Overview
A unique approach illustrating discrete distribution theory through combinatorial methods This book provides a unique approach by presenting combinatorial methods in tandem with discrete distribution theory. This method, particular to discreteness, allows readers to gain a deeper understanding of theory by using applications to solve problems. The author makes extensive use of the reduction approach to conditional distributions of independent random occupancy numbers, and provides excellent studies of occupancy and sequential occupancy distributions, convolutions of truncated discrete distributions, and compound and mixture distributions. Combinatorial Methods in Discrete Distributions begins with a brief presentation of set theory followed by basic counting principles. Fundamental principles of combinatorics, finite differences, and discrete probability are included to give readers the necessary foundation to the topics presented in the text. A thorough examination of the field is provided and features: Stirling numbers and generalized factorial coefficients Occupancy and sequential occupancy distributions n-fold convolutions of truncated distributions Compound and mixture distributions Thoroughly worked examples aid readers in understanding complex theory and discovering how theory can be applied to solve practical problems. An appendix with hints and answers to the exercises helps readers work through the more complex sections. Reference notes are provided at the end of each chapter, and an extensive bibliography offers readers a resource for additional information on specialized topics.
Full Product Details
Author: Charalambos A. Charalambides (University of Athens, Greece)
Publisher: John Wiley & Sons Inc
Imprint: Wiley-Interscience
Dimensions:
Width: 16.40cm
, Height: 2.50cm
, Length: 24.10cm
Weight: 0.671kg
ISBN: 9780471680277
ISBN 10: 0471680273
Pages: 440
Publication Date: 27 May 2005
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Out of stock
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Reviews
Highly recommended. (CHOICE, January 2006) ?a valuable and up-to-date account on Sterling numbers and occupancy distributions. (Mathematical Reviews, 2006c)
Highly recommended. (CHOICE, January 2006) ...a valuable and up-to-date account on Sterling numbers and occupancy distributions. (Mathematical Reviews, 2006c)
"""Highly recommended."" (CHOICE, January 2006) ""…a valuable and up-to-date account on Sterling numbers and occupancy distributions."" (Mathematical Reviews, 2006c)"
Author Information
CHARALAMBOS A. CHARALAMBIDES, PHD, is a Professor in the Department of Mathematics, University of Athens, Greece. He is Associate Editor of Communications in Statistics, author of Enumerative Combinatorics, and an elected member of the International Statistical Institute.
