On a Class of Distributions Defined by the Relationship Between Their Density and Distribution Functions

DOI10.1080/03610920601126464zbMath1124.62002OpenAlexW2035306136MaRDI QIDQ5421538

M. C. Jones

Publication date: 24 October 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920601126464

zbMATH Keywords

logistic distributioncomplementary beta distributionquantile density function

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

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Cites Work

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• Families of distributions arising from distributions of order statistics
• A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations
• An identity for expectations of functions of order statistics
• A characterization by linearity of the regression function based on order statistics.
• The complementary beta distribution
• Parameter and Quantile Estimation for the Generalized Pareto Distribution
• Nonparametric Statistical Data Modeling
• Order Statistics
• New Characterizations by Properties of Midrange and Related Statistics
• Asymmetry and Gradient Asymmetry Functions: Density‐Based Skewness and Kurtosis

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