Q6. Let us assume that the lifetime of light bulbs follows an exponential distribution with the pdf: f(x) = A exp(-Ax) We test 10 bulbs and their lifetimes are 5, 3, 5, 1, 7, 3, 4, 8, 2, 3 years, respectively. What is the MLE for 1? What is the method of moments estimator for 1?

Q6. Let us assume that the lifetime of light bulbs follows an exponential distribution with the pdf: f(x) = A exp(-Ax) We test 10 bulbs and their lifetimes are 5, 3, 5, 1, 7, 3, 4, 8, 2, 3 years, respectively. What is the MLE for 1? What is the method of moments estimator for 1?

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.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 7CR

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Estimation

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Q6. Let us assume that the lifetime of light bulbs follows an exponential distribution with the pdf:
f(x) = A exp(-Ax)
We test 10 bulbs and their lifetimes are 5, 3, 5, 1, 7, 3, 4, 8, 2, 3 years, respectively. What is the MLE for A? What
is the method of moments estimator for A?

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