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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 2

Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples

Neriman Akdam
İsmail Kınacı
Bugra Saracoglu
Pages
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Publication Date
2017-04-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, real data analysis is presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Suppose that X represents the stress which is applied to a component and Y is strength of this component.
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Key Findings & Data:Let X and Y have Exponential Power (EP) distribution with $(\alpha_1,\beta_1)$ and $(\alpha_2,\beta_2)$ parameters, respectively.&nbsp;In this case, stress-strength reliability (SSR) is shown by $P=P(X<Y)$.
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Conclusion & Impact:Finally, real data analysis is presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Maximum likelihood estimation · Bayes estimation · Exponential Power distribution

Abstract

Suppose that X represents the stress which is applied to a component and Y is strength of this component. Let X and Y have Exponential Power (EP) distribution with $(\alpha_1,\beta_1)$ and $(\alpha_2,\beta_2)$ parameters, respectively.&nbsp;In this case, stress-strength reliability (SSR) is shown by $P=P(X<Y)$. In this study, the SSR for EP distribution are obtained with numerical methods. Also maximum likelihood estimate (MLE) and approximate bayes estimates by using Lindley approximation method under squared-error loss function for SSR under progressive type-II censoring are obtained. Moreover, performances of these estimators are compared in terms of MSEs by using Monte Carlo simulation. Furthermore coverage probabilities of parametric bootstrap estimates are computed. Finally, real data analysis is presented.

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Cite This Article

Akdam, N., Kınacı, İ., Saracoglu, B. (2017). Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 2. https://ajindex.com/articles/1403050

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