Characterization of the normal distribution by constant regression of quadratic statistics on linear statistics期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Characterization of the normal distribution by constant regression of quadratic statistics on linear statistics

Authors:	B. Gyires

Affiliation:	(1) Kossuth Lajos Tudományegyetem Valószínségszámítási És Alkalmazott Matematikai Tanszék, PF. 12, H-4010 Debrecen, Hungary

Abstract:	This paper contains applications of theorems of [1] for quadratic statistics which have constant regression on linear statistics. Two theorems are proved. The first is a sufficient condition which assumes that the characteristic function of a sample is an entire function. The second gives a new characterization of the normal distribution.

Keywords:	Primary 62E10 Secondary 60E05
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