Several distributional properties of skew t-distribution are presented. Based on the distributional properties, some characterizations of the skew t-distribution with 3 degrees of freedom are given.
AzzaliniA.A Class of Distributions Which Includes the Normal Ones. Scand J Stat. 1985; 12(2): 171–178.
2.
JamalizadehAKhorsaviMBalakrishnanN.Recurrence Relations for Distributions of a Skew t-distribuion and a Linear Combination of Order Statistics from a Bivariate t-Distribution. Comput Stat Data Anal. 2009; 53(4): 847–852.
3.
AzzaliniA. The Skew-normal and Related Families. Cambridge University Press; 2014.
4.
AhsanullahMNevzorovVB.Some Inferences on Skew t-distribution with 2 Degrees of Freedom. J Stat Theory Appl. 2017; 16(4): 419–426.
