In this paper, we discuss about the bivariate generalized Poisson distribution for the cortisol awakening response and multiple sclerosis in humans. Dysregulation of the hypothalamus-pituitary-adrenal (HPA) axis has been frequently been reported in multiple sclerosis (MS). So far, HPA axis function in MS has predominantly been studied under pharmacological stimulation which is associated with a...

This paper describes a new method for generating stationary integervalued time series from renewal processes. We prove that if the lifetime distribution of renewal processes is nonlattice and the probability generating function is rational, then the generated time series satisfy causal and invertible ARMA type stochastic difference equations. The result provides an easy method for generating in...