is an integer? if so you can expand your brackets and end up with a bunch of lognormal variables (the expectation of these is a standard result)
is there any chance to compute the following expectation explicitly? (I don't think so. Am I right?)
is a normally distributed r.v.
Actually, I want to maximize the expectation w.r.t over the interval ( is non-random). I know that the maximum exists since is concave and the interval compact. But does anyone has an idea how to compute the maximum?
Thanks in advance