Serving the Quantitative Finance Community
distributions
Hi,If v has a two parameter weibull distribution, how is v^3 distributed?and if v is normal , how is v^3 distributed?(the weibull one I can sort of work out, but am not sure my answer is right...)Any help will be much appreciated.Cheers
distributions
Hi Nya,Forgive me for stating the obvious, but if x were a normally distributed population, wouldn't x^3 also be normally distributed?
distributions
In fact, instinctively it would seem that the distibution of v^3 would have a similar skewness but different kurtosis to the distribution of v.
distributions
maybe there is something I am missing here... If you look at the characteristic function of X^3 where X is normally distributed it doesn't seem to produce anything like exp(itmu - t^2sigma^2).... and if it was still normal, its kurtosis would be three and its skewness would be zero like all normal distributions.