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Applications of the Theory of Runs to Hydrology
Author(s) -
RodríguezIturbe Ignacio
Publication year - 1969
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/wr005i006p01422
Subject(s) - sequence (biology) , mathematics , hydrology (agriculture) , combinatorics , constant (computer programming) , geology , computer science , geotechnical engineering , chemistry , biochemistry , programming language
The problem of runs is one of long history among hydrologists. Classically a run is defined as a sequence of observations of the same kind preceded and succeeded by one or more observations of a different kind. Considering a sequence of random variables x n , n = 0, 1, 2,. and choosing a constant x 0 , one may arbitrarily classify the n th year as a surplus year if x n > x 0 and call x n − x 0 the surplus. Similarly if x n ≤ x 0 , the n th year is a deficit year with the deficit x 0 − x n [ Downer et al ., 1967].