Preprint Article Version 1 This version is not peer-reviewed

A New One Parameter Unit Distribution: Median Based Unit Rayleigh (Mbur): Parametric Quantile Regression Model

Version 1 : Received: 18 October 2024 / Approved: 19 October 2024 / Online: 21 October 2024 (11:53:12 CEST)

How to cite: Attia, I. A New One Parameter Unit Distribution: Median Based Unit Rayleigh (Mbur): Parametric Quantile Regression Model. Preprints 2024, 2024101554. https://doi.org/10.20944/preprints202410.1554.v1 Attia, I. A New One Parameter Unit Distribution: Median Based Unit Rayleigh (Mbur): Parametric Quantile Regression Model. Preprints 2024, 2024101554. https://doi.org/10.20944/preprints202410.1554.v1

Abstract

Parametric quantile regression is illustrated for the one parameter new unit Rayleigh distribution called Median Based Unit Rayleigh distribution (MBUR) distribution. The estimation process using re-parameterized maximum likelihood function is highlighted with real dataset example. The inference and goodness of fit is also explored.

Keywords

Parametric Quantile Regression Models; Median Based Unit Rayleigh (MBUR) distribution; one parameter new unit distribution; Leverberg-Marquardt algorithm; MLE

Subject

Computer Science and Mathematics, Probability and Statistics

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