Let Y1, . . . , YN be a random sample from the Normal distribution Yi ∼ N(ln β, s2) where s2 is known. Find the maximum likelihood estimator of b from first principles.

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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Let Y1, . . . , YN be a random sample from the Normal distribution Yi ∼ N(ln β, s2) where s2
is known.

Find the maximum likelihood estimator of b from first principles.
Find the Score function, the estimating equation and the information matrix.

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