Actuarial Notes

SOA Exam FAM Sample Question 56

Study guide: Exam FAM

For a group of policies, you are given:

(i) Losses follow the distribution function

F(x) = 1 - \theta/x, \quad x > \theta.

(ii) A sample of 20 losses resulted in the following:

Interval Number of Losses
(0,10] 9
(10, 25] 6
(25, \infty) 5

Calculate the maximum likelihood estimate of \theta.

  • A) 5.00
  • B) 5.50
  • C) 5.75
  • D) 6.00
  • E) 6.25

Answer this question and see the worked solution

Concepts tested

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