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Suppose X has a Pareto distribution with = 2 and = 1000 and Y has a loglogistic distribution with parameters = r and = 1000.

Suppose X has a Pareto distribution with = 2 and = 1000 and Y has a loglogistic

distribution with parameters = r and = 1000.

Using the ratio of distribution functions, for what values of r is (a) Y heavier tailed than X?

(b) Y lighter tailed than X?

(c) X and Y have similar tails?

image text in transcribed
3. (10 points) Suppose X has a Pareto distribution with a = 2 and 0 = 1000 and Y has a loglogistic distribution with parameters y = rand 0 = 1000. Using the ratio of distribution functions, for what values of r is (a) Y heavier tailed than X? (b) Ylighter tailed than X? (c) X and Y have similar tails

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