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P2. Let X₁,..., Xn be a random sample from a distribution X with density function (that depends on (X, 0)) f(x; 0, X) = Xe-X(z−Đ), a>0, x 0, x ≤ 0, with > 0 and 0 € R. 1. Find the methods of moments estimator for (A, 0). 2. Find the corresponding estimate of (A, 0) when n= 10 and ₁ = 3, 2.5, 4 = = 2, 5 = 5, x6 = 3.5, 7 = 10, x8 = 9, x2 = 0.5, x3 Ig = 18, 10 1.5. Problem 3. Do the same as in Problem 2 but with the method of maximum likelihood.

P2. Let X₁,..., Xn be a random sample from a distribution X with density function (that depends on (X, 0)) f(x; 0, X) = Xe-X(z−Đ), a>0, x 0, x ≤ 0, with > 0 and 0 € R. 1. Find the methods of moments estimator for (A, 0). 2. Find the corresponding estimate of (A, 0) when n= 10 and ₁ = 3, 2.5, 4 = = 2, 5 = 5, x6 = 3.5, 7 = 10, x8 = 9, x2 = 0.5, x3 Ig = 18, 10 1.5. Problem 3. Do the same as in Problem 2 but with the method of maximum likelihood.

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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Problem 3

P2. Let X₁,..., Xn be a random sample from a distribution X with density function (that depends on (X, 0)) Xe-X(z−Đ), x > 0, f(x; 0, X) = = 0, with A> 0 and 0 € R. 1. Find the methods of moments estimator for (X, 0). 2. Find the corresponding estimate of (A, 0) when n = X2 0.5, 03 = 2.5, 42, 25 = 5, 26 3.5, 07 Xg = 18, 10 = 1.5. x ≤ 0, = 10 and ₁ = 3, 10, 8 = 9, = Problem 3. Do the same as in Problem 2 but with the method of maximum likelihood.
Transcribed Image Text:P2. Let X₁,..., Xn be a random sample from a distribution X with density function (that depends on (X, 0)) Xe-X(z−Đ), x > 0, f(x; 0, X) = = 0, with A> 0 and 0 € R. 1. Find the methods of moments estimator for (X, 0). 2. Find the corresponding estimate of (A, 0) when n = X2 0.5, 03 = 2.5, 42, 25 = 5, 26 3.5, 07 Xg = 18, 10 = 1.5. x ≤ 0, = 10 and ₁ = 3, 10, 8 = 9, = Problem 3. Do the same as in Problem 2 but with the method of maximum likelihood.
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