Let X1, X2,...,X, be a random sample of size n from a distribution with probability density function 1 f(z|a) = .1- a)/a 00. Obtain a maximum likelihood estimator for a, â. Use this estimator to provide an estimate of a when I1 = 0.54, 2 = 0.82, T3 = 0.5, I4 =0.74. number (rtol=0.01, atol=1e-08) %3D Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Let X1, X2,...,Xn be a random sample of size n from a distribution with probability density function
1
f(피la) = -.z(1-a)/a.
-g(1-a)/a 0< I<1, a>0.
Obtain a maximum likelihood estimator for a, a.
Use this estimator to provide an estimate of a when
I1 = 0.54, D2 0.82, 3 = 0.5, 4 = 0.74.
%3!
%3D
%3D
%3D
number (rtol=0.01, atol=1e-08)
Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least
4 non-zero digits after the decimal point.
Transcribed Image Text:Let X1, X2,...,Xn be a random sample of size n from a distribution with probability density function 1 f(피la) = -.z(1-a)/a. -g(1-a)/a 0< I<1, a>0. Obtain a maximum likelihood estimator for a, a. Use this estimator to provide an estimate of a when I1 = 0.54, D2 0.82, 3 = 0.5, 4 = 0.74. %3! %3D %3D %3D number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point.
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