Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme
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 estimato...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2020/3541946 |
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| _version_ | 1832556911200829440 |
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| author | Kyeongjun Lee Jung-In Seo |
| author_facet | Kyeongjun Lee Jung-In Seo |
| author_sort | Kyeongjun Lee |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b2906f4305994f5da23219766451529d |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-b2906f4305994f5da23219766451529d2025-02-03T05:44:11ZengWileyJournal of Probability and Statistics1687-952X1687-95382020-01-01202010.1155/2020/35419463541946Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring SchemeKyeongjun Lee0Jung-In Seo1Division of Mathematics and Big Data Science, Daegu University, No. 201, Daegudae-ro, Gyeongsan-si, Republic of KoreaDivision of Convergence Education, Halla University, No. 28, Halladae-gil, Wonju-si, Republic of KoreaThis 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.http://dx.doi.org/10.1155/2020/3541946 |
| spellingShingle | Kyeongjun Lee Jung-In Seo Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme Journal of Probability and Statistics |
| title | Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme |
| title_full | Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme |
| title_fullStr | Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme |
| title_full_unstemmed | Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme |
| title_short | Different Approaches to Estimation of the Gompertz Distribution under the Progressive Type-II Censoring Scheme |
| title_sort | different approaches to estimation of the gompertz distribution under the progressive type ii censoring scheme |
| url | http://dx.doi.org/10.1155/2020/3541946 |
| work_keys_str_mv | AT kyeongjunlee differentapproachestoestimationofthegompertzdistributionundertheprogressivetypeiicensoringscheme AT junginseo differentapproachestoestimationofthegompertzdistributionundertheprogressivetypeiicensoringscheme |