Generalized normal distributions.

Tardiff, Robert M.. "Generalized normal distributions.." Stochastica 4.3 (1980): 221-225. <http://eudml.org/doc/38835>.

@article{Tardiff1980,
abstract = {It is well known (see [2], p. 158) that if X and Y are independent random variables with a continuous joint probability density function (pdf) which is spherically symmetric about the origin, then both X and Y are normally distributed. In this note we examine the condition that the joint pdf be spherically symmetric about the origin and show that the normal distribution is strongly dependent on the choice of metric for R2.},
author = {Tardiff, Robert M.},
journal = {Stochastica},
keywords = {Distribución normal; Función densidad de probabilidad; Simetría esférica; Variables aleatorias; generalized normal distributions; spherical symmetric},
language = {eng},
number = {3},
pages = {221-225},
title = {Generalized normal distributions.},
url = {http://eudml.org/doc/38835},
volume = {4},
year = {1980},
}

TY - JOUR
AU - Tardiff, Robert M.
TI - Generalized normal distributions.
JO - Stochastica
PY - 1980
VL - 4
IS - 3
SP - 221
EP - 225
AB - It is well known (see [2], p. 158) that if X and Y are independent random variables with a continuous joint probability density function (pdf) which is spherically symmetric about the origin, then both X and Y are normally distributed. In this note we examine the condition that the joint pdf be spherically symmetric about the origin and show that the normal distribution is strongly dependent on the choice of metric for R2.
LA - eng
KW - Distribución normal; Función densidad de probabilidad; Simetría esférica; Variables aleatorias; generalized normal distributions; spherical symmetric
UR - http://eudml.org/doc/38835
ER -