Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censoring
In this paper, we propose a new type censoring scheme named a generalized adaptive progressive hybrid censoring scheme (GenAdPrHyCS). In this new type censoring scheme, the experiment is assured to stop at a pre-assigned time. This censoring scheme is designed to correct the drawbacks in the AdPrHyC...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/7/1149 |
| _version_ | 1797562923987501056 |
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| author | Hyojin Lee Kyeongjun Lee |
| author_facet | Hyojin Lee Kyeongjun Lee |
| author_sort | Hyojin Lee |
| collection | DOAJ |
| description | In this paper, we propose a new type censoring scheme named a generalized adaptive progressive hybrid censoring scheme (GenAdPrHyCS). In this new type censoring scheme, the experiment is assured to stop at a pre-assigned time. This censoring scheme is designed to correct the drawbacks in the AdPrHyCS. Furthermore, we discuss inference for one parameter exponential distribution (ExD) under GenAdPrHyCS. We derive the moment generating function of the maximum likelihood estimator (MLE) of scale parameter of ExD and the resulting lower confidence bound under GenAdPrHyCS. |
| first_indexed | 2024-03-10T18:35:30Z |
| format | Article |
| id | doaj.art-5636c6f9461645b3ab3605d4d305ad8c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T18:35:30Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-5636c6f9461645b3ab3605d4d305ad8c2023-11-20T06:16:32ZengMDPI AGSymmetry2073-89942020-07-01127114910.3390/sym12071149Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid CensoringHyojin Lee0Kyeongjun Lee1HR Strategy Team, Hyundai Motor Company, Seoul 06797, KoreaDivision of Mathematics and Big Data Science, Daegu University, Gyeongsan 38453, KoreaIn this paper, we propose a new type censoring scheme named a generalized adaptive progressive hybrid censoring scheme (GenAdPrHyCS). In this new type censoring scheme, the experiment is assured to stop at a pre-assigned time. This censoring scheme is designed to correct the drawbacks in the AdPrHyCS. Furthermore, we discuss inference for one parameter exponential distribution (ExD) under GenAdPrHyCS. We derive the moment generating function of the maximum likelihood estimator (MLE) of scale parameter of ExD and the resulting lower confidence bound under GenAdPrHyCS.https://www.mdpi.com/2073-8994/12/7/1149adaptive progressive hybrid censoringexact likelihood inferencegeneralized adaptive progressive hybrid censoring schememoment generating function |
| spellingShingle | Hyojin Lee Kyeongjun Lee Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censoring Symmetry adaptive progressive hybrid censoring exact likelihood inference generalized adaptive progressive hybrid censoring scheme moment generating function |
| title | Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censoring |
| title_full | Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censoring |
| title_fullStr | Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censoring |
| title_full_unstemmed | Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censoring |
| title_short | Exact Likelihood Inference for an Exponential Parameter under Generalized Adaptive Progressive Hybrid Censoring |
| title_sort | exact likelihood inference for an exponential parameter under generalized adaptive progressive hybrid censoring |
| topic | adaptive progressive hybrid censoring exact likelihood inference generalized adaptive progressive hybrid censoring scheme moment generating function |
| url | https://www.mdpi.com/2073-8994/12/7/1149 |
| work_keys_str_mv | AT hyojinlee exactlikelihoodinferenceforanexponentialparameterundergeneralizedadaptiveprogressivehybridcensoring AT kyeongjunlee exactlikelihoodinferenceforanexponentialparameterundergeneralizedadaptiveprogressivehybridcensoring |