Advanced Mathematical Models & Applications

ISSN Online: 2519-4445

Advanced Mathematical Models & Applications is a peer-reviewed, open access journal meant to publish original and significant results and articles in all areas of mathematical modeling and their applications. The aim of this Journal is to bring together researchers and practitioners from academia and industry to establishing new collaborations in this area. The Journal will consider for publication also review articles, literature reviews, correspondence concerning views and information published in previous issues.

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Parameter Estimation of the Farlie Gumbel Morgenstern Bivariate Weibull Distribution via Bivariate Ranked Set Sampling with an Application to Breast Cancer Data

Published: 01-04-2026

https://doi.org/10.62476/amma11161

Abstract

This study utilizes the bivariate ranked set sampling (BVRSS) design to estimate the parameters of Farlie-Gumbel-Morgenstern bivariate Weibull (FGMBW) distribution. Through Monte Carlo simulation studies, we compare the performance of the proposed rank-based estimators with those based on simple random sampling (SRS) counterparts based on the same number of measured units. Our results demonstrate that the additional rank information in the BVRSS samples leads to more efficient estimators for the same parameters. To demonstrate the applicability of the proposed methodology, it is applied to a breast cancer dataset to diagnose malignant and benign tumors, illustrating its practical value in medical decision-making.