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distributions
Posted: August 9th, 2005, 7:48 am
by nyamazani
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
Posted: August 11th, 2005, 7:47 pm
by anuj76
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
Posted: August 11th, 2005, 8:02 pm
by anuj76
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
Posted: August 15th, 2005, 2:56 pm
by nyamazani
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.