Re: expectations

Posted by Sinistral on Jun 10, 2013; 7:02am
URL: http://discussion-forum.276.s1.nabble.com/expectations-tp7582086p7582093.html

For Xhh I am getting a Fibonacci series.

E[Xhh]= 2*(0.25) +  Σ(r=3 to ∞) r*[0.5^(r-2) * t(r-2) * 0.25]
where t(i) is the i th term of a Fibonacci series.
i wasnt able to sum it!!

for E(Xht) i was able to create a summable series.
E[Xht]= 0.25 * Σ(r=2 to ∞) [r(r-1)/2^(r-2)]
E[Xht]= 0.25 * Σ(r=2 to ∞) {r^2/[2^(r-2)] - r/[2^(r-2)]}
both these terms r^2/[2^(r-2)] & r/[2^(r-2)] can be summed individually.