Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients
In this paper, the problem of estimating the parameter of Akash distribution applied when the lifetime of the product follow Type-Ⅱ censoring. The maximum likelihood estimators (MLE) are studied for estimating the unknown parameter and reliability characteristics. Approximate confidence interval for...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021627?viewType=HTML |
| _version_ | 1818359003721236480 |
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| author | Tahani A. Abushal |
| author_facet | Tahani A. Abushal |
| author_sort | Tahani A. Abushal |
| collection | DOAJ |
| description | In this paper, the problem of estimating the parameter of Akash distribution applied when the lifetime of the product follow Type-Ⅱ censoring. The maximum likelihood estimators (MLE) are studied for estimating the unknown parameter and reliability characteristics. Approximate confidence interval for the parameter is derived under the s-normal approach to the asymptotic distribution of MLE. The Bayesian inference procedures have been developed under the usual error loss function through Lindley's technique and Metropolis-Hastings algorithm. The highest posterior density interval is developed by using Metropolis-Hastings algorithm. Finally, the performances of the different methods have been compared through a Monte Carlo simulation study. The application to set of real data is also analyzed using proposed methods. |
| first_indexed | 2024-12-13T20:37:59Z |
| format | Article |
| id | doaj.art-3b7d8778dde64d5d992a44ae03cb524b |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T20:37:59Z |
| publishDate | 2021-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3b7d8778dde64d5d992a44ae03cb524b2022-12-21T23:32:14ZengAIMS PressAIMS Mathematics2473-69882021-07-01610107891080110.3934/math.2021627Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patientsTahani A. Abushal0Department of Mathematical Sinces, Umm AL-Qura University, Makkah Al Mukarramah, 715, Saudi ArabiaIn this paper, the problem of estimating the parameter of Akash distribution applied when the lifetime of the product follow Type-Ⅱ censoring. The maximum likelihood estimators (MLE) are studied for estimating the unknown parameter and reliability characteristics. Approximate confidence interval for the parameter is derived under the s-normal approach to the asymptotic distribution of MLE. The Bayesian inference procedures have been developed under the usual error loss function through Lindley's technique and Metropolis-Hastings algorithm. The highest posterior density interval is developed by using Metropolis-Hastings algorithm. Finally, the performances of the different methods have been compared through a Monte Carlo simulation study. The application to set of real data is also analyzed using proposed methods.https://www.aimspress.com/article/doi/10.3934/math.2021627?viewType=HTMLakash distributionbayes estimatorsmlesmetropolis-hastings algorithmtype-ⅱ censoring |
| spellingShingle | Tahani A. Abushal Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients AIMS Mathematics akash distribution bayes estimators mles metropolis-hastings algorithm type-ⅱ censoring |
| title | Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients |
| title_full | Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients |
| title_fullStr | Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients |
| title_full_unstemmed | Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients |
| title_short | Parametric inference of Akash distribution for Type-Ⅱ censoring with analyzing of relief times of patients |
| title_sort | parametric inference of akash distribution for type ii censoring with analyzing of relief times of patients |
| topic | akash distribution bayes estimators mles metropolis-hastings algorithm type-ⅱ censoring |
| url | https://www.aimspress.com/article/doi/10.3934/math.2021627?viewType=HTML |
| work_keys_str_mv | AT tahaniaabushal parametricinferenceofakashdistributionfortypeiicensoringwithanalyzingofrelieftimesofpatients |