دورية أكاديمية
Estimation of the Rayleigh Distribution under Unified Hybrid Censoring
العنوان: | Estimation of the Rayleigh Distribution under Unified Hybrid Censoring |
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المؤلفون: | Young Eun Jeon, Suk-Bok Kang |
المصدر: | Austrian Journal of Statistics, Vol 50, Iss 1 (2021) |
بيانات النشر: | Austrian Statistical Society, 2021. |
سنة النشر: | 2021 |
المجموعة: | LCC:Probabilities. Mathematical statistics LCC:Statistics |
مصطلحات موضوعية: | Probabilities. Mathematical statistics, QA273-280, Statistics, HA1-4737 |
الوصف: | We derive some estimators of the scale parameter of the Rayleigh distribution under the unified hybrid censoring scheme. We also derive some estimators of the reliability function and the entropy of the Rayleigh distribution. First, we obtain the maximum likelihood estimator of the scale parameter. Second, we obtain the Bayes estimator using the mean of the posterior distribution. Lastly, we obtain the Bayes estimator using the mode of the posterior distribution. We also derive the interval estimation (confidence interval, credible interval, and HPD credible interval) for the scale parameter under the unified hybrid censoring scheme. We compare the proposed estimators in the sense of the mean squared error through Monte Carlo simulation. Coverage probability and average lengths of 95 % and 90% intervals are obtained. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 1026-597X |
Relation: | http://www.ajs.or.at/index.php/ajs/article/view/990; https://doaj.org/toc/1026-597X |
DOI: | 10.17713/ajs.v50i1.990 |
URL الوصول: | https://doaj.org/article/59323bb7b2164e28b0d02318a464bd91 |
رقم الأكسشن: | edsdoj.59323bb7b2164e28b0d02318a464bd91 |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 1026597X |
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DOI: | 10.17713/ajs.v50i1.990 |