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Network design for the estimation of areal mean of rainfall events
Author(s) -
Bras Rafael L.,
RodríguezIturbe Ignacio
Publication year - 1976
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr012i006p01185
Subject(s) - multivariate statistics , mean squared error , sampling (signal processing) , event (particle physics) , estimation , process (computing) , precipitation , statistics , computer science , stochastic process , homogeneous , sampling design , mathematical optimization , mathematics , meteorology , geography , engineering , systems engineering , population , physics , demography , filter (signal processing) , quantum mechanics , combinatorics , sociology , computer vision , operating system
This work recognizes rainfall as a multidimensional stochastic process. By using the knowledge of such processes and of multivariate estimation theory a procedure for designing an optimal network to obtain the areal mean precipitation of an event over a fixed area is developed. The methodology used in this problem allows consideration of the following aspects of network design: (1) spatial uncertainty and correlation of process, (2) errors in measurement techniques and their correlation, and (3) non‐homogeneous sampling costs. Optimal networks are given in terms of the number and location of stations together with the resulting cost and mean square error of rainfall estimation.