Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy

Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy

We propose a generalized cumulative residual information measure based on Tsallis entropy and its dynamic version. We study the characterizations of the proposed information measure and define new classes of life distributions based on this measure. Some applications are provided in relation to weig...

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Veröffentlicht in:Journal of Probability and Statistics 2015-01, Vol.2015 (2015), p.287-294
Hauptverfasser: Sati, Madan Mohan, Gupta, Nitin
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Distribution (Probability theory)
Dynamics
Economic models
Empirical analysis
Entropy
Entropy (Information theory)
Estimates
Information theory
Mammography
NMR
Nuclear magnetic resonance
Random variables
Residuals (Statistics)
Statistics
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Zusammenfassung:We propose a generalized cumulative residual information measure based on Tsallis entropy and its dynamic version. We study the characterizations of the proposed information measure and define new classes of life distributions based on this measure. Some applications are provided in relation to weighted and equilibrium probability models. Finally the empirical cumulative Tsallis entropy is proposed to estimate the new information measure.
ISSN:1687-952X
1687-9538
DOI:10.1155/2015/694203