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IJASP International Journal of Advanced Statistics and Probability E-ISSN 2307-9045

Estimation of stress-strength parameter for two-parameter weibull distribution

Abstract

In this paper, we consider the estimation of R= p(y<x) when x and y are two independent random variables from two-parameter weibull distribution with different scale parameters and the same shape parameter. Assuming that the common shape parameter is known, MLE, UMVUE and Bayes estimators of R are obtained. We also derive a confidence interval and shortest confidence interval for R based on MLE of R.  Monte-Carlo simulation are performed to compare the different proposed methods.

Authors and Affiliations

  • Narjes Amiri Master Student, Department of Statistics, Faculty of Sciences, Golestan University, Gorgan, Iran
  • Reza Azimi Master Student, Department of Statistics, Faculty of Sciences, Golestan University, Gorgan, Iran
  • Farhad Yaghmaei Assistance Professor, Department of Statistics, Faculty of Sciences, Golestan University, Gorgan, Iran
  • Manoochehr Babanezhad Assistance Professor, Department of Statistics, Faculty of Sciences, Golestan University, Gorgan, Iran

About this article

DOI
https://doi.org/10.14419/ijasp.v1i1.752
Received
18-03-2013
Accepted
05-04-2013
Published
06-04-2013
Views
740
Downloads
283
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References

H. Tong, A note on the estimation of P(Y

H. Tong, On the estimation of P(Y

Y.S. Sathe, S.P. Shah, On estimation P(Y

D. Kundu, R.D. Gupta, Estimation of P(Y

S. Rezaei, R. Tahmasbi, M. Mahmoodi, Estimation of P(Y

View more references (8)

H. Panahi, S. Asadi, Estimation of R=P(Y

N. Odat, Estimation of reliability based on Pareto distribution. Applied Mathematical Sciences, 55, (2010), 2743-2748.

A. Chaturvedi, S.K. Tomer, UMVU estimation of the reliabilirty function of the generalized Life distributions.Statistical Papers,44,(2003), 301-313.

D. Kundu, R.D. Gupta, Estimation of P(Y

A.I. Shawky, F.H. Al-Kashkari, On a stress-strength model in Burr of type III. Metron, LXV, (2007), 371-385.

S. Babayi, E. Khorram, F. Tondro, Inference of R=P(X

K. Krishnamoorthy, S. Mukherjee, H. Guo, Inference on reliability in two-parameter exponential stress-strength model. Metrika, 65, (2007), 261-273.

D. Kundu, M.Z.Raqab,Estimation of R=P(Y

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