Mathematics, 06.06.2020 17:59, sandy3711
g Quantifying Consistency 1 point possible (graded) Note: The problem statement has been changed to asking about convergence in probability instead of almost surely. Attempts will be reset. Let X1,…,Xn∼iidBer(p). Let X¯¯¯¯n be the estimator given by 1n∑i=1nXi. What is the smallest constant c such that nc(X¯¯¯¯n−p)=nc(1n∑i=1nXi−p) does not converge to 0 in probability as n→[infinity]?
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