CAS Exam MAS-I Spring 2018, Question 17

Study guide: Exam MAS-I

You are given the following information:

• A random variable, X, is uniformly distributed on the interval (0, \theta).
• \theta is unknown.
• For a random sample of size n, an estimate of \theta is Y_n = \max\{X_1, X_2, \ldots, X_n\}.

Determine which of the following is a consistent estimator of \theta.

• A) Y_n
• B) Y_n / (n - 1)
• C) Y_n \cdot (n + 1)
• D) Y_n \cdot (n + 1) \cdot (n - 1)
• E) Y_n / (n + 1)

Answer this question and see the worked solution

Concepts tested

• Consistency
• Order Statistics
• Uniform Continuous Distribution

More questions from this set

• CAS Exam MAS-I Spring 2018, Question 16
• CAS Exam MAS-I Spring 2018, Question 18