F 1 (y) = 1 exp ( y) for y > 0 is a negative exponential

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F1(y) = 1 – exp (– λy) for y > 0 is a negative exponential cdf with parameter λ, and F2(y) = 1 – exp(– µy) for y > 0. Show that the difference between the cdf’s on a complementary log-log scale is identical for all y. Give implications for categorical data analysis.

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