Abstract
This article investigates properties of mixture model of proportional reversed hazard rate. Firstly, the mixing random variable and the overall population variable are proved to be positively likelihood dependent. Secondly, lower bounds for the distribution function as well as the conditional distribution are established in the case that the mixing variable belongs to certain nonparametric classes. Finally, some stochastic orders on the mixing (baseline) variables are proved to be translated to the corresponding overall population variables.
| Original language | English |
|---|---|
| Pages (from-to) | 2953-2963 |
| Number of pages | 11 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 37 |
| Issue number | 18 |
| DOIs | |
| State | Published - Jan 2008 |
Keywords
- DRHR
- HNBUE
- Hazard rate order
- Likelihood ratio order
- Positively likelihood ratio dependent
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