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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 1

On estimating a stress-strength type reliability

M. MAHDİZADEH
Sayfa
243–253
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results show that the estimator could be highly effcient in many situations considered.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This article deals with estimating an extension of the well-known stress-strength reliability in nonparametric setup.
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Temel Bulgular & Veri:By means of Monte Carlo simulations, the proposed estimator is compared with its parametric analogs in the case of exponential distribution.
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Sonuç & Katkı:The results show that the estimator could be highly effcient in many situations considered.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Judgment ranking · $\ell$-out-of-$k$ system · Robustness

Abstract

This article deals with estimating an extension of the well-known stress-strength reliability in nonparametric setup. By means of Monte Carlo simulations, the proposed estimator is compared with its parametric analogs in the case of exponential distribution. The results show that the estimator could be highly effcient in many situations considered.

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Bu Makaleye Atıf Yap

MAHDİZADEH, M. (2022). On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 1, 243–253. https://ajindex.com/articles/529819

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Kaynakça (8)

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  3. Dong, X., Zhang, L., and Li, F. Estimation of reliability for exponential distributions using ranked set sampling with unequal samples. Quality Technology & Quantitative Management 10, 319-328, 2013.
  4. Kotz, S., Lumelskii, Y., and Pensky, M. The stress-strength model and its generalizations. Theory and applications. World Scienti c, Singapore, 2003.
  5. Kvam, P.H., and Samaniego, F.J. Nonparametric maximum likelihood estimation based on ranked set samples. Journal of the American Statistical Association 89, 526-537, 1994.
  6. McIntyre, G.A. A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research 3, 385-390, 1952.
  7. Pakdaman, Z., and Ahmadi, J. Stress-strength reliability for P(Xr:n1 Samawi, H., Abu-Dayyeh, W., and Ahmed, S. Extreme ranked set sampling. Biometrical Journal 30, 577-586, 1996.
  8. Sengupta, S., and Mukhuti, S. Unbiased estimation of P(X > Y ) for exponential populations using order statistics with application in ranked set sampling. Communications in Statistics: Theory and Methods 37, 898-916, 2008.