A Novel Unit Distribution Named As Median Based Unit Rayleigh (MBUR): Properties and Estimations

TL;DR

This paper introduces the Median Based Unit Rayleigh (MBUR) distribution, exploring its properties, estimation methods, and demonstrating its applicability through simulations and real data analysis.

Contribution

The paper proposes a new distribution on (0,1), detailing its properties, derivation, and demonstrating its usefulness with empirical data.

Findings

Properties and functions of MBUR distribution analyzed

Simulation studies validate estimation methods

Real data application confirms practical relevance

Abstract

The importance of continuously emerging new distribution is a mandate to understand the world and environment surrounding us. In this paper, the author will discuss a new distribution defined on the interval (0,1) as regards the methodology of deducing its PDF, some of its properties and related functions. A simulation and real data analysis will be highlighted.