Reliability Estimation in a Multicomponent n1Stress­ -n2Strength Model in the Inverse Exponential Distribution

Author(s):

Ali Rostami , Mohammad Khanjari Sadegh* , Mohammad Khorashadizadeh

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this article, we consider the estimation of R{r,k}= P(X{r:n1} < Y{k:n2}), when the stress X and strength Y are two independent random variables from inverse Exponential distributions with unknown different scale parameters. R{r,k} is estimated using the maximum likelihood estimation method, and also, the asymptotic confidence interval is obtained. Simulation studies and the performance of this model for two real data sets are presented.

Keywords:

Reliability , stress­-strength Model , Maximum Likelihood Estimation , Asymptotic Confidence Interval

Language:
Persian
Published:
Journal of Statistical Sciences, Volume:16 Issue: 2, 2023
Pages:
397 to 416
https://www.magiran.com/p2532867  
سامانه نویسندگان
  • Mohammad Khorashadizadeh
    Author (3)
    Associate Professor Department of Statistics, University Of Birjand, Birjand, Iran
    Khorashadizadeh، Mohammad
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