Abstract: This article is based on the series of annual minimum temperature at 67 national weather stations in Fujian province from 1951 to 2010; analyzed the temporal and spatial distribution of the minimum temperature, and utilized Gumbel distribution function to make simulations for annual minimum temperature in Fujian and applied two methods to estimation of parameters, i.e., squares method and Gumbel’s method of minimum likelihood. The fitting results showed that squares method is better then the Gumbel’s method, and the estimation of annual minimum temperature for different reappearance periods with the Gumbel’s method is better.

Key words:  The minimum temperature, Probability distribution, Parameter estimation