Results on residual Rnyi entropy of order statistics and record values
This paper explores properties of the residual Rnyi entropy of some ordered random variables. The residual Rnyi entropy of the kth order statistic from a continuous distribution function is represented in terms of the residual Rnyi entropy of the kth order statistic from uniform distribution. The monotone behavior of the residual Rnyi entropy of order statistic under various conditions is discussed. Analogues results for the residual Rnyi entropy of record values are also given.
rnyi entropy order statistics record values residual lifetime shannon entropy reliability (n?k+1)-out-of-n systems