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Bivariate frequency analysis: discussion of some useful concepts in hydrological application
Author(s) -
Yue Sheng,
Rasmussen Peter
Publication year - 2002
Publication title -
hydrological processes
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.222
H-Index - 161
eISSN - 1099-1085
pISSN - 0885-6087
DOI - 10.1002/hyp.1185
Subject(s) - bivariate analysis , joint probability distribution , univariate , return period , extreme value theory , multivariate statistics , storm , econometrics , flood myth , joint (building) , marginal distribution , multivariate normal distribution , conditional probability distribution , computer science , statistics , mathematics , meteorology , geography , random variable , architectural engineering , archaeology , engineering
Basic concepts such as conditional probability distributions, conditional return periods, and joint return periods are important to understand and to interpret multivariate hydrological events such as floods and storms. However, these concepts are not well documented in the open literature. This paper assembles and clarifies these concepts, and illustrates their practical utility. Relationships between joint return periods and univariate return periods are also derived. These concepts and relationships are demonstrated by applying a bivariate extreme value distribution to represent the joint distribution of flood peak and volume from an actual basin. Copyright © 2002 John Wiley & Sons, Ltd.