In this paper we consider a general setting of skew-symmetric distribution which was constructed by Azzalini (1985), and its properties are presented. A suitable empirical estimator for a skew-symmetric distribution is proposed. In data analysis, by comparing this empirical model with the estimated skew-normal distribution, we show that the proposed empirical model has a better fit in den...

The two-spotted spider mite, Tetranychus urticae Koch (Acari: Tetranychidae), is an economically important pest of ornamental plant in Iran. The population abundance and spatial distribution were studied on five Rosa cultivars including Maroussia, Wendela, Elderado, Wenedetta, and Hot Lady during two growing seasons of 2011 and 2012 in greenhouse. The k parameter, index of dispersion, Lloyd’s m...

We present a new skew-normal distribution, denoted by NSN($lambada$). We first derive the density and moment generating function of NSN($lambada$). The properties of SN($lambada$), the known skew-normal distribution of Azzalini, and NSN($lambada$) are compared with each other. Finally, a numerical example for testing about the parameter $lambada$ in NSN($lambada$) is given. ...

in this paper, vacuum assisted resin transfer molding (vartm) method was simulated by analytical solution. then the effect of parameters like fiber density, distribution of layer thickness, perform layer thickness, resin viscosity was investigated theoretically. obtained results show that by selecting optimum distribution layer thickness, increasing fiber volume fraction, reducing viscosity of ...

The estimation of probability densities based on available data is a central task in many statistical applications. Especially in the case of large ensembles with many samples or high-dimensional sample spaces, computationally efficient methods are needed. We propose a new method that is based on a decomposition of the distribution to be estimated in terms of so-called distribution elements (DE...

In this paper we introduce a four-parameter generalized Weibull distribution. This new distribution has a more general form of failure rate function. It is more general for modeling than six ageing classes of life distributions with appropriate choices of parameter values, so it can display decreasing, increasing, bathtub shaped, unimodal, increasing-decreasing increasing and decreasing-increas...

We present a new calculation for the evolution of the 1-point Probability Distribution Function (PDF) of the cosmological density field based on an exact statistical treatment. Using the Chapman–Kolmogorov equation and second–order Eulerian perturbation theory we propagate the initial density distribution into the nonlinear regime. Our calculations yield the moment generating function, allowing...

Subchondral bone density (by means of CT osteoabsorptiometry), and cartilage thickness (directly measured on photocopies of frozen sections), were examined in 30 human patellae, with an age range from 47 to 90 y. A surface demonstration of the distribution was prepared, and representative pictures produced by summation with a computer. Subchondral bone-density maxima were found in the proximal ...