Q106·Section III (Statistics)·106 of 145X(1)→−θX_{(1)}\to-\thetaX(1)→−θ and X(n)→θX_{(n)}\to\thetaX(n)→θ, so the range estimates 2θ2\theta2θLet X1,…,XnX_1,\dots,X_nX1,…,Xn be a random sample from U(−θ,θ)U(-\theta,\theta)U(−θ,θ) with T1=X(1)T_1=X_{(1)}T1=X(1), T2=X(n)T_2=X_{(n)}T2=X(n). Then: OptionsAT1T_1T1 and T2T_2T2 both are consistent estimators for θ\thetaθBT2−T1T_2-T_1T2−T1 is consistent estimator for 2θ2\theta2θC(T1+T2)/2(T_1+T_2)/2(T1+T2)/2 is consistent estimator for θ\thetaθDT2−T1T_2-T_1T2−T1 is consistent estimator for θ\thetaθPick an option to check your answer.Show answerShow solution Report a problem with this question← Q105All questionsQ107 →Keyboard: A–D answer · S solution · ←/→ previous/next