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On Some Convergence Properties of One-Sample Rank Order Statistics

On Some Convergence Properties of One-Sample Rank Order Statistics

For a broad class of one-sample rank order statistics, almost sure (a.s.) convergence and exponential bounds for the probability of large deviations, when the basic random variables are not necessarily identically distributed, are established here. In this context, extending a result of Brillinger (1962) to the case of non-iidrv (independent …