A count model based on Mittag-Leffler interarrival times

KANICHUKATTU K. JOSE & ABRAHAM, BINDU; Department Of Statistics - Baselios Poulose II Catholicose College, Piravom Mahatma Gandhi University, Kerala
In this paper, a new generalized counting process with Mittag-Leffler inter-arrival time distribution is introduced. This new model is a generalization of the Poisson process. The computational intractability is overcome by deriving the Mittag-Leffler count model using polynomial expansion. The hazard function of this new model is a decreasing function of time, so that the distribution displays negative duration dependence. The model is applied to a data on interarrival times of customers in a bank...