Question: A random variable X can take the values 1,0 and 1 . We know that, P(X=1)=2,P(X=0)=15,P(X=1)=3 One observation is taken, and we want to estimate
A random variable X can take the values 1,0 and 1 . We know that, P(X=1)=2,P(X=0)=15,P(X=1)=3 One observation is taken, and we want to estimate . Consider the estimators, ^1=Xand^2=5X2 (a) Check whether ^1 and ^2 are unbiased estimators of . (b) Which one of the two estimators ^1 and ^2 would you prefer? Justify your
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