A new two parameter lifetime distribution: model and properties

TL;DR

This paper introduces the Lindley-geometric distribution, a new lifetime model derived from Lindley and geometric distributions, with properties, estimation methods, and real data applications.

Contribution

It presents a novel two-parameter lifetime distribution with derived properties and estimation techniques, expanding modeling options in survival and reliability analysis.

Findings

Distribution has well-defined density and failure rate functions.

Maximum likelihood estimation is feasible for parameter inference.

Application to real data demonstrates model's practical utility.

Abstract

In this paper a new lifetime distribution which is obtained by compounding Lindley and geometric distributions, named Lindley-geometric (LG) distribution, is introduced. Several properties of the new distribution such as density, failure rate, mean lifetime, moments, and order statistics are derived. Furthermore, estimation by maximum likelihood and inference for large sample are discussed. The paper is motivated by two applications to real data sets and we hope that this model be able to attract wider applicability in survival and reliability.