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Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
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.
Review
"Highly recommended." (CHOICE, January 2006)
"...a valuable and up-to-date account on Sterling numbers and occupancy distributions." (Mathematical Reviews, 2006c)
"About this title" may belong to another edition of this title.
- PublisherWiley-Interscience
- Publication date2005
- ISBN 10 0471680273
- ISBN 13 9780471680277
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages440
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Combinatorial Methods in Discrete Distributions (Hardcover)
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John Wiley & Sons Inc, Chichester, 2005
ISBN 10: 0471680273
ISBN 13: 9780471680277
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Hardcover. Condition: new. Hardcover. 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 coefficientsOccupancy and sequential occupancy distributionsn-fold convolutions of truncated distributionsCompound 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780471680277
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