Harris Extended Inverted Lindley Distribution: Properties and Application to Non-Monotonic Hazard Rate Data
- 1Department of Statistics, Govt. Arts and Science College, Calicut, Kerala, India
Abstract
This paper introduces and thoroughly explores a novel three-parameter lifetime distribution known as the Harris extended inverted Lindley distribution. Born from a blend of the established inverted Lindley and Harris distributions rooted in a branching process, this new model provides enhanced flexibility for analyzing upside down bathtub shaped lifetime data. We derive several key statistical properties explicitly, including the density and hazard rate functions along with their behaviors, ordinary and incomplete moments, measures of skewness and kurtosis, moment-generating functions, and the quantile function. To estimate parameters, we apply various methods such as maximum likelihood estimation, least squares estimation, weighted least squares estimation, and Cramér–von Mises estimation, while also computing associated confidence intervals. Additionally, we quantify the model’s uncertainty using different entropy measures. A simulation study evaluates the performance of these estimators, and finally, we demonstrate the model’s superiority by applying it to two real-world datasets.
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BibTeX
@article{bengalath2026harris,
title = {{Harris Extended Inverted Lindley Distribution: Properties and Application to Non-Monotonic Hazard Rate Data}},
author = {Jabir Bengalath and Bindu Punathumparambath},
journal = {Reliability: Theory \& Applications},
year = {2026},
month = jun,
doi = {10.66721/ge50km74},
url = {https://doi.org/10.66721/ge50km74},
note = {CC BY-NC},
}
RIS
TY - JOUR
TI - Harris Extended Inverted Lindley Distribution: Properties and Application to Non-Monotonic Hazard Rate Data
AU - Jabir Bengalath
AU - Bindu Punathumparambath
PY - 2026
DA - 2026/06/01
JO - Reliability: Theory & Applications
DO - 10.66721/ge50km74
UR - https://doi.org/10.66721/ge50km74
AB - This paper introduces and thoroughly explores a novel three-parameter lifetime distribution known as the Harris extended inverted Lindley distribution. Born from a blend of the established inverted Lindley and Harris distributions rooted in a branching process, this new model provides enhanced flexibility for analyzing upside down bathtub shaped lifetime data. We derive several key statistical properties explicitly, including the density and hazard rate functions along with their behaviors, ordinary and incomplete moments, measures of skewness and kurtosis, moment-generating functions, and the quantile function. To estimate parameters, we apply various methods such as maximum likelihood estimation, least squares estimation, weighted least squares estimation, and Cramér–von Mises estimation, while also computing associated confidence intervals. Additionally, we quantify the model’s uncertainty using different entropy measures. A simulation study evaluates the performance of these estimators, and finally, we demonstrate the model’s superiority by applying it to two real-world datasets.
SN - 1932-2321
ER -