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

Hossein Nadeb and Hamzeh Torabi

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 17, 4333-4346

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.

Date: 2020
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DOI: 10.1080/03610926.2019.1601220

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