A Quantiled Study of Dynamic Generalized Non-Additive Entropy Measure for Record Value

Nonnegative entropy measures (Harda and Charvat 1988) for record statistics are essentialfor numerous applications. But this measure is only relevant for a new or unusedfunction. If a function is used for some unit of time, then what about residual lifereliability or failure? In this research paper, we study the quantile approach of ResidualNon- additive Entropy for record statistics and some specific distributions. Also,we study the proposed measure in the hazard rate function. At the end graphical presentationmakes more deeply and easy to understand the specific features of the measure.

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Publication Details

Journal
Modern Dynamics: Mathematical Progressions.
Published
2024-12-30
DOI
https://doi.org/10.36676/mdmp.v1.i3.39
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

A Quantiled Study of Dynamic Generalized Non-Additive Entropy Measure for Record Value

Vinod Bhatia, Susela Devi
Modern Dynamics: Mathematical Progressions.
Statistical Distribution Estimation and Applications
article

A Quantiled Study of Dynamic Generalized Non-Additive Entropy Measure for Record Value

Vinod Bhatia, Susela Devi
article en

Abstract

Nonnegative entropy measures (Harda and Charvat 1988) for record statistics are essentialfor numerous applications. But this measure is only relevant for a new or unusedfunction. If a function is used for some unit of time, then what about residual lifereliability or failure? In this research paper, we study the quantile approach of ResidualNon- additive Entropy for record statistics and some specific distributions. Also,we study the proposed measure in the hazard rate function. At the end graphical presentationmakes more deeply and easy to understand the specific features of the measure.

Modern Dynamics: Mathematical Progressions.Vol. 1(3)
Baba Mastnath University (IN)
Openalex Percentile: Top 73%
Statistical Distribution Estimation and Applications
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