Recent content by Zazubird

I think I made a mistake in my working and have taken a different approach involving mgfs of normal distributions. But I still get stuck halfway. I've put some of my working in the attached file. Any ideas as to how to get this different value of theta? Edit to file: V= Ybar + 0.5*theta*S^2

If Y~N(mu,sigma) and y=logX, with X~LN(mu,sigma), with a*=exp{ybar+1/2*theta*sample variance of y}, where ybar=sample mean of y and a=E[X]=exp{mu+1/2*sigma^2}, theta is constant. If theta=1, a* is consistent but biased and we can reduce the bias by choosing a different value of theta. Use a...