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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 4

Estimation of stress-strength probability in a multicomponent model based on geometric distribution

Milan Jovanovıć(University of Belgrade)0000-0001-5512-0956
Bojana Milošević(University of Belgrade)0000-0001-8243-9794
Marko Obradović(University of Belgrade)0000-0002-6826-3232
Sayfa
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Yayın Tarihi
2020-08-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the methods are applied to real data examples from climatology and sport.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the estimation of the stress-strength probability in a multicomponent model, in the case when all components follow the geometric distribution, is studied.
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Temel Bulgular & Veri:A simulation study is performed in order to compare the performance of various estimators.
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Sonuç & Katkı:Finally, the methods are applied to real data examples from climatology and sport.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Multicomponent stress-strength · reliability · geometric distribution

Abstract

In this paper, the estimation of the stress-strength probability in a multicomponent model, in the case when all components follow the geometric distribution, is studied. This is the first time that multicomponent models with discrete probability distributions are considered. The MLE, UMVUE and Bayes point estimator, as well as asymptotic and bootstrap confidence intervals are presented. A simulation study is performed in order to compare the performance of various estimators. Finally, the methods are applied to real data examples from climatology and sport.

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Bu Makaleye Atıf Yap

Jovanovıć, M., Milošević, B., Obradović, M. (2020). Estimation of stress-strength probability in a multicomponent model based on geometric distribution. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 4. https://doi.org/10.15672/hujms.681608

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Kaynakça (26)

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