights current noteworthy results and illustrates their applications; and points out possible new directions to pursue. With its enlightening account of statistical discoveries and its numerous figures and tables, Probabili

NBS Special Publication

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Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NBS Special Publication by :

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: