Let X1, X2 X3 XA, Xs be id random variables from some distribution with mean u and variance o.Consider estimating u using the estimatori = 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 least4 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)%3DNotes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least4 non-zero digits after the decimal point.Calculate the mean squared error of u assuming u = 2.1 and o = 1.%3D%3DMSE()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 least4 non-zero digits after the decimal point.

Given, µ^ = 2X1+3X3-4X5 , E(Xi) = µ and Var(Xi) = σ2 Therefore, E(µ^ )=E( 2X1+3X3-4X5)…

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.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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