Consider the geometric distribution, which has P(X = k) = (1 ) k1 . Assume in
Question:
Consider the geometric distribution, which has P(X = k) = (1 − θ)k−1 θ. Assume in our training data X took on the values 4, 2, 7, and 9.
a. Write an expression for the log-likelihood of the data as a function of the parameter θ.
b. What is the value of θ that maximizes the log-likelihood, i.e., what is the maximum likelihood estimate for θ?
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Related Book For
Artificial Intelligence A Modern Approach
ISBN: 9780134610993
4th Edition
Authors: Stuart Russell, Peter Norvig
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