We study multiple linear regression model under non-normally distributed random error by considering the family of generalized secant hyperbolic distributions. derive estimators parameters using modified maximum likelihood methodology and explore properties so obtained. show that proposed are more efficient robust than commonly used least square estimators. also develop relevant test hypothesis...

The problem of determining if a bivariate normal correlation changes with respect to time or some other covariate is considered. It is assumed that the means and standard deviations of the normal random variables can be consistently estimated from the entire data run, and do not need to be re-estimated for each covariate value. A new estimator of a bivariate normal correlation is given that has...

In this paper, we prove that every metric line in the Poincare ball model of hyperbolic geometry is exactly a classical line of itself. We also proved nonexistence of periodic lines in the Poincare ball model of hyperbolic geometry.

in this paper, we prove that every metric line in the poincare ball model of hyperbolic geometry is exactly a classical line of itself. we also proved nonexistence of periodic lines in the poincare ball model of hyperbolic geometry.

Biophysical models predicting the relaxation of cardiomyocytes1 take into account a lot more variables than regression models analysing the left ventricular relaxation in human and animal hearts. These isochoric (isovolumic) pressure decay curves are often described by an exponential2 or logistic3 time constant. Both these three–parametric regression models are regarded unsatisfactory4, 5. Cons...