Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?
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Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?
Review order statistics for geometric random variables.Quote:
Originally Posted by Sneaky
E(min(X,100)) can be expanded into
99
summation y*theta*(1-theta)^y
y=o
+
inf.
summation 100*theta*(1-theta)^100
y=100
But I don't know what to do here.
I work in order stats and I don't know what that means.Quote:
Originally Posted by Sneaky
Is it the smallest order stat from a sample of 100?
this question means
find the expected value of Z when Z is a function of the smaller value of X or 100, and X is a geometric distribution with expected value of theta.