The Inverse Gaussian distribution plays an important role in Reliability theory and Life testing problems. It has useful applications in a wide variety of fields such as Biology, Economics, and Medicine. It is used as an important mathematical model for the analysis of positively skewed data. The review article by Folks & Chhikara [1,2] and Seshadri [3] have proposed many interesting properties...

 Traditional regression analyses assume normality of observations and independence of mean and variance. However, there are many examples in science and Technology where the observations come from a skewed distribution and moreover there is a functional dependence between variance and mean. In this article, we propose a method for regression analysis under Inverse Gaussian model when th...

In a number of applications, for example biomechanical imaging of tissue and geophysics, the goal is to recover wave speed from arrival times, the times when a wave front, initiated at a source, arrives at certain points in space. The mathematical model that relates the arrival times to the wave speed is assumed to be the Eikonal equation. Typically the measured arrival time data is noisy so th...

In this paper we have introduced extensions yv(a, x; b) and fu(a, x; b) of the generalized Gamma functions y (a, x; b) and V(a, x\ b) considered recently by Chaudhry and Zubair. These extensions are found useful in the representations of the Laplace and tf-transforms of a class of functions. We have also defined a generalization of the inverse Gaussian distribution. The cumulative and the relia...