Hi Sultan you should draw ...
Published by Fereshteh Modaresi, Assisstant Professor at University of Tehran
Hi Sultan
you should draw Thiessen polygon for all three stations by ArcGIS software. Then you should calculate shared area between the polygon of each station and the basin, which is the effective weight (wi) of each station on the rainfall of the basin. finally, you can calculate weighted average of the stations as follows:
(wi*p1+w2*p2+w3*p3)/(w1+w2+w3)
pi: rainfall of the station i
w1+w2+w3= area of the basin
The calculation of the shared area (wi) is also possible by the use of ArcGIS.