=E %3D i=1 j=1 j#i Hence, O A. Yes Y is an unbiased estimator of uy. O B. No, is not an unbiased estimator of u Y is a consistent estimator of Hy. Is Y a consistent estimator of u? = E j=1 j#i Hence, O A. Yes, Y is a consistent estimator of uy O B. No, is not a consistent estimator of u

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Hello, both the images are of the same question. Please help
E(Y) =E
i= 1
i=1 j±i
Hence,
O A. Yes, Y is an unbiased estimator of uy.
O B.
No,
Ý is not an unbiased estimator of u
Y is a consistent estimator of µy. Is Y a consistent estimator of u?
2
E(Y) =E
i= 1
i=1 j#i
Hence,
O A.
Yes,
is a consistent estimator of u
O B. No. Y is not a consistent estimator of uy
Click to select your answer.
P Type here to search
近
Transcribed Image Text:E(Y) =E i= 1 i=1 j±i Hence, O A. Yes, Y is an unbiased estimator of uy. O B. No, Ý is not an unbiased estimator of u Y is a consistent estimator of µy. Is Y a consistent estimator of u? 2 E(Y) =E i= 1 i=1 j#i Hence, O A. Yes, is a consistent estimator of u O B. No. Y is not a consistent estimator of uy Click to select your answer. P Type here to search 近
Let Y,, Y, be i.i.d with mean py and variance o.
Y is an unbiased estimator of uy.
Is
an unbiased estimator of u?
First, note that for a random variable X
var(X) = E(x°) - E(X? = E(x)- and E(XX) =, for itj.
%3D
So,
in
E(Y) =t
j=1 j#i
Hence,
O A.
Yes,
is an unbiased estimator of u
O B.
No,
is not an unbiased estimator of u.
Y is a consistent estimator of µy. Is Y a consistent estimator of u?
Click to select your answer.
Type here to search
近
Transcribed Image Text:Let Y,, Y, be i.i.d with mean py and variance o. Y is an unbiased estimator of uy. Is an unbiased estimator of u? First, note that for a random variable X var(X) = E(x°) - E(X? = E(x)- and E(XX) =, for itj. %3D So, in E(Y) =t j=1 j#i Hence, O A. Yes, is an unbiased estimator of u O B. No, is not an unbiased estimator of u. Y is a consistent estimator of µy. Is Y a consistent estimator of u? Click to select your answer. Type here to search 近
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