Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme-Reference-Cited by-同舟云学术

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

Published:2020-09-07 Issue: Volume:2020 Page:1-7
ISSN:1687-952X
Container-title:Journal of Probability and Statistics
language:en
Short-container-title:Journal of Probability and Statistics

Author:

Lee Kyeongjun¹,Seo Jung-In²^ORCID

Affiliation:

1. Division of Mathematics and Big Data Science, Daegu University, No. 201, Daegudae-ro, Gyeongsan-si, Republic of Korea

2. Division of Convergence Education, Halla University, No. 28, Halladae-gil, Wonju-si, Republic of Korea

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.

Funder

Ministry of Education

Publisher

Hindawi Limited

Subject

Statistics and Probability

Link

http://downloads.hindawi.com/journals/jps/2020/3541946.pdf

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