Abstract
A frailty model for failure data is proposed to estimate the total number of faults in a system. The Littlewood model and Jelinski-Moranda are the two particular cases of the proposed formulation. The two-stage estimating procedure, a conditional likelihood and a Horvitz-Thompson estimator, is found to be efficient. Simulation studies are given to assess the performance of the estimator. Two examples are also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 1001-1013 |
| Number of pages | 13 |
| Journal | Statistica Sinica |
| Volume | 12 |
| Issue number | 4 |
| Publication status | Published - 2002 Oct 1 |
| Externally published | Yes |
Keywords
- Capture-recapture
- Conditional likelihood
- Fault detection
- Jelinski-Moranda
- Littlewood
- Removal experiment
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty