Characterizations of univariate continuous distributions. (2017)

• Record Type: Book
• Further Information: Note: Mohammad Ahsanullah.
• Authors: Ahsanullah, Mohammad
• 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.
• Publisher Details: France : Atlantis Press
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 519.2/4; 519.5; Distribution (Probability theory); MATHEMATICS -- Applied; MATHEMATICS -- Probability & Statistics -- General; Distribution (Probability theory); Statistics; Statistical Theory and Methods; Probability Theory and Stochastic Processes; Electronic books
• Languages: English
• ISBNs: 9789462391390; 9462391394
• Related ISBNs: 9789462391383; 9462391386
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 1, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.