Research Article

On estimating a stress-strength type reliability

Volume: 47 Number: 1 February 1, 2018
EN

On estimating a stress-strength type reliability

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.

Keywords

References

  1. Bohn, L.L. A review of nonparametric ranked set sampling methodology. Communications in Statistics: Theory and Methods 25, 2675-2685, 1996.
  2. Chen, Z., Bai, Z., and Sinha, B.K. Ranked set sampling: Theory and Applications. Springer, New York, 2004.
  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 Scientic, 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 < Yk:n2 ) in the exponential case. STATSTK 6, 92-102, 2013.
  8. Samawi, H., Abu-Dayyeh, W., and Ahmed, S. Extreme ranked set sampling. Biometrical Journal 30, 577-586, 1996.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2018

Submission Date

October 28, 2015

Acceptance Date

April 24, 2016

Published in Issue

Year 2018 Volume: 47 Number: 1

APA
Mahdizadeh, M. (2018). On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics, 47(1), 243-253. https://izlik.org/JA23BM76AR
AMA
1.Mahdizadeh M. On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):243-253. https://izlik.org/JA23BM76AR
Chicago
Mahdizadeh, M. 2018. “On Estimating a Stress-Strength Type Reliability”. Hacettepe Journal of Mathematics and Statistics 47 (1): 243-53. https://izlik.org/JA23BM76AR.
EndNote
Mahdizadeh M (February 1, 2018) On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics 47 1 243–253.
IEEE
[1]M. Mahdizadeh, “On estimating a stress-strength type reliability”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, pp. 243–253, Feb. 2018, [Online]. Available: https://izlik.org/JA23BM76AR
ISNAD
Mahdizadeh, M. “On Estimating a Stress-Strength Type Reliability”. Hacettepe Journal of Mathematics and Statistics 47/1 (February 1, 2018): 243-253. https://izlik.org/JA23BM76AR.
JAMA
1.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, vol. 47, no. 1, Feb. 2018, pp. 243-5, https://izlik.org/JA23BM76AR.
Vancouver
1.M. Mahdizadeh. On estimating a stress-strength type reliability. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Feb. 1;47(1):243-5. Available from: https://izlik.org/JA23BM76AR