Problem 57605. Determine flows of given probability using empirical frequency analysis
Write a function that takes as input n observations of peak streamflow and exceedance probabilities expressed as percentages and returns the flows corresponding to the probabilities.
Use the empirical method of frequency analysis. Sort the observed flows in decreasing order and assign a rank m (e.g., the highest flow has ). If a flow occurs multiple times, assign to that flow the average of the ranks attached to the multiple occurrences. Then compute the exceedance probabilities (in percent) with . Compute the flows corresponding to the requested exceedance probabilities with linear interpolation and return NaN for any probabilities that fall outside the range.
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