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Characterizations of univariate continuous distributions

Author: Mohammad Ahsanullah
Publisher: [France] : Atlantis Press, 2017.
Series: Atlantis studies in probability and statistics, v. 7.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of Probability Distributions" (Springer), together with applications of the theory in model fitting and predictions.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ahsanullah, Mohammad.
Characterizations of univariate continuous distributions.
[France] : Atlantis Press, 2017
(OCoLC)909327437
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mohammad Ahsanullah
ISBN: 9789462391390 9462391394
OCLC Number: 982958166
Description: 1 online resource.
Contents: Preface; Contents; 1 Introduction; 1.1 Distribution of Univariate Continuous Distribution; 1.2 Moment Generating and Characteristic Functions; 1.3 Some Reliability Properties; 1.4 Cauchy Functional Equations; 1.5 Order Statistics; 1.6 Record Values; 1.7 Generalized Order Statistics; 1.8 Lower Generalized Order Statistics (Lgos); 1.9 Some Useful Functions; 2 Some Continuous Distributions; 2.1 Beta Distribution; 2.2 Cauchy Distribution; 2.3 Chi-Squared Distribution; 2.4 Exponential Distribution; 2.5 F-Distribution; 2.6 Gamma Distribution; 2.7 Gumbel Distribution. 2.8 Inverse Gaussian (Wald) Distribution2.9 Laplace Distribution; 2.10 Logistic Distribution; 2.11 Lognormal Distribution; 2.12 Normal Distribution; 2.13 Pareto Distribution; 2.14 Power Function Distribution; 2.15 Rayleigh Distribution; 2.16 Student's t-Distribution; 2.17 Weibull Distribution; 3 Characterizations of Distributions by Independent Copies; 3.1 Characterization of Normal Distribution; 3.2 Characterization of Levy Distribution; 3.3 Characterization of Wald Distribution; 3.4 Characterization of Exponential Distribution; 3.5 Characterization of Symmetric Distribution. 3.6 Charactetrization of Logistic Disribution3.7 Characterization of Distributions by Truncated Statistics; 3.7.1 Characterization of Semi Circular Distribution; 3.7.2 Characterization of Lindley Distribution; 3.7.3 Characterization of Rayleigh Distribution; 4 Characterizations of Univariate Distributions by Order Statistics; 4.1 Characterizations of Student's t Distribution; 4.2 Characterizations of Distributions by Conditional Expectations (Finite Sample); 4.3 Characterizations of Distributions by Conditional Expectations (Extended Sample); 4.4 Characterizations Using Spacings. 4.5 Characterizations of Symmetric Distribution Using Order Statistics4.6 Characterization of Exponential Distribution Using Conditional Expectation of Mean; 4.7 Characterizations of Power Function Distribution by Ratios of Order Statistics; 4.8 Characterization of Uniform Distribution Using Range; 4.9 Characterization by Truncated Order Statistics; 5 Characterizations of Distributions by Record Values; 5.1 Characterizations Using Conditional Expectations; 5.2 Characterization by Independence Property; 5.3 Characterizations Based on Identical Distribution. 6 Characterizations of Distributions by Generalized Order Statistics6.1 Characterizations by Conditional Expectations; 6.2 Characterizations by Equality of Expectations of Normalized Spacings; 6.3 Characterizations by Equality of Distributions; References; Index.
Series Title: Atlantis studies in probability and statistics, v. 7.
Responsibility: Mohammad Ahsanullah.

Abstract:

Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of  Read more...

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