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

Kyeongjun Lee, Jung-In Seo and Alessandro De Gregorio

Journal of Probability and Statistics, 2020, vol. 2020, 1-7

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:3541946

DOI: 10.1155/2020/3541946

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