About the book
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.
Editions of Combinatorial Methods in Discrete Distributions
- Hardcover
- ISBN 9780471680277
- EBook
- ISBN 9780471733188
- EBook
- ISBN 9780471733171
Read an Excerpt
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.
Frequently Asked Questions
What is Combinatorial Methods in Discrete Distributions about?
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.
What core themes, tropes, or subjects are explored in Combinatorial Methods in Discrete Distributions?
Mathematics and Science > Mathematics > Probability and statistics
Where can I read a sample of Combinatorial Methods in Discrete Distributions?
You can read an official preview of the few pages here https://www.book2look.com/book/9780471680277
Is Combinatorial Methods in Discrete Distributions part of a series, and can it be read as a standalone?
Yes it is a part of series Wiley Series in Probability and Statistics
Who is/are the Author/s of the book Combinatorial Methods in Discrete Distributions?
Charalambos A. Charalambides
Who is the Publisher of the book Combinatorial Methods in Discrete Distributions?
Wiley
What are the ISBN numbers for the physical and digital editions?
Combinatorial Methods in Discrete Distributions is available as hardcover(ISBN 9780471680277) and ebook(ISBN 9780471733188) and ebook(ISBN 9780471733171)
Where can I buy Combinatorial Methods in Discrete Distributions online or support local independent bookshops?
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Where can I buy Combinatorial Methods in Discrete Distributions?