THE DENSITY OF THE SKEW NORMAL SAMPLE MEAN AND ITS APPLICATIONS

摘要

This paper focuses on the distribution of the skew normal sample mean. For a random sample drawn from a skew normal population, we derive the density function and the moment generating function of the sample mean. The density function derived can be used for statistical inference on the disease occurrence time of twins in epidemiology, in which the skew normal model plays a key role.