Proxy Variable in OECD Database: Application of Parametric Quantile Regression and Median Based Unit Rayleigh Distribution

TL;DR

This paper introduces the Median-based unit Rayleigh (MBUR) distribution for quantile regression, demonstrating its application to OECD data and highlighting its potential to connect advanced statistical theory with practical data analysis.

Contribution

The paper develops and applies the MBUR distribution for quantile regression, providing a novel approach for analyzing real-world data with a new distribution model.

Findings

MBUR distribution effectively models OECD data

Parametric quantile regression with MBUR is feasible

MBUR links statistical theory with practical data analysis

Abstract

This paper presents an in-depth exploration of the innovative Median-based unit Rayleigh (MBUR) distribution, previously introduced by the author. This new approach is specifically designed for conducting quantile regression analysis, enabling researchers to gain valuable insights into real-world data applications. The author effectively demonstrates the feasible advantage of the MBUR distribution, highlighting its potential to connect advanced statistical theory with meaningful results in data analysis. The author utilized OECD data in employing the parametric MBUR quantile regression using the response variables which are distributed as MBUR.