1.

Record Nr.

UNINA9910828691903321

Autore

Kotz Samuel

Titolo

Beyond beta [[electronic resource] ] : other continuous families of distributions with bounded support and applications / / Samuel Kotz, Johan Rene   van Dorp

Pubbl/distr/stampa

Singapore ; ; London, : World Scientific, c2004

ISBN

1-281-89702-7

9786611897024

981-270-128-1

Descrizione fisica

1 online resource (307 p.)

Classificazione

31.73

Altri autori (Persone)

Van DorpJohan ReneĢ

Disciplina

515.782

519.5

Soggetti

Theory of distributions (Functional analysis)

Multivariate analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and indexes.

Nota di contenuto

Preface; Contents; Chapter 1 The Triangular Distribution; Chapter 2 Some Early Extensions of the Triangular Distribution; Chapter 3 The Standard Two-Sided Power Distribution; Chapter 4 The Two-Sided Power Distribution; Chapter 5 The Generalized Trapezoidal Distribution; Chapter 6 Uneven Two-Sided Power Distributions; Chapter 7 The Reflected Generalized Topp and Leone Distribution; Chapter 8 A Generalized Framework for Two-Sided Distributions; Epilogue; Appendix A Graphical Overview of Continuous Univariate Families of Distributions possessing a Bounded Domain

Appendix B The Johnson SB DistributionBibliography; Author Index; Subject Index

Sommario/riassunto

Statistical distributions are fundamental to Statistical Science and are a prime indispensable tool for its applications. This monograph is the first to examine an important but somewhat neglected field - univariate continuous distribution on a bounded domain, excluding the beta distribution. It provides an elementary but thorough discussion of ''novel'' contributions developed in recent years, such as the two-sided power, generalized trapezoidal and generalized Topp and Leone



distributions, among others. It discusses a general framework for constructing two-sided distributions and some of its