# New Modified Generalized Inverted Exponential Distribution and Its Applications

## TL;DR

This paper introduces a new statistical distribution with three parameters and demonstrates its usefulness through simulations and real data applications.

## Contribution

The novel contribution is the proposal of the New Modified Generalized Inverted Exponential Distribution and its statistical properties.

## Key findings

- The MGIE distribution's statistical properties, such as moments and reliability functions, are derived.
- Maximum likelihood estimators for the parameters are developed and validated through simulation.
- The distribution is shown to fit real data sets effectively.

## Abstract

In this paper, a statistical model with three parameters is proposed which is called New Modified Generalized Inverted Exponential Distribution (MGIE). In addition, several statistical characteristics of the MGIE distribution are obtained, including quantile function, median, moments, mode, mean deviation, harmonic mean, reliability, hazard and odds functions and Rényi entropy. Moreover, the estimators of parameters are found using the maximum likelihood estimation method. A simulation study using the Monte Carlo method is performed to assess the behavior of the parameters. Finally, three real data sets are applied to demonstrate the importance of the proposed distribution.