Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615401 | Journal of Mathematical Analysis and Applications | 2015 | 15 Pages |
Abstract
In this work, we pay attention to smallest order statistics arising from heterogeneous random variables satisfying the proportional reversed hazard rate (PRHR) model. In particular, we show various results on this model related to comparisons based on magnitude stochastic orders. Since beta distribution is the simplest element of PRHR models, we first face the problem of some stochastic comparisons under some majorization conditions on the beta parameters. We then extend these results to the general case of PRHR models.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nuria Torrado,