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On estimating a stress-strength type reliability

Yıl 2018, Cilt: 47 Sayı: 1, 243 - 253, 01.02.2018

Öz

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.

Kaynakça

  • Bohn, L.L. A review of nonparametric ranked set sampling methodology. Communications in Statistics: Theory and Methods 25, 2675-2685, 1996.
  • Chen, Z., Bai, Z., and Sinha, B.K. Ranked set sampling: Theory and Applications. Springer, New York, 2004.
  • 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.
  • Kotz, S., Lumelskii, Y., and Pensky, M. The stress-strength model and its generalizations. Theory and applications. World Scientic, Singapore, 2003.
  • 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.
  • McIntyre, G.A. A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research 3, 385-390, 1952.
  • Pakdaman, Z., and Ahmadi, J. Stress-strength reliability for P(Xr:n1 < Yk:n2 ) in the exponential case. STATSTK 6, 92-102, 2013.
  • Samawi, H., Abu-Dayyeh, W., and Ahmed, S. Extreme ranked set sampling. Biometrical Journal 30, 577-586, 1996.
  • 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.
Yıl 2018, Cilt: 47 Sayı: 1, 243 - 253, 01.02.2018

Öz

Kaynakça

  • Bohn, L.L. A review of nonparametric ranked set sampling methodology. Communications in Statistics: Theory and Methods 25, 2675-2685, 1996.
  • Chen, Z., Bai, Z., and Sinha, B.K. Ranked set sampling: Theory and Applications. Springer, New York, 2004.
  • 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.
  • Kotz, S., Lumelskii, Y., and Pensky, M. The stress-strength model and its generalizations. Theory and applications. World Scientic, Singapore, 2003.
  • 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.
  • McIntyre, G.A. A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research 3, 385-390, 1952.
  • Pakdaman, Z., and Ahmadi, J. Stress-strength reliability for P(Xr:n1 < Yk:n2 ) in the exponential case. STATSTK 6, 92-102, 2013.
  • Samawi, H., Abu-Dayyeh, W., and Ahmed, S. Extreme ranked set sampling. Biometrical Journal 30, 577-586, 1996.
  • 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.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm İstatistik
Yazarlar

M. Mahdizadeh

Yayımlanma Tarihi 1 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 47 Sayı: 1

Kaynak Göster

APA Mahdizadeh, M. (2018). On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics, 47(1), 243-253.
AMA Mahdizadeh M. On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics. Şubat 2018;47(1):243-253.
Chicago Mahdizadeh, M. “On Estimating a Stress-Strength Type Reliability”. Hacettepe Journal of Mathematics and Statistics 47, sy. 1 (Şubat 2018): 243-53.
EndNote Mahdizadeh M (01 Şubat 2018) On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics 47 1 243–253.
IEEE M. Mahdizadeh, “On estimating a stress-strength type reliability”, Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 1, ss. 243–253, 2018.
ISNAD Mahdizadeh, M. “On Estimating a Stress-Strength Type Reliability”. Hacettepe Journal of Mathematics and Statistics 47/1 (Şubat 2018), 243-253.
JAMA Mahdizadeh M. On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics. 2018;47:243–253.
MLA Mahdizadeh, M. “On Estimating a Stress-Strength Type Reliability”. Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 1, 2018, ss. 243-5.
Vancouver Mahdizadeh M. On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):243-5.