8.4 Suppose that in a trial we obtain the following numbers representing a random sample of 10 bricks selected of a production line: x₁ = 6.161520, x2 = 4.892259, x3 = 6.342859, 4 = 4.673576,25 = 4.936554, = 5.691312. x6 = 3.966134, x7 4.351286, 28 = = 6.010079, 29 = 4.944755, 10 = We assume that the distribution of each brick is a Cauchy random variable with location parameter 8. f(x0) = 1 π(1 + (x −0)²)*

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.CR: Chapter 13 Review
Problem 6CR
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We want to estimate the parameter θ based on these observations. Find the MLE
estimator for theta. Try and apply the method of moments to obtain an estimator for
theta. Can you apply the method? Explain.

8.4 Suppose that in a trial we obtain the following numbers representing a random
sample of 10 bricks selected of a production line:
x₁ = 6.161520, x2 = 4.892259, x3 = 6.342859, 4 = 4.673576,25 = 4.936554,
= 5.691312.
x6 = 3.966134, x7
4.351286, 28
=
= 6.010079, 29
= 4.944755, 10
=
We assume that the distribution of each brick is a Cauchy random variable with
location parameter 8.
f(x0) =
1
π(1 + (x −0)²)*
Transcribed Image Text:8.4 Suppose that in a trial we obtain the following numbers representing a random sample of 10 bricks selected of a production line: x₁ = 6.161520, x2 = 4.892259, x3 = 6.342859, 4 = 4.673576,25 = 4.936554, = 5.691312. x6 = 3.966134, x7 4.351286, 28 = = 6.010079, 29 = 4.944755, 10 = We assume that the distribution of each brick is a Cauchy random variable with location parameter 8. f(x0) = 1 π(1 + (x −0)²)*
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