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9780824753962

Handbook Of Beta Distribution And Its Applications

by ;
  • ISBN13:

    9780824753962

  • ISBN10:

    0824753968

  • Format: Hardcover
  • Copyright: 2004-06-21
  • Publisher: CRC Press

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Summary

A milestone in the published literature on the subject, this first-ever Handbook of Beta Distribution and Its Applications clearly enumerates the properties of beta distributions and related mathematical notions. It summarizes modern applications in a variety of fields, reviews up-and-coming progress from the front lines of statistical research and practice, and demonstrates the applicability of beta distributions in fields such as economics, quality control, soil science, and biomedicine. The book discusses the centrality of beta distributions in Bayesian inference, the beta-binomial model and applications of the beta-binomial distribution, and applications of Dirichlet integrals.

Table of Contents

Preface iii
Contributors vii
Beta Function and the Incomplete Beta Function
3(30)
Saralees Nadarajah
Arjun K. Gupta
Mathematical Properties of the Beta Distribution
33(22)
Arjun K. Gupta
Saralees Nadarajah
Products and Linear Combinations
55(34)
Saralees Nadarajah
Arjun K. Gupta
Order Statistics and Records
89(8)
Arjun K. Gupta
Saralees Nadarajah
Generalizations and Related Univariate Distributions
97(68)
Saralees Nadarajah
Arjun K. Gupta
Beta Distributions in Stochastic Processes
165(38)
Kosto Mitov
Saralees Nadarajah
Approximations and Tables of Beta Distributions
203(26)
Narayan Giri
Maximum Likelihood Estimators of the Parameters in a Beta Distribution
229(8)
Truc T. Nguyen
Goodness-of-Fit Testing of the Beta-Binomial Model
237(18)
Steven T. Garren
Distributions with Beta Conditionals
255(28)
Barry C. Arnold
Enrique Castillo
Jose M. Sarabia
Parameter Specification of the Beta Distribution and Its Dirichlet Extensions Utilizing Quantiles
283(36)
J. Rene van Dorp
Thomas A. Mazzuchi
Extensions of Dirichlet Integrals: their Computation and Probability Applications
319(42)
Milton Sobel
Krzysztof S. Frankowski
Bayesian Inference
361(62)
T. Pham-Gia
Applications of the Beta Distribution
423(14)
Sudhir R. Paul
Beta Distribution in Bioassay
437(20)
R. T. Smythe
Adaptive Economic Choices under Recurrent Disasters: A Bayesian Perspective
457(28)
Manish C. Bhattacharjee
Probabilistic Analysis of Machine Tool Errors Using Beta Distribution
485(22)
Kyoung-Gee Ahn
An Attempt to Model Distributions of Part Dimensions by Using Beta Distribution in Quality Control
507(22)
Can Cogun
Applications of the Beta-Binomial Distribution to Animal Teratology Experiments
529(6)
Dirk F. Moore
Woollcott Smith
Applications of the Beta Distribution in Soil Science
535(16)
Gerrit H. de Rooij
Frank Stagnitti
Limited-Range Distributions with Informative Dropout
551(4)
Alan H. Feiveson
New Binomial and Multinomial Distributions from Graph Theory
555(14)
Yontha Ath
Milton Sobel
Index 569

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