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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
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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[STATISTICS] MULTIPLE CHOICE: Which option is correct?

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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.
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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