Actuarial Notes

SOA Exam FAM Sample Question 89

Study guide: Exam FAM

The following random sample of five claims is drawn from a Pareto distribution with parameters \alpha (unknown) and \theta = 1:

1.2 \qquad 1.6 \qquad 1.4 \qquad and two other values that exceed 2.0

Calculate the maximum likelihood estimate of \alpha.

  • A) 0.62
  • B) 0.72
  • C) 0.94
  • D) 1.04
  • E) 1.15

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