๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A characterization of the normal distribution by the independence of a pair of random vectors and a property of the noncentral chi-square statistic

โœ Scribed by Lyle Cook

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
142 KB
Volume
1
Category
Article
ISSN
0047-259X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Improving on the Positive Part of the UM
Improving on the Positive Part of the UMVUE of a Noncentrality Parameter of a Noncentral Chi-Square Distribution
โœ P.Y.S. Shao; W.E. Strawderman ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 344 KB

The purpose of this paper is to give an explicit estimator dominating the positive part of the UMVUE of a noncentrality parameter of a noncentral \(\chi_{n}^{2}(\mu 2)\). Let \(Y \sim \chi_{n}^{2}(\mu / 2)\) with degree of freedom \(n\) and unknown parameter \(\mu\), loss \(=(\delta-\mu)^{2}\). In h

A Note on the Characterization of the No
A Note on the Characterization of the Normal Distribution
โœ Dr. M. Ahsanullah ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 127 KB ๐Ÿ‘ 2 views

Suppose X,, X,, ..., X, are independent and identically distributed random variables with absolutely continuous distribution function F. It is known that if F is standard normal distribution then (i) 2 X : is a chi-square with n degrees of freedom and (ii) nX2 is a chi-square with 1 degrees of freed