I I the Invariance Principle for One - Sample Rank - Order Statisticsi
نویسنده
چکیده
Analogous to the Donsker theorem on partial cumulative sums of independent random variables, for one-sample rank-order statistics, weak convergence to Brownian motion processes is studied here. This yields a simple proof of the asymptotic normality of the related rank statistics for random sample sizes. Analogous to the Donsker theorem on partial cumulative sums of independent random variables, for a broad class of one-sample rank-order statistics, weak convergence to Brownian motion processes is studied here. A simple proof of the asymptotic normality of these statistics for random sample sizes is also presented.
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