Results on residual Rényi entropy of order statistics and record values

This paper explores properties of the residual Renyi entropy of some ordered random variables. The residual Renyi entropy of the kth order statistic from a continuous distribution function is represented in terms of the residual Renyi entropy of the kth order statistic from uniform distribution. The monotone behavior of the residual Renyi entropy of order statistic under various conditions is discussed. Analogues results for the residual Renyi entropy of record values are also given.

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