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Determine (a) the score function s, (b) the Fisher information I. 1

Determine (a) the score function s, (b) the Fisher information I. 1

Calculus For The Life Sciences
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 7CR
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(1) Recall that the probability mass function f for Poisson random variable X is given by be a 9 ƒ (k) = P [X = k] = e-for k = 0, 1, 2, ..., where A is the parameter. Let x₁, ... XJ sequence of J independent samples of X. Denote the log likelihood function by l, namely, J l(X|x₁,...,xj) Determine (a) the score function s, (b) the Fisher information I. = j=1 In P [X = x₂] .
Transcribed Image Text:(1) Recall that the probability mass function f for Poisson random variable X is given by be a 9 ƒ (k) = P [X = k] = e-for k = 0, 1, 2, ..., where A is the parameter. Let x₁, ... XJ sequence of J independent samples of X. Denote the log likelihood function by l, namely, J l(X|x₁,...,xj) Determine (a) the score function s, (b) the Fisher information I. = j=1 In P [X = x₂] .
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