Abstract
In this paper, the estimation of stress-strength parameter R = P(Y < X) is considered when X, Y the strength and stress respectively are two independent random variables of Rayleigh distribution. The samples taken for X and Y are progressively censoring of type II. Maximum likelihood estimator (MLE), uniformly minimum variance unbiased estimator (UMVUE)and Bayes estimator of R = P(Y < X) are obtained. The exact confidence interval of R based on MLE is obtained. The performance of the proposed estimators is compared using computer simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 101-110 |
| Number of pages | 10 |
| Journal | Information Sciences Letters |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2021 |
| Externally published | Yes |
Keywords
- Maximum-likelihood estimator
- Progressive type-II censoring
- Rayleigh distribution
- Stress-strength model
- Unbiased estimator