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Register a new userA Shannon-Tsallis transformation
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Added by
Prof. A. Plastino
Publication date
2012
fields
Mathematical Statistics
and research's language is
English
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We determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannons or Tsallis entropies in the concomitant variational problem. It is shown that the two variations lead to equivalent solutions that take different appearances but contain the same information. These solutions are linked by our transformation.
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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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