A Bernoulli random sample :(adsbygoogle = window.adsbygoogle || []).push({});

X=1 , Pr(X=1)=p;

X=0 , Pr(X=0)=1-p;

taken X1, ..., Xn

and if it is known that 0=< p =<0.5

find a method of moments estimator of p

If I just take estimator of P =(sum Xi )/n than the estimate p may be bigger than 0.5 as in extreme case all Xi =1 .

What should I do , take estimator of p = Max (0.5*n , Sum Xi) /n ?

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# Bernoulli estimator

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