On stochastic properties of past varentropy with applications

Akash Sharma; Chanchal Kundu

Applications of Mathematics (2024)

  • Volume: 69, Issue: 3, page 373-394
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Sharma, Akash, and Kundu, Chanchal. "On stochastic properties of past varentropy with applications." Applications of Mathematics 69.3 (2024): 373-394. <http://eudml.org/doc/299533>.

@article{Sharma2024,
abstract = {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.},
author = {Sharma, Akash, Kundu, Chanchal},
journal = {Applications of Mathematics},
keywords = {ageing classes; past varentropy order; stochastic orders; varentropy},
language = {eng},
number = {3},
pages = {373-394},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On stochastic properties of past varentropy with applications},
url = {http://eudml.org/doc/299533},
volume = {69},
year = {2024},
}

TY - JOUR
AU - Sharma, Akash
AU - Kundu, Chanchal
TI - On stochastic properties of past varentropy with applications
JO - Applications of Mathematics
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 3
SP - 373
EP - 394
AB - 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.
LA - eng
KW - ageing classes; past varentropy order; stochastic orders; varentropy
UR - http://eudml.org/doc/299533
ER -

References

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