I have monthly monsoon (june-october) discharge data of a river.How should I fit a distribution to it as data of (oct-May) is absent?

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Maria Del Pilar Cornejo-Rodriguez

You could work out the distribution for your data set but it would only be valid for the chosen period, hence you could not interpolated its results to a whole annual cycle. Also, it depends on how many years of data you have, with one season monthly data I wouldn't be correct to determine a statistical distribution.

Alastair Bain McDonald

As Cornejo-Rodriguez wrote, you cannot use the June-October data to interpolate for October to May. You know it is very different because of the monsoonal climate you have there. So you will have to find some date that relates to November to May to find that, e.g. is rainfal during the non-monsoon approximately zero?

Beware of using arguments such as: because the June to October 2015 was very wet then the Nov-May 2016 would be wetter than average too. It could well have been drier than average.

You could also look for data from Satellites such as TRMM (https://trmm.gsfc.nasa.gov) and use time series analysis to develop an statistical distribution and then compare your data with it.