Actuarial Notes

Exam MAS-I Practice Question 45

Study guide: Exam MAS-I

Nine losses are observed:

85,\quad 130,\quad 210,\quad 340,\quad 400,\quad 560,\quad 780,\quad 1{,}150,\quad 1{,}900

A loglogistic distribution, with CDF

F(x) = \frac{(x/\theta)^{\gamma}}{1 + (x/\theta)^{\gamma}}, \qquad x > 0,

is fitted by percentile matching at the 25th and 75th smoothed empirical percentiles.

Calculate the estimate of \gamma. Give your answer to two decimal places.

Answer this question and see the worked solution

Concepts tested

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