# Log-Lindley generated family of distributions

## TL;DR

This paper introduces the Log-Lindley generated family of distributions, a new flexible univariate continuous distribution with two parameters, exploring its properties and demonstrating its application with real data.

## Contribution

It presents a novel distribution generator with mathematical properties and estimation methods, expanding the toolkit for statistical modeling.

## Key findings

- New distribution family with two parameters introduced
- Mathematical properties of the family are studied
- Real data application demonstrates potential

## Abstract

A new generator of univariate continuous distributions, with two additional parameters, called the Log-Lindley generated family is introduced. Some special distributions in the new family are presented. Some mathematical properties of the new family are studied. The maximum likelihood method to estimate model parameters is employed. The potentiality of the new generator is illustrated using a real data set.