Rényi Entropy of k-Records
properties and applications
Keywords:Characterization, k-Records, Monotone Property, Rényi entropy ordering, Rényi divergence, Uniform distributivo
In this paper, we discuss on Rényi entropy of k-records arising from any continuous distribution in detail. The relevance of constructing k-records from random sample in the context of information contained in a random variable has been described in the study. Some important properties of Rényi entropy of k-records have been derived as well. Two relevant applications of Rényi entropy of k-records are discussed in this work. Finally, a simple estimator is proposed for Rényi entropy of k-records and a numerical illustration has been carried out using a real life data set.
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