Abstract
Strong consistency and asymptotic normality of the maximum likelihood estimators are established in the context of jointly type-II censored samples from two exponential populations. Large-sample confidence intervals are derived for the individual scale parameters as well as their ratio, and some applications to series and parallel systems are discussed. For the ratio of the scale parameters, an exact confidence procedure is developed on the basis of the failure counts in the two samples, and its asymptotic efficiency is investigated.
Original language | English (US) |
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Pages (from-to) | 441-446 |
Number of pages | 6 |
Journal | Journal of the American Statistical Association |
Volume | 77 |
Issue number | 378 |
DOIs | |
State | Published - Jun 1982 |
Keywords
- Asymptotic distribution
- Censored data
- Confidence bounds
- Exponential distribution
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty