Let X1, X2 X3 X4 Xs be iid random variables from some distribution with mean u and variance o. Consider estimating u using the estimator i = 2X1 +3X3– 4X, Calculate the bias of a when estimating u assuming u = 2.1 and o² = 1. %3D Bias(i) = number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point.

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Let X1, X2 X3 XA, Xs be id random variables from some distribution with mean u and variance o.
Consider estimating u using the estimator
i = 2X1+3X3- 4X,
Calculate the bias of u when estimating u assuming u = 2.1 and o² = 1.
Bias(i) =
number (rtol=0.01, atol=1e-08)
Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least
4 non-zero digits after the decimal point.
Calculate the variance of i assuming i =
2.1 and o = 1.
Var(i) =
number (rtol=0.01, atol=1e-08)
%3D
Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least
4 non-zero digits after the decimal point.
Calculate the mean squared error of u assuming u = 2.1 and o = 1.
%3D
%3D
MSE()
number (rtol=0.01, atol=1e-08)
Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least
4 non-zero digits after the decimal point.
Transcribed Image Text:Let X1, X2 X3 XA, Xs be id random variables from some distribution with mean u and variance o. Consider estimating u using the estimator i = 2X1+3X3- 4X, Calculate the bias of u when estimating u assuming u = 2.1 and o² = 1. Bias(i) = number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point. Calculate the variance of i assuming i = 2.1 and o = 1. Var(i) = number (rtol=0.01, atol=1e-08) %3D Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point. Calculate the mean squared error of u assuming u = 2.1 and o = 1. %3D %3D MSE() number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point.
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