On Inference of Weitzman Overlapping Coefficient in Two Weibull Distributions

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Eidous, Omar, Maqableh, Hala
Format: Preprint
Published: 2024
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866929487150579712
author Eidous, Omar
Maqableh, Hala
author_facet Eidous, Omar
Maqableh, Hala
contents Studying overlapping coefficients has recently become of great benefit, especially after its use in goodness-of-fit tests. These coefficients are defined as the amount of similarity between two statistical distributions. This research examines the estimation of one of these overlapping coefficients, which is the Weitzman coefficient Δ, assuming two Weibull distributions and without using any restrictions on the parameters of these distributions. We studied the relative bias and relative mean square error of the resulting estimator by implementing a simulation study. The results show the importance of the resulting estimator.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02950
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Inference of Weitzman Overlapping Coefficient in Two Weibull Distributions
Eidous, Omar
Maqableh, Hala
Methodology
Studying overlapping coefficients has recently become of great benefit, especially after its use in goodness-of-fit tests. These coefficients are defined as the amount of similarity between two statistical distributions. This research examines the estimation of one of these overlapping coefficients, which is the Weitzman coefficient Δ, assuming two Weibull distributions and without using any restrictions on the parameters of these distributions. We studied the relative bias and relative mean square error of the resulting estimator by implementing a simulation study. The results show the importance of the resulting estimator.
title On Inference of Weitzman Overlapping Coefficient in Two Weibull Distributions
topic Methodology
url https://arxiv.org/abs/2409.02950