期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2004
卷号：66
期号：03
出版社：Indian Statistical Institute
摘要：Conditionings in a finite sequence $X^{(N)} = (X_1 , X_2 , \ldots , X_N)$ of real random variables by $\max X^{(N)}$ and by $\max X^{(N)}$ together with $\min X^{(N)}$ are considered. If $X^{(N)}$ is conditionally uniform in a very general sense with respect to a reference Borel measure $\nu$ then a shorter subsequence $X^{(n)} = (X_1, X_2 ,\ldots , X_n)$, $1\le n < N$, can be well approximated, in the variation distance, by a mixture of $n$-powers of restrictions of $\nu$. These finite de Finetti type results can be used to obtain integral representations of infinite sequences which have all their finite sub-sequences conditionally uniform.
关键词：Aggregate measures; exchangeability; finite forms of de Finetti-type theorems; uniform distribution
