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We construct a tractable, flexible-functional-form estimator of cumulative distribution functions for non-negative random variables which admits large numbers of covariates. The estimator adopts and extends techniques from the spell-duration literature for estimating hazard functions to distribution functions for wages, earnings, and income. We apply these methods to investigate sources of wage inequality for full-time male workers between Canada and the United States, finding that the Canadian wage density has a thinner left tail because low-educated workers have higher pay and a thinner right tail because of a lower proportion of highly-educated workers. Unions appear to play a large role in these outcomes.
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Donald et al. (2000) studied this question.
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