suppose that a random variable X has a geometric distribution (pq^x) for which the parameter p is unknown (0<p<1). Find a statistic that will be an unbiased estimator of 1/p
Any help on this would be greatly appreciated, thank you so much
suppose that a random variable X has a geometric distribution (pq^x) for which the parameter p is unknown (0<p<1). Find a statistic that will be an unbiased estimator of 1/p
Any help on this would be greatly appreciated, thank you so much
Do you have a sample or just one observation?
You do realize E(X)=1/p depending on how you define your distribution
http://en.wikipedia.org/wiki/Geometric_distribution
IN your case E(X)=(1/p)-1
So, in that setting X+1 is the answer