On cumulative residual (past) inaccuracy for truncated random variables
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The cumulative residual and past inaccuracy measures, which are extensions of the corresponding cumulative entropies, are studied and several properties, including monotonicity and bounds, are obtained.Abstract:
To overcome the drawbacks of Shannon’s entropy, the concept of cumulative residual and past entropy has been proposed in the information theoretic literature. Furthermore, the Shannon entropy has been generalized in a number of different ways by many researchers. One important extension is Kerridge inaccuracy measure. In the present communication we study the cumulative residual and past inaccuracy measures, which are extensions of the corresponding cumulative entropies. Several properties, including monotonicity and bounds, are obtained for left, right and doubly truncated random variables.read more
Citations
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Some properties of cumulative Tsallis entropy
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A residual inaccuracy measure based on the relevation transform
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Bivariate extension of (dynamic) cumulative residual and past inaccuracy measures
Amit Ghosh,Chanchal Kundu +1 more
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Uncertainty of financial time series based on discrete fractional cumulative residual entropy.
Boyi Zhang,Pengjian Shang +1 more
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Dynamic cumulative residual Rényi entropy for Lomax distribution: Bayesian and non-Bayesian methods
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