Characterizations, length-biasing, and infinite divisibility

DOI10.1007/BF02926159zbMath0847.60010MaRDI QIDQ1915113

E. B. Fosam, Anthony G. Pakes, Theofanis Sapatinas

Publication date: 24 September 1996

Published in: Statistical Papers (Search for Journal in Brave)

zbMATH Keywords

infinite divisibilitynatural exponential familiesweighted and length biased distributionscharacterization and structure theory

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characterization and structure theory of statistical distributions (62E10)

Related Items (16)

Structural properties of generalised Planck distributions ⋮ Random translations, contractions and dilations of order statistics and records ⋮ Characterization of Probability Laws via Length-Biasing and Stationary-Excess Operations ⋮ Characterization by invariance under length-biasing and random scaling ⋮ Characterizations by Power Contractions of Order Statistics ⋮ From risk reduction to risk elimination by conditional mean risk sharing of independent losses ⋮ Characterizations using weighted distributions ⋮ Weighted risk capital allocations in the presence of systematic risk ⋮ Random shifts and scalings ofm-generalized order statistics ⋮ Switching record and order statistics via random contractions ⋮ SIZE-BIASED TRANSFORM AND CONDITIONAL MEAN RISK SHARING, WITH APPLICATION TO P2P INSURANCE AND TONTINES ⋮ Characterization of laws by balancing weighting against a binary operation ⋮ Some Remarks about Robust Estimation of the Scale Parameter in Weighted Models ⋮ Size-Biased Risk Measures of Compound Sums ⋮ Generalized polya eggenberger family of distributions and its relation to lagrangian katz family ⋮ Random translation of discrete order statistics

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• A Note On Weighted Distributions
• Some divisibility problems in branching processes
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• Characterizations of gamma, inverse Gaussian, and negative binomial distributions via their length-biased distributions
• Infinite Divisibility of Integer-Valued Random Variables
• On the Zeros of Infinitely Divisible Densities

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