We specify and estimate an equilibrium job search model with productivity d
ifferences across labour market segments. The model allows for two types of
unemployment: frictional unemployment due to search frictions and structur
al unemployment due to wage floors. Wage floors exist because of high unemp
loyment benefits or binding minimum wages. The productivity distribution is
estimated semi-nonparametrically along the lines of Gallant-Nychka, using
Hermite series approximation. We decompose the total unemployment rate and
we exam inc the effects of changes in the minimum wage.