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PreprintarXiv licencearXiv

On Weighted Mathai-Haubold Entropy Measures

  • Oindrali Das
  • Siddhartha Chakraborty
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Abstract

In this paper, we propose weighted Mathai-Haubold entropy along with their residual and past versions and study their properties. We develop aging classes based on the weighted Mathai-Haubold residual and past entropy measures. Also, some inequalities related to the three proposed measures are discussed. Non-parametric estimators of the proposed measures are introduced and their properties are investigated. Performance of this estimator is evaluated by means of bias and mean squared error using Monte-Carlo simulations.

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Cite

BibTeXRIS
BibTeX
@misc{das2026weighted,
  title = {{On Weighted Mathai-Haubold Entropy Measures}},
  author = {Oindrali Das and Siddhartha Chakraborty},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08889},
  eprint = {2609.08889},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08889},
}
RIS
TY  - UNPB
TI  - On Weighted Mathai-Haubold Entropy Measures
AU  - Oindrali Das
AU  - Siddhartha Chakraborty
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08889
UR  - https://arxiv.org/abs/2609.08889
AB  - In this paper, we propose weighted Mathai-Haubold entropy along with their residual and past versions and study their properties. We develop aging classes based on the weighted Mathai-Haubold residual and past entropy measures. Also, some inequalities related to the three proposed measures are discussed. Non-parametric estimators of the proposed measures are introduced and their properties are investigated. Performance of this estimator is evaluated by means of bias and mean squared error using Monte-Carlo simulations.
ER  -