Let X1, X2,..., Xn be a random sample from a Beta distribution with the pdf f(x; a) = axa-1 for 0< x < 1, and zero otherwise. Which statement is correct? (1) â = X is the maximum likelihood estimator of a and is a consistent estimator of a. (II) â = X is the maximum likelihood estimator of a and is NOT a consistent estimator of a. (III) â = (IV) â = O (IV) O (1) ○ (III) O (II) -n Σlog (X₂) i=1 -n 72 Σ1 log(X₂) is the maximum likelihood estimator of a and is a consistent estimator of a. is the maximum likelihood estimator of a and is NOT a consistent estimator of a.
Let X1, X2,..., Xn be a random sample from a Beta distribution with the pdf f(x; a) = axa-1 for 0< x < 1, and zero otherwise. Which statement is correct? (1) â = X is the maximum likelihood estimator of a and is a consistent estimator of a. (II) â = X is the maximum likelihood estimator of a and is NOT a consistent estimator of a. (III) â = (IV) â = O (IV) O (1) ○ (III) O (II) -n Σlog (X₂) i=1 -n 72 Σ1 log(X₂) is the maximum likelihood estimator of a and is a consistent estimator of a. is the maximum likelihood estimator of a and is NOT a consistent estimator of a.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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[STATISTICS] MULTIPLE CHOICE: Which option is correct?
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
Transcribed Image Text:Let X1, X₂,..., X₂ be a random sample from a Beta distribution with the pdf f(x; a) = axª-¹ for
0<x< 1, and zero otherwise. Which statement is correct?
(1) â = X is the maximum likelihood estimator of a and is a consistent estimator of a.
(II) â = X is the maximum likelihood estimator of a and is NOT a consistent estimator of a.
is the maximum likelihood estimator of a and is a consistent estimator of a.
(III) â =
(IV) â =
O (IV)
O (1)
○ (III)
O (II)
-n
Zi-1 log(X₂)
-n
Σ1 log(X₂)
i=1
is the maximum likelihood estimator of a and is NOT a consistent estimator of a.
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