A researcher that wanted to estimate the expectation HY of a random variable Y got three independent observations, Y, Y, Y. The researcher knows the value o, of the variance of Y and is considering the following estimators: ⒤뀐 ⒤뀐⒤말⒤뀐⒤ ⒤갓⒤ (1)% Pn-(1) i + (}) Y½ + (}) x Which of the following is correct? None of the above is an unbiased estimator of l and it has the smallest variance of the three estimators D is an unbiased estimator of 4 and it has the smallest variance of the three estimators O and ig are both unbiased estimators of l and Var (î,)< Var (j) O is an unbiased estimator of 4 and it has the smallest variance of the three estimators
A researcher that wanted to estimate the expectation HY of a random variable Y got three independent observations, Y, Y, Y. The researcher knows the value o, of the variance of Y and is considering the following estimators: ⒤뀐 ⒤뀐⒤말⒤뀐⒤ ⒤갓⒤ (1)% Pn-(1) i + (}) Y½ + (}) x Which of the following is correct? None of the above is an unbiased estimator of l and it has the smallest variance of the three estimators D is an unbiased estimator of 4 and it has the smallest variance of the three estimators O and ig are both unbiased estimators of l and Var (î,)< Var (j) O is an unbiased estimator of 4 and it has the smallest variance of the three estimators
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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Transcribed Image Text:A researcher that wanted to estimate the expectation AY of a random variable Y got three independent observations, Y, Y, Y The
researcher knows the value o, of the variance
of Y and is considering the following estimators:
Pi = 4) Yi + (+) ¥
Py = () Yn + (;) ¥½ + () Y½
in (}) Yi + (}) ¥z + (()
%D
Which of the following is correct?
ONone of the above
Ois an unbiased estimator of l and it has the smallest variance of the three estimators.
Ois an unbiased estimator of µ and it has the smallest variance of the three estimators.
O and i, are both unbiased estimators of fl and Var (ſîz) < Var (îì3).
is an unbiased estimator of µ and it has the smallest variance of the three estimators.
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