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The characterizations of probability distributions allow the investigator to choose a suitable model from a handful of distributions for a data set in hand. The present study deals with Rényi entropy being treated as a function of the ordered random variable named  k -records instead of the unordered random variable to derive some new characterizations of probability distributions. The characterization results are established based on upper  k -records as well as lower  k -records and uses both upper and lower  k -records simultaneously in certain situations.

Rényi entropy on k -records and its applications in characterizing distributions