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On stochastic properties of past varentropy with applications
Applications of Mathematics, Tome 69 (2024) no. 3, pp. 373-394 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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To have accuracy in the extracted information is the goal of the reliability theory investigation. In information theory, varentropy has recently been proposed to describe and measure the degree of information dispersion around entropy. Theoretical investigation on varentropy of past life has been initiated, however details on its stochastic properties are yet to be discovered. In this paper, we propose a novel stochastic order and introduce new classes of life distributions based on past varentropy. Further, we illustrate some of its applications in reliability modeling and in the diversity measure of Boltzmann distribution.
To have accuracy in the extracted information is the goal of the reliability theory investigation. In information theory, varentropy has recently been proposed to describe and measure the degree of information dispersion around entropy. Theoretical investigation on varentropy of past life has been initiated, however details on its stochastic properties are yet to be discovered. In this paper, we propose a novel stochastic order and introduce new classes of life distributions based on past varentropy. Further, we illustrate some of its applications in reliability modeling and in the diversity measure of Boltzmann distribution.
DOI : 10.21136/AM.2024.0163-23
Classification : 60E15, 62B10, 94A17
Keywords: ageing classes; past varentropy order; stochastic orders; varentropy 
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     title = {On stochastic properties of past varentropy with applications},
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Sharma, Akash; Kundu, Chanchal. On stochastic properties of past varentropy with applications. Applications of Mathematics, Tome 69 (2024) no. 3, pp. 373-394. doi: 10.21136/AM.2024.0163-23

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