Estimation based on Ranked Set Sampling for Farlie--Gumbel--Morgenstern Bivariate Weibull Distribution Parameters with an application to medical data

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-06 DOI:10.18187/pjsor.v19i4.4435

A. Hanandeh, Amer Al-omari

引用次数: 0

Abstract

In this article, we address the problem of estimating the parameters of Farlie-Gumbel-Morgenstern bivariate Weibull distribution using ranked set sample (RSS) design. The suggested estimators of the FGMBW distribution parameters are compared with their counterparts based on simple random sampling (SRS) via Monte Carlo simulations studies. An example of a real data set consists of times (in days) to the first and second recurrence of infection for 30 kidney patients is considered for illustration. It turns out that the RSS estimators results in an improvement in efficiency as compared to the simple random sampling estimators based on the same number of measured units for all cases considered in this study.

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基于排序集合采样的 Farlie-Gumbel-Morgenstern 双变量 Weibull 分布参数估计及其在医疗数据中的应用

在本文中，我们解决了用排序集样本(RSS)设计估计法利-甘贝尔-摩根斯坦二元威布尔分布参数的问题。通过蒙特卡罗仿真研究，将所提出的FGMBW分布参数估计与基于简单随机抽样(SRS)的估计进行了比较。一个真实数据集的例子，包括30例肾脏患者第一次和第二次感染复发的时间(以天为单位)。事实证明，在本研究中考虑的所有情况下，与基于相同数量的测量单元的简单随机抽样估计器相比，RSS估计器的效率有所提高。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.