Displaying similar documents to “On an interval-partitioning scheme”

A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.

André Adler (1988)

Stochastica

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The goal of this paper is to show that, in most strong laws of large numbers, the n partial sum can be replaced with the largest of the first n sums. Moreover it is shown that the usual assumptions of independence and common distribution are unnecessary and that these results apply also to strong laws for Banach valued random elements.

Some properties of beta functions and the distribution for the product of independent beta random variables.

Giorgio Pederzoli (1985)

Trabajos de Estadística e Investigación Operativa

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Products of independent beta random variables appear in a large number of problems in multivariate statistical analysis. In this paper we show how a convenient factorial expansion of gamma ratios can be suitably used in deriving the exact density for a product of independent beta random variables. Possible applications of this result for obtaining the exact densities of the likelihood ratio criteria for testing hypotheses in the multinormal case are also pointed out. For the sake of...