Preservation properties of stochastic orders by transformation to the transmuted-G model

Abstract

The transmuted-G model is a useful technique to construct some new distributions by adding a parameter. This paper considers stochastic comparisons in the transmuted-G family with different parameters and different baseline distributions in the sense of the usual stochastic, shifted stochastic, proportional stochastic and shifted proportional stochastic orders. Also, we present a necessary and sufficient condition for existence of the moments of the transmuted-G model and then we obtain some bounds for the survival and aging intensity functions of the transmuted-G model conditioned on its parameter and its baseline distribution.

Keywords:

• Aging intensity
• DHR
• IHR
• stochastic order
• transmuted-G model

MSC 2010:

• 60E15
• 60K10

Acknowledgments

The authors sincerely thank the chief editor, the corresponding associate editor and the anonymous reviewers for their constructive suggestions and comments, which led to this improved version.