In this paper we give some conditions such that there is an equivalence between probability measures and distribution functions defined on a separable linearly ordered topological space like it happens in the classical case. What more, prove one-to-one relationship measure pseudo-inverse of its cumulative function.

When data are found to be realizations of a specific distribution, constructing the probability density function based on this distribution may not lead best prediction result. In study, numerical simulations conducted using that follow normal and we examine whether functions have shapes different from can yield larger log-likelihoods than in light future data. The results indicate fitting prod...

We measure the Voronoi density probability distribution function (PDF) for both dark matter and halos in N-body simulations. For matter, densities represent field smoothed on a uniform mass scale, which approximates Lagrangian field. halos, contain information about local environment of each halo. halo virial masses, total amount within cell, cell volumes, we show how abundances depend these th...

One of the most commonly used statistical models for characterizing the variations of tree diameter at breast height is Weibull distribution. The usual approach for estimating parameters of a statistical model is the maximum likelihood estimation (likelihood method). Usually, this works based on iterative algorithms such as Newton-Raphson. However, the efficiency of the likelihood method is not...