EQUIVALENCE OF CERTAIN PRODUCT MEASURES
成果类型：
Article
署名作者：
FERNIQUE, X
署名单位：
Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Centre National de la Recherche Scientifique (CNRS)
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/BF01311349
发表日期：
1994
页码：
77-90
关键词：
摘要：
Let G = {g(k), k is-an-element-of N} be a sequence of independent Gaussian centred reduced random variables; let moreover Y={y(k), k is-an-element-of N} be a-sequence independent of G of independent random variables: For obtaining conditions characterizing the equivalence of the distributions of G and G + Y we use the zero-one laws verified by G, first for the convergence of the series SIGMA sigma(k) g(k) or SIGMA sigma(k) (g(k)2 - a(k)), secundly for the asymptotic behavior of the sequence {g(k), k is-an-element-of N} and we analyze their maximal effects on the distribution of Y.
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