Title: Reliability study of proportional odds family of discrete distributions,
Abstract: The proportional odds model gives a method of generating new family of
distributions by adding a parameter, called tilt parameter, to expand an
existing family of distributions. The new family of distributions so obtained
is known as Marshall-Olkin family of distributions or Marshall-Olkin extended
distributions. In this paper, we consider Marshall-Olkin family of
distributions in discrete case with fixed tilt parameter. We study different
ageing properties, as well as different stochastic orderings of this family of
distributions. All the results of this paper are supported by several examples.