Actuarial Notes

CAS Exam MAS-I Spring 2019, Question 18

Study guide: Exam MAS-I

You are given a random sample from a uniform distribution [0, \theta]:

1.3, \quad 2.7, \quad 8.2, \quad 5.3, \quad X

You find that the estimate of \theta using method of moments is equal to the estimate of \theta using the maximum likelihood.

Calculate the largest possible value of X.

  • A) Less than 4
  • B) At least 4, but less than 6
  • C) At least 6, but less than 8
  • D) At least 8, but less than 10
  • E) At least 10

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