Characterizations of the normal distribution via the independence of the sample mean and the feasible definite statistics with ordered arguments

DOI10.1007/S10463-021-00805-3OpenAlexW3191268054MaRDI QIDQ2135516

Gwo Dong Lin, Chin-Yuan Hu

Publication date: 9 May 2022

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.06152

zbMATH Keywords

order statisticssample variancesample meanGini's mean differencecharacterization of distributionssample rangeAnosov's theoremBenedetti's inequality

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Di alcune disuguaglianze collegate al campo di variazione di indici statistici
• On the extrema of some statistical coefficients
• The best lower bound of sample correlation coefficient with ordered restriction
• On the joint distribution of Studentized order statistics
• On some characterizations of population distributions
• On some inequalities related to the range of some statistical indices
• On the characterization of the normal population by the independence of the sample mean and the sample variance
• Order Statistics
• A Characterization of the Normal Distribution
• Bounds for the ratio of range to standard deviation
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