On asymptotic distribution of sample central moments in normal-uniform distribution

The central moments are very useful in topics identified distribution as they revealthe measure of skewness. In this article, we present the asymptotic distribution ofestimator of third central moment as well as the distribution of estimator ofskewed measure by employing of the theory of U-statistics in the family ofskewed normal-uniform distribution. By changing the three parameters of thisdistribution, one related to normal distribution, the other related to uniformdistribution, and the third to skew parameter, we characterize this kind ofdistribution.