Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring
In a life testing experiments, accelerated life tests (ALTs) model has provided a significant decrease for the cost and time. The problem of statistical inference of constant-stress ALTs based on censored data is discussed in this paper. So, we implement partially constant-stress ALTs model to test...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-07-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821007067 |
| _version_ | 1828315744447758336 |
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| author | Saad J. Almalki Al-Wageh A. Farghal Manoj K. Rastogi Gamal. A. Abd-Elmougod |
| author_facet | Saad J. Almalki Al-Wageh A. Farghal Manoj K. Rastogi Gamal. A. Abd-Elmougod |
| author_sort | Saad J. Almalki |
| collection | DOAJ |
| description | In a life testing experiments, accelerated life tests (ALTs) model has provided a significant decrease for the cost and time. The problem of statistical inference of constant-stress ALTs based on censored data is discussed in this paper. So, we implement partially constant-stress ALTs model to test units have two parameter Kumaraswamy lifetime population under adaptive Type-II progressive censoring scheme. The population parameters as well as acceleration factor are estimated by using maximum likelihood method for point and interval estimation. Two different confidence intervals are obtained under bootstrap technique. Also, Bayesian approach under different loss functions is used to contract the point and interval estimates of the model parameters with the help of Markov chain Monte Carlo method (MCMC). For illustrative purpose a simulate data set are analyzed. Different developed results discussed in this paper are compared through Monte Carlo simulation study. |
| first_indexed | 2024-04-13T17:04:23Z |
| format | Article |
| id | doaj.art-884560f2c72c41a7ac890e3f554cbfb7 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-13T17:04:23Z |
| publishDate | 2022-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-884560f2c72c41a7ac890e3f554cbfb72022-12-22T02:38:32ZengElsevierAlexandria Engineering Journal1110-01682022-07-0161751335143Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoringSaad J. Almalki0Al-Wageh A. Farghal1Manoj K. Rastogi2Gamal. A. Abd-Elmougod3Mathematics Department, Faculty of Science Taif University, Taif, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptDepartment of Statistics, Patna University, Patna, Bihar, IndiaMathematics Department, Faculty of Science, Damanhour University, Damanhour, Egypt; Corresponding author.In a life testing experiments, accelerated life tests (ALTs) model has provided a significant decrease for the cost and time. The problem of statistical inference of constant-stress ALTs based on censored data is discussed in this paper. So, we implement partially constant-stress ALTs model to test units have two parameter Kumaraswamy lifetime population under adaptive Type-II progressive censoring scheme. The population parameters as well as acceleration factor are estimated by using maximum likelihood method for point and interval estimation. Two different confidence intervals are obtained under bootstrap technique. Also, Bayesian approach under different loss functions is used to contract the point and interval estimates of the model parameters with the help of Markov chain Monte Carlo method (MCMC). For illustrative purpose a simulate data set are analyzed. Different developed results discussed in this paper are compared through Monte Carlo simulation study.http://www.sciencedirect.com/science/article/pii/S1110016821007067Kumaraswamy distributionAccelerated life testsAdaptive Type-II progressive censoringMaximum-likelihood estimationBayesian estimationMCMC |
| spellingShingle | Saad J. Almalki Al-Wageh A. Farghal Manoj K. Rastogi Gamal. A. Abd-Elmougod Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring Alexandria Engineering Journal Kumaraswamy distribution Accelerated life tests Adaptive Type-II progressive censoring Maximum-likelihood estimation Bayesian estimation MCMC |
| title | Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring |
| title_full | Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring |
| title_fullStr | Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring |
| title_full_unstemmed | Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring |
| title_short | Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring |
| title_sort | partially constant stress accelerated life tests model for parameters estimation of kumaraswamy distribution under adaptive type ii progressive censoring |
| topic | Kumaraswamy distribution Accelerated life tests Adaptive Type-II progressive censoring Maximum-likelihood estimation Bayesian estimation MCMC |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821007067 |
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