Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics

DOI10.1007/s13398-020-00820-8zbMath1441.62052OpenAlexW3007190433MaRDI QIDQ2301872

M. Fashandi, H. N. Nagaraja, Jafar Ahmadi

Publication date: 25 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00820-8

zbMATH Keywords

momentscharacterizationspacingsMüntz-Szász theoremsymmetric distributionquasi-midrange

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (2)

Characterization results for symmetric continuous distributions based on the properties of \(k\)-records and spacings ⋮ Characterization of continuous symmetric distributions using information measures of records

Uses Software

• sn

Cites Work

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• Characterization based symmetry tests and their asymptotic efficiencies
• Characterizations of symmetric distributions based on Rényi entropy
• Characterizations of univariate continuous distributions
• Goodness-of-fit tests and model validity. Papers from the international conference, Paris, France, May 29--31, 2000
• Stochastic orders
• Families of distributions arising from distributions of order statistics
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• Müntz-Szasz theorems for nilpotent Lie groups
• Testing for central symmetry and inference of the unknown center
• Symmetry of a distribution via symmetry of order statistics
• A Monte Carlo evaluation of the performance of two new tests for symmetry
• Dual generalized order statistics
• Characterization of symmetric distributions based on some information measures properties of order statistics
• Conditional properties of a random sample given an order statistic
• New characterization-based symmetry tests
• The Skew-Normal and Related Families
• A characterization of and new consistent tests for symmetry
• Estimates of the Mean and Standard Deviation of a Normal Population
• Moment Problem of Order Statistics: A Review
• On a Generalized Moment Problem. II
• Order Statistics
• Goodness-of-fit tests based on characterizations of continuous distributions
• Comparison of efficiencies of some symmetry tests around an unknown centre
• Tests based on characterizations, and their efficiencies: a survey
• A new test for symmetry against right skewness
• New $$U$$-empirical Tests of Symmetry Based on Extremal Order Statistics, and Their Efficiencies
• A First Course in Order Statistics

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