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Plotting positions of annual flood extremes considering extraordinary values
Author(s) -
Zhang Yongping
Publication year - 1982
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/wr018i004p00859
Subject(s) - weibull distribution , statistics , reciprocal , flood myth , mathematics , probability distribution , order statistic , variable (mathematics) , sample (material) , hydrology (agriculture) , geography , geology , mathematical analysis , physics , geotechnical engineering , archaeology , philosophy , linguistics , thermodynamics
A generalized plotting position formula for estimation of the recurrence interval or its reciprocal, the exceedance probability of hydrologic events in an incomplete data sample containing both extraordinarily large and small historical values, is derived. The derivation is based on order statistics analysis and is independent of the probability distribution of the hydrologic variable. It is shown that the Weibull formula is a special case of the generalized formula.