In this paper, we discuss a generalization of Balakrishnan skew-normal distribution with two parameters that contains the skew-normal, the Balakrishnan skew-normal and the two-parameter generalized skew-normal distributions as special cases. Furthermore, we establish some useful properties and two extensions of this distribution. 

There has been considerable research conducted on the development of statistical models for predicting crashes on highway facilities. Despite numerous advancements made for improving the estimation tools of statistical models, the most common probabilistic structure used for modeling motor vehicle crashes remains the traditional Poisson and Poisson-gamma (or Negative Binomial) distribution; whe...

Definition 1.1 Let N(0, 1) denote the one dimensional normal distribution. This distribution has density n(x) = e−x 2/2/ √ 2π. LetNd(0, 1) denote the d-dimensional Gaussian distribution, induced by picking each coordinate independently from the standard normal distribution N(0, 1). Let Exp(λ) denote the exponential distribution, with parameter λ. The density function of the exponential distribu...

We explore computational aspects of likelihood maximisation for the generalised gamma distribution. We improve on earlier work by being the first to formulate the iterative approach to solution of the likelihood score equations in such a way that the individual equations involved are uniquely solvable. We observe that the resulting algorithm is well-behaved and competitive with the application ...

The marginal proportional hazards frailty model for multivariate failure time data characterizes the intracluster dependency with the frailty model while formulating the marginal distributions with the proportional hazards model. The gamma frailty distribution has been widely used to model intracluster dependency because of its simple interpretation and mathematical tractability. Glidden (2000)...