F 1 (y) = 1 exp ( y) for y > 0 is a negative exponential cdf with parameter , and F 2 (y)

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.