Incorporating a collection of recent results, Polya Urn Models
deals with discrete probability through the modern and evolving urn
theory and its numerous applications. The book first substantiates
the realization of distributions with urn arguments and introduces
several modern tools, including exchangeability and stochastic
processes via urns. It reviews classical probability problems and
presents dichromatic Polya urns as a basic discrete structure
growing in discrete time. The author then embeds the discrete Polya
urn scheme in Poisson processes to achieve an equivalent view in
continuous time, provides heuristical arguments to connect the
Polya process to the discrete urn scheme, and explores extensions
and generalizations. He also discusses how functional equations for
moment generating functions can be obtained and solved. The final
chapters cover applications of urns to computer science and
bioscience. Examining how urns can help conceptualize discrete
probability principles, this book provides information pertinent to
the modeling of dynamically evolving systems where particles come
and go according to governing rules.
General
Imprint: |
Taylor & Francis
|
Country of origin: |
United Kingdom |
Series: |
Chapman & Hall/CRC Texts in Statistical Science |
Release date: |
2023 |
Authors: |
Hosam Mahmoud
|
Dimensions: |
234 x 156mm (L x W) |
Format: |
Paperback
|
Pages: |
306 |
ISBN-13: |
978-1-03-247779-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
1-03-247779-2 |
Barcode: |
9781032477794 |
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