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Some characterizations of the normal distribution

โœ Scribed by N. Bansal; G.G. Hamedani; EricS. Key; Hans Volkmer; Hao Zhang; J. Behboodian

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
88 KB
Volume
42
Category
Article
ISSN
0167-7152

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โœฆ Synopsis

Various characterizations of the univariate normal distribution are presented.

๐Ÿ“œ SIMILAR VOLUMES

Characterizations of a discrete normal d
Characterizations of a discrete normal distribution
โœ Adrienne W. Kemp ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 297 KB

The paper obtains a discrete analogue of the normal distribution as the distribution that is characterized by maximum entropy, specified mean and variance, and integer support on (-vc, so). Two alternative characterizations are given, firstly as the distribution of the difference of two related Hein

Certain Characterizations of Normal Dist
Certain Characterizations of Normal Distribution via Transformations
โœ G.G. Hamedani; Hans Volkmer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 109 KB

It is well known that i.i.d. (independent and identically distributed) normal random variables are transformed into i.i.d. normal random variables by any orthogonal transformation. Less well known are nonlinear transformations with the above-mentioned property. In this work we present nonlinear tran