Probability Distributions for Drought and Precipitation in Different US Regions

We examine the probability distribution of number of weeks without precipitation for different regions in the US. We find that probability distributions for drought are similar to probability distributions for precipitation. We also examine the fit of probability distributions over different time periods. We found that while in most cases the Weibull distribution fit the best, in a few circumstances no probability distribution fit very well. We examine the consequences of this and draw comparisons to other highly correlated systems.