Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-09-07 DOI:10.1155/2020/3541946

Kyeongjun Lee, J. Seo

引用次数: 4

Abstract

This paper provides an estimation method for an unknown parameter by extending weighted least-squared and pivot-based methods to the Gompertz distribution with the shape and scale parameters under the progressive Type-II censoring scheme, which induces a consistent estimator and an unbiased estimator of the scale parameter. In addition, a way to deal with a nuisance parameter is provided in the pivot-based approach. For evaluation and comparison, the Monte Carlo simulations are conducted, and real data are analyzed.

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渐进式ii型滤波方案下Gompertz分布估计的不同方法

本文在渐进II型截尾方案下，将加权最小二乘法和基于枢轴的方法推广到具有形状和尺度参数的Gompertz分布，给出了一种未知参数的估计方法，该方法导出了尺度参数的一致估计量和无偏估计量。此外，在基于枢轴的方法中提供了一种处理干扰参数的方法。为了进行评估和比较，进行了蒙特卡洛模拟，并对实际数据进行了分析。

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.