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A Let X1,...;X'n " Pa where the distribution Po depends on an unknown parameter & E R. Which of the following C Quantifying Consistency statistics are considered estimators ? (Choose all that apply.) I point possible [graded) Note: The problem statement has been changed to asking about convergence in probability instead of almost surely. Attempts will be reset. 4.2 Let X1s...; X. " Ber(p). Let X. be the estimator given by = > X. V What is the smallest constant c such that W ( x.. - P) -"' (Ex-P) does not converge to O in probability as n + co? O SXi - 0 Consistency of an Estimator 1 point possible (graded) An estimator #, is weakly consistent if lim , = 0, where the convergence is in probability. Suppose that in the previous problem the unknown parameter 8 is the common mean of X], ..., X., . Assume that # # 4.2. Which of the following is a weakly consistent estimator for ? (Choose all that apply.) 4.2