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Register a new userCumulative Tsallis Entropy for Maximum Ranked Set Sampling with Unequal Samples
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Added by
Maria Longobardi Prof.Dr.
Publication date
2020
fields
Mathematical Statistics
and research's language is
English
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In this paper, we consider the information content of maximum ranked set sampling procedure with unequal samples (MRSSU) in terms of Tsallis entropy which is a nonadditive generalization of Shannon entropy. We obtain several results of Tsallis entropy including bounds, monotonic properties, stochastic orders, and sharp bounds under some assumptions. We also compare the uncertainty and information content of MRSSU with its counterpart in the simple random sampling (SRS) data. Finally, we develop some characterization results in terms of cumulative Tsallis entropy and residual Tsallis entropy of MRSSU and SRS data.
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