In this paper we propose the beta slashed generalised half-normal distribution, which includes some important distributions such as half-normal, and distributions. Explicit expressions for cumulative distribution characteristic functions are derived. The maximum likelihood estimates of parameters obtained via EM algorithm value proposed model is illustrated with an application on fatigue data. ...

We introduce a quantile-based multivariate log-normal distribution, providing new skewed distribution with positive support. The parameters of this are interpretable in terms quantiles marginal distributions and associations between pairs variables, desirable feature for statistical modeling purposes. derive properties the involving transformations, closed-form expressions mixed moments, expect...

The role of the normal distribution in realm statistical inference and science is considered from epistemological viewpoint. Quantifiable knowledge usually embodied mathematical models. History emergence presented a close relationship to those Furthermore, estimation model parameters, starting with Laplace’s Central Limit Theorem, through maximum likelihood theory leading Bronstein von Mises Co...