Year: 2025
Type: article
Abstract: This article introduces a new lifetime distribution with an original probability density function that is governed by two parameters. This distribution can be considered a modification of the exponential distribution. A theoretical investigation of its main properties is conducted, and key functions are derived, including the cumulative distribution function, the hazard rate function and the quantile function. Notably, we find that the hazard rate function decreases. We also carry out a moment study focusing on the mean and variance. Finally, we outline possible extensions to three-parameter versions of the distribution.
Source: Selcuk Journal of Science
DOI: 10.63673/sjs.1820399
Author: Christophe Chesneau
Institution: Université de Caen Normandie
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4416848171
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