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math.ST2021
Characterizations of the Normal Distribution via the Independence of the Sample Mean and the Feasible Definite Statistics with Ordered Arguments
Chin-Yuan Hu, Gwo Dong Lin
It is well known that the independence of the sample mean and the sample variance characterizes the normal distribution. By using Anosov's theorem, we further investigate the analo…
math.ST2018★ 14 cited
Characterizations of the Logistic and Related Distributions
Chin-Yuan Hu, Gwo Dong Lin
It is known that few characterization results of the logistic distribution were available before, although it is similar in shape to the normal one whose characteristic properties…