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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 16, Fasc. 1,
pages 29 - 44
 

INFINITE SEQUENCES WITH SIGN-SYMMETRIC LIOUVILLE DISTRIBUTIONS

Rameshwar D. Gupta
Jolanta K. Misiewicz
Donald St. P. Richards

Abstract: We define and study the sign-symmetric Dirichlet-type and Liouville-type distributions on n -dimensional space. We give a complete stochastic representation for infinite sequences of random variables (X : n (- N) n with the property that for every n (- N the random vector (X ,...,X ) 1 n has a sign-symmetric Liouville-type distribution.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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