Processus empirique des rapports de $m$-espacements uniformes disjoints

Mathematics – Statistics Theory

Scientific paper

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Scientific paper

We consider an empirical process based upon ratio of selected pair of the non-overlapping spacings generated by independent samples of arbitrary sizes. As a main result we show that when both samples are uniformly distributed on intervals of equal lengths, this empirical process converges to a gaussian process limiting, which we specify the structure when the sample sizes tend to infinity.

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