Bivariate semi-logistic and Marshall-Olkin bivariate semi-logistic distributions are introduced. Some properties of these distributions are studied. First order autoregressive processes with bivariate semi-logistic and Marshall-Olkin bivariate semi-logistic distributions as marginals are introduced and studied.

A phenomenological model for the inertial range scaling of passive-scalar turbulence is developed based on a bivariate log-Poisson model. An analytical formula of the scaling exponent for three-dimensional passive-scalar turbulence is deduced. The predicted scaling exponents are compared with experimental measurements, showing good agreement. 47.27.-i, 47.27.Gs Typeset using REVTEX 1 Submitted ...

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...