Discrete q-Distributions - Hardcover

Charalambides, Charalambos A.

Hardcover

ISBN 10: 1119119049 ISBN 13: 9781119119043

Verlag: John Wiley & Sons Inc, 2016

Inhaltsangabe

A self-contained study of the various applications and developments of discrete distribution theory

Written by a well-known researcher in the field, Discrete q-Distributions features an organized presentation of discrete q-distributions based on the stochastic model of a sequence of independent Bernoulli trials. In an effort to keep the book self-contained, the author covers all of the necessary basic q-sequences and q-functions.

The book begins with an introduction of the notions of a q-power, a q-factorial, and a q-binomial coefficient and proceeds to discuss the basic q-combinatorics and q-hypergeometric series. Next, the book addresses discrete q-distributions with success probability at a trial varying geometrically, with rate q, either with the number of previous trials or with the number of previous successes. Further, the book examines two interesting stochastic models with success probability at any trial varying geometrically both with the number of trials and the number of successes and presents local and global limit theorems. Discrete q-Distributions also features:

• Discussions of the definitions and theorems that highlight key concepts and results
• Several worked examples that illustrate the applications of the presented theory
• Numerous exercises at varying levels of difficulty that consolidate the concepts and results as well as complement, extend, or generalize the results
• Detailed hints and answers to all the exercises in an appendix to help less-experienced readers gain a better understanding of the content
• An up-to-date bibliography that includes the latest trends and advances in the field and provides a collective source for further research
• An Instructor’s Solutions Manual available on a companion website

A unique reference for researchers and practitioners in statistics, mathematics, physics, engineering, and other applied sciences, Discrete q-Distributions is also an appropriate textbook for graduate-level courses in discrete statistical distributions, distribution theory, and combinatorics.

Über diesen Titel

Über die Autorin bzw. den Autor

Charalambos A. Charalambides, PhD, is Professor Emeritus in the Department of Mathematics at the University of Athens, Greece. An elected member of the International Statistical Institute, his research interests include enumerative combinatorics, combinatorial probability, and parametric inference/point estimation. He is the author of Combinatorial Methods of Discrete Distributions, also published by Wiley.

Von der hinteren Coverseite

A self-contained study of the various applications and developments of discrete distribution theory

Written by a well-known researcher in the field, Discrete q-Distributions features an organized presentation of discrete q-distributions defined on the stochastic model of a sequence of independent Bernoulli trials. In an effort to keep the book self-contained, the author covers all of the necessary basic q-sequences and q-functions.

The book begins with an introduction of the notions of a q-power, a q-factorial, and a q-binomial coefficient and proceeds to discuss the basic q-Combinatorics and q-hypergeometric series. Next, the book addresses discrete q-distributions with success probability at a trial varying geometrically, with rate q, either with the number of previous trials or with the number of previous successes. Further, the book examines two interesting stochastic models with success probability at any trial varying geometrically both with the number of trials and the number of successes and presents local and global limit theorems. Discrete q-Distributions also features:

• Discussions of the definitions and theorems that highlight key concepts and results
• Several worked out examples that illustrate the applications of the presented theory
• Numerous exercises at varying levels of difficulty that consolidate the concepts and results as well as complement, extend, or generalize the results
• Detailed hints and answers to all the exercises in an appendix to help less experienced readers gain a better understanding of the content
• An up-to-date bibliography that includes the latest trends and advances in the field and is a collective source for further research

A unique reference for researchers and practitioners in statistics, mathematics, physics, engineering, and other applied sciences, Discrete q-Distributions is also an appropriate textbook for graduate-level courses in discrete statistical distributions, distribution theory, and combinatorics.

Details zur Ausgabe

• Verlag: John Wiley & Sons Inc
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 1119119049
• ISBN 13: 9781119119043
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 264
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar