  The main objective of this work is to study the existence of spatial patterns
maximum annual rainfall (through daily observations) within the territory of
Uruguay and to show the application of two new statistical tools recently
proposed. In the first stage, the distributions of maximum annual precipitation
at each meteorological station will be studied. In the second stage, spatial
clustering methods will be applied. To get the distribution of the maximum of
each station, we have used a truncated Cram\'er-von Mises hypothesis test (the
first statistical tool) and showed that it improves on the performance of the
classic likelihood ratio test. It was found that in 18 study locations the
distribution that best fits the data is of the Gumbel type, and for the other
two, it is of the Fr\'echet type. Regarding the clustering methods, two
methodologies were used, one of them was to perform clustering with the
estimated parameters and the other was the PAM methodology using the F-madogram
as distance, highlighting the homogeneity throughout the Uruguayan territory.
Another novelty of this work (the second statistical tool) consists in
including, as a complement to the clustering, the recently proposed
independence test based on recurrence rates.
