CAS Exam MAS-I Spring 2018, Question 40
Study guide: Exam MAS-I
An actuary fits a Poisson distribution to a sample of data, X.
f(x) = \frac{\theta^x e^{-\theta}}{x!}
To assure convergence of the maximum likelihood fitting procedure, the actuary plots three quantities of interest across different values of \theta:
Determine which of the three plots the actuary can use to visually approximate the maximum likelihood estimate for \theta.
- A) None can be used
- B) I and II only
- C) I and III only
- D) II and III only
- E) The answer is not given by (A), (B), (C), or (D)
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