(b) Obtain the maximum likelihood estimator of 0.Eln(X;)in-n1Σin(X)Σin(X)-nΣin(X)inΣin(X)Compute the estimate for the given data. (Round your answer to two decimal places.) Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is(0 + 1)xº0 < x < 1f(x; 0)otherwisewhere -1 < 0. A random sample of ten students yields data x,0.99, x2 = 0.45, x3 = 0.94, x4 = 0.92, x5 = 0.79, x6 = 0.86, X70.73, xg = 0.90, X9 = 0.79, x10 = 0.65.%3D(a) Use the method of moments to obtain an estimator of 011 + X1- 21 - X1- 11 + XX - 11- 11Compute the estimate for this data. (Round your answer to two decimal places.)

Name: (b) Obtain the maximum likelihood estimator of 0.Eln(X;)in-n1Σin(X)Σi
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Description: (b) Obtain the maximum likelihood estimator of 0.Eln(X;)in-n1Σin(X)Σin(X)-nΣin(X)inΣin(X)Compute the estimate for the given data. (Round your answer to two decimal places.) Let X denote the proportion of allotted time that a randomly selected studen

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Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is |(0 + 1)xº 0sxs1 f(x; 0) = • otherwise where -1 < 0. A random sample of ten students yields data x, = 0.99, x2 = 0.45, x3 = 0.94, x4 = 0.92, x5 = 0.79, x6 = 0.86, x, = 0.73, xg = 0.90, x9 = 0.79, x10 = 0.65. (a) Use the method of moments to obtain an estimator of e 1. 1+ 1 - 2 (1 - X - 1 + - 2 X- 1 (R -1) - 1 Compute the estimate for this data. (Round your answer to two decimal places.)

Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is |(0 + 1)xº 0sxs1 f(x; 0) = • otherwise where -1 < 0. A random sample of ten students yields data x, = 0.99, x2 = 0.45, x3 = 0.94, x4 = 0.92, x5 = 0.79, x6 = 0.86, x, = 0.73, xg = 0.90, x9 = 0.79, x10 = 0.65. (a) Use the method of moments to obtain an estimator of e 1. 1+ 1 - 2 (1 - X - 1 + - 2 X- 1 (R -1) - 1 Compute the estimate for this data. (Round your answer to two decimal places.)

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

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

(b) Obtain the maximum likelihood estimator of 0.
Eln(X;)
in
-n
1
Σin(X)
Σin(X)
-n
Σin(X)
in
Σin(X)
Compute the estimate for the given data. (Round your answer to two decimal places.)

Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is
(0 + 1)xº
0 < x < 1
f(x; 0)
otherwise
where -1 < 0. A random sample of ten students yields data x,
0.99, x2 = 0.45, x3 = 0.94, x4 = 0.92, x5 = 0.79, x6 = 0.86, X7
0.73, xg = 0.90, X9 = 0.79, x10 = 0.65.
%3D
(a) Use the method of moments to obtain an estimator of 0
1
1 + X
1
- 2
1 - X
1
- 1
1 + X
X - 1
1
- 1
1
Compute the estimate for this data. (Round your answer to two decimal places.)

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