Skewed student t distribution parameters

In GARCH models, we make an assumption about the distribution of the standardized return:

For financial returns, the skewed student t distribution is often used. It has a skewness parameter \(\xi\) and degrees of freedom parameter \(\nu\).

Which of the following statements is false?

50 XP

When \(\xi<1\), the skewed student t distribution has negative skewness.
press1
When \(\nu=6\) and \(\xi=1\), large negative returns occur more often than large positive returns.
press2
The normal distribution is a special case of the skewed student t distribution.
press3