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Handbook of Beta Distribution and Its Applications [Kietas viršelis]

Edited by (Bowling Green State University, Ohio, USA), Edited by (University of South Florida, Tampa, Florida, USA)
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The flexible family of distributions has been used extensively in statistical theory and practice for over a century, but a broad detailed reference to it has not been produced until now. Specialists from North America, Europe, and Australia synthesize all the information available in the literature that they feel is worth passing on, striving to attain a proper balance between theory and applications, into a handbook they intend to be accessible to novices and useful for veteran researchers. Among their topics are generalizations and related univariate distributions, beta distributions in stochastic processes, Bayesian inference, and limited-range distributions with information dropout. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
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


Arjun K. Gupta, Saralees Nadarajah