#NAME?

In this paper, we have studied proportional orderings as extended versions of their associated usual orderings. Some new properties and applications of them are obtained in reliability theory. Finally, we have discussed ...

The purpose of this paper is to study shifted versions of the proportional likelihood ratio order, proportional (reversed) hazard rate order and some related aging classes. We give some properties and relationships to other stochastic comparisons...

In this paper, we have recalled some of the known stochastic orders

and the shifted version of them, so discussed their relations. Also, we obtained

some applications of proportional hazard rate ordering in ...

The proportional likelihood ratio order is as an extension of the likelihood ratio order for the non-negative

absolutely continuous random variables. Also, due to the popularity of the exponential distribution, the Lindley...