Résumé:
This paper aims to study a modified Lindley
distribution with a simple one‐parameter defined
using an exponential fitting function which depends
on only one parameter. Its main properties are
investigated, with emphasis on moments, reliability
parameter and asymptotic distributions of extreme
order statistics. Then, the associated parametric
model is considered. Parameter estimation is
performed using the method of moments and
maximum likelihood. Practical applications are given,
demonstrating that the proposed model is suitable for
fitting such data