Abstract
In this paper, we discuss the calculation of Renyi entropy in a set of consecutive order statistics (OS) and a set of progressively Type-II censored OS . We propose a useful, but indirect, computational approach for computing the Renyi entropy of consecutive order statistics that simplifies the calculations. Some recurrence relations for the Renyi entropy of a set of consecutive order statistics are also derived to facilitate the Renyi entropy computation using the proposed decomposition. Moreover, an extension of the calculation of Renyi entropy for a set of progressively Type-II censored OS is established. Efficient methods are derived which simplify the computation of the Renyi entropy in both settings.
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