کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10997876 1341571 2019 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reliability estimation of stress-strength model using finite mixture distributions under progressively interval censoring
ترجمه فارسی عنوان
برآورد پایایی از مدل استرس - استحکام با استفاده از توزیع مخلوط محدود در سانسور به طور مداوم فاصله
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
This paper considers the reliability estimation of the stress-strength model based on progressively Type-I interval censored data, where the random stress variable follows a Lindley distribution and the random strength variable follows a finite mixture of exponential distributions. The maximum likelihood estimation and 95% confidence interval estimation of the stress-strength reliability are deduced by using EM algorithm and Bootstrap sampling, respectively. The Bayesian estimation and 95% highest posterior density credible interval of the stress-strength reliability under squared error loss function are obtained by using the Metropolis-Hastings within Gibbs algorithm. To test the homogeneity of the finite mixture distributions, the D-test statistic is introduced. Then, we use the D-test statistic to test the homogeneity of a real data, compare the finite mixture exponential distributions with a single exponential distribution by using the Akaike information criterion (AIC) values, and analyze this data using the proposed methodology. Finally, Monte Carlo simulations are performed for illustrative purpose.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 348, 1 March 2019, Pages 509-524
نویسندگان
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