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

Format:

Book

Author/Creator:

Kotz, Samuel.

Contributor:

Van Dorp, Johan René.

Language:

English

Subjects (All):

Theory of distributions (Functional analysis).

Multivariate analysis.

Physical Description:

1 online resource (307 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; London : World Scientific, c2004.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

ISBN:

9786611897024

9781281897022

1281897027

9789812701282

9812701281

OCLC:

476063187