Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential Data
In many situations of survival and reliability test, the withdrawal of units from the test is pre-planned in order to to free up testing facilities for other tests, or to save cost and time. It is known that several risk factors (RiFs) compete for the immediate failure cause of items. In this paper,...
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MDPI AG
2021-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/5/887 |
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doaj-f7e6f728beda472b8952c8598cb600962021-06-01T00:16:15ZengMDPI AGSymmetry2073-89942021-05-011388788710.3390/sym13050887Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential DataSubin Cho0Kyeongjun Lee1Department of Statistics, Daegu University, Gyeongsan 38453, KoreaDivision of Mathematics and Big Data Science, Daegu University, Gyeongsan 38453, KoreaIn many situations of survival and reliability test, the withdrawal of units from the test is pre-planned in order to to free up testing facilities for other tests, or to save cost and time. It is known that several risk factors (RiFs) compete for the immediate failure cause of items. In this paper, we derive an inference for a competing risks model (CompRiM) with a generalized type II progressive hybrid censoring scheme (GeTy2PrHCS). We derive the conditional moment generating functions (CondMgfs), distributions and confidence interval (ConfI) of the scale parameters of exponential distribution (ExDist) under GeTy2PrHCS with CompRiM. A real data set is analysed to illustrate the validity of the method developed here. From the data, it can be seen that the conditional PDFs of MLEs is almost symmetrical.https://www.mdpi.com/2073-8994/13/5/887competing risks modelconfidence intervalmoment generating functiongeneralized type II progressive hybrid censoring |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Subin Cho Kyeongjun Lee |
| spellingShingle |
Subin Cho Kyeongjun Lee Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential Data Symmetry competing risks model confidence interval moment generating function generalized type II progressive hybrid censoring |
| author_facet |
Subin Cho Kyeongjun Lee |
| author_sort |
Subin Cho |
| title |
Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential Data |
| title_short |
Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential Data |
| title_full |
Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential Data |
| title_fullStr |
Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential Data |
| title_full_unstemmed |
Exact Likelihood Inference for a Competing Risks Model with Generalized Type II Progressive Hybrid Censored Exponential Data |
| title_sort |
exact likelihood inference for a competing risks model with generalized type ii progressive hybrid censored exponential data |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2021-05-01 |
| description |
In many situations of survival and reliability test, the withdrawal of units from the test is pre-planned in order to to free up testing facilities for other tests, or to save cost and time. It is known that several risk factors (RiFs) compete for the immediate failure cause of items. In this paper, we derive an inference for a competing risks model (CompRiM) with a generalized type II progressive hybrid censoring scheme (GeTy2PrHCS). We derive the conditional moment generating functions (CondMgfs), distributions and confidence interval (ConfI) of the scale parameters of exponential distribution (ExDist) under GeTy2PrHCS with CompRiM. A real data set is analysed to illustrate the validity of the method developed here. From the data, it can be seen that the conditional PDFs of MLEs is almost symmetrical. |
| topic |
competing risks model confidence interval moment generating function generalized type II progressive hybrid censoring |
| url |
https://www.mdpi.com/2073-8994/13/5/887 |
| work_keys_str_mv |
AT subincho exactlikelihoodinferenceforacompetingrisksmodelwithgeneralizedtypeiiprogressivehybridcensoredexponentialdata AT kyeongjunlee exactlikelihoodinferenceforacompetingrisksmodelwithgeneralizedtypeiiprogressivehybridcensoredexponentialdata |
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1721415395436396544 |