Some Reliability Properties of Transformed-Transformer Family of Distributions

SYNOPTIC ABSTRACT

The Transformed-Transformer family of distributions are the resulting family of distributions as transformed from a random variable T through another transformer random variable X using a weight function ω of the cumulative distribution function of X. In this article, we study different stochastic ageing properties, as well as different stochastic orderings of this family of distributions. We discuss the results with several well known distributions.

KEY WORDS AND PHARSES:

• Generalized distribution
• stochastic order
• stochastic ageing

Additional information

Funding

Nil Kamal Hazra sincerely acknowledges the financial support from the University of the Free State, South Africa. The support received from IISER Kolkata and NPIU-TEQIP III, MHRD India to carry out this research work is gratefully acknowledged by Pradip Kundu. The financial support from NBHM, Govt. of India (vide Ref. No. 2/48(25)/2014/NBHM(R.P.)/R&D II/1393 dt. Feb. 3, 2015) is duly acknowledged by Asok K. Nanda.