Different approaches to estimation of the Gompertz distribution under the progressive type-II censoring scheme
type: Item
instance of: scholarly article
title: Different approaches to estimation of the Gompertz distribution under the progressive type-II censoring scheme
zbMATH Open document ID: 1468.62358
DOI: 10.1155/2020/3541946
author: Kyeongjun Lee
author: Jung-In Seo
published in: Journal of Probability and Statistics
publication date: 2021-07-02T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 62N01
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 62P10
zbMATH DE Number: 7367010
zbMATH Keywords: progressive type-II censoring scheme
zbMATH Keywords: Gompertz distribution
zbMATH Keywords: tumor-free time
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/3541946
OpenAlex ID: W3083803548
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description: scientific article; zbMATH DE number 7367010