The Topp-Leone XLindley Distribution: Properties, Estimation and Applications to Lifetime Data

@misc{saileshwari2026toppleone,
  title = {{The Topp-Leone XLindley Distribution: Properties, Estimation and Applications to Lifetime Data}},
  author = {Saileshwari M and Rajesh Moharana and Kousik Maiti},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08059},
  eprint = {2610.08059},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08059},
}

TY  - UNPB
TI  - The Topp-Leone XLindley Distribution: Properties, Estimation and Applications to Lifetime Data
AU  - Saileshwari M
AU  - Rajesh Moharana
AU  - Kousik Maiti
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08059
UR  - https://arxiv.org/abs/2610.08059
AB  - In this article, we use a family of distributions developed by Topp-Leone to create a novel lifetime two-parameter distribution. The Topp-Leone XLindley distribution is the name used for it. We study several types of statistical and mathematical characteristics of this distribution, such as reliability functions, moments, moment-generating function, quantile function, and the Renyi entropy. For the purpose of estimating parameters under the proposed distribution model, this simulation study is conducted to evaluate the performance of the maximum likelihood estimates for the parameters of the Topp-Leone XLindley distribution. A comprehensive simulation investigation is carried out to evaluate the performance of the proposed methods. Furthermore, a practical data set of bank customer waiting times has been investigated for the purpose of illustration.
ER  -