Moments of the folded logistic distribution

The recent paper by Cooray et al. introduced the folded logistic distribution. The moments properties given in the paper appear too complicated. In this note, a simple formula is derived in terms of the well known Lerch function.     

Moments of the folded logistic distribution

The recent paper by Cooray et al. introduced the folded logistic distribution. The moments properties given in the paper appear too complicated. In this note, a simple formula is derived in terms of the well known Lerch function.     

Skew t distribution and its moments

A random variable X is said to have the skew-t distribution if its pdf is f(x)=2g(x)G(λx), where g(?) and G(?), respectively, denote the pdf and the cdf of the Student’s t distribution with degrees of freedom ν. The moments of this distribution appear not to have been studied in detail. In this paper, we derive general expressions for the nth moment of X by considering the cases ν odd and ν even separately. These expressions turn out to involve sums of the Gauss hypergeometric function. We also provide closed form expressions for the moments of X for the particular cases ν=2,…,10.