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 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...

In this paper, a change constrained optimization programming problem is studied under the assumption that model coe¢ cients in inequalities defned as random variables are independent and assumed to be Normal, t; Non Normal Skew distributions; t distributions. The Hulkursar method transform stochastic into non-linear deterministic used study. most common distribution CCSP Distribution; but real ...