Discrete q-Distributions

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Discrete q-Distributions by Charalambos A. Charalambides, Wiley
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Charalambos A. Charalambides ISBN: 9781119119104
Publisher: Wiley Publication: February 11, 2016
Imprint: Wiley Language: English
Author: Charalambos A. Charalambides
ISBN: 9781119119104
Publisher: Wiley
Publication: February 11, 2016
Imprint: Wiley
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

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.

More books from Wiley

Cover of the book Models for Bonding in Chemistry by Charalambos A. Charalambides
Cover of the book A Companion to Los Angeles by Charalambos A. Charalambides
Cover of the book GPCR Molecular Pharmacology and Drug Targeting by Charalambos A. Charalambides
Cover of the book Fluid-Structure Interactions and Uncertainties by Charalambos A. Charalambides
Cover of the book How to Reach and Teach Children and Teens with ADD/ADHD by Charalambos A. Charalambides
Cover of the book Max Weber by Charalambos A. Charalambides
Cover of the book Lipidomics by Charalambos A. Charalambides
Cover of the book Human Bond Communication by Charalambos A. Charalambides
Cover of the book Canon Speedlite System Digital Field Guide by Charalambos A. Charalambides
Cover of the book Christian Spirituality by Charalambos A. Charalambides
Cover of the book Bioelectrochemistry of Biomembranes and Biomimetic Membranes by Charalambos A. Charalambides
Cover of the book An Introduction to TTCN-3 by Charalambos A. Charalambides
Cover of the book Play Therapy by Charalambos A. Charalambides
Cover of the book Feature and Magazine Writing by Charalambos A. Charalambides
Cover of the book Intracorporeal Robotics by Charalambos A. Charalambides
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy