The Gumbel mixed model applied to storm frequency analysis

被引：53

作者：

Yue, S ^{[1
]}

机构：

[1] Environm Canada, MSC OR, CCIW, Burlington, ON L7R 4A6, Canada

来源：

WATER RESOURCES MANAGEMENT | 2000年 / 14卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

bivariate extreme value distribution; conditional distribution; Gumbel distribution; joint probability distribution; marginal distribution; storm frequency analysis;

D O I：

10.1023/A:1011124423923

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

A bivariate extreme value distribution, namely the Gumbel mixed model constructed from Gumbel marginal distributions is employed to analyze the joint distribution of correlated storm peak (maximum rainfall intensity) and amount. Based on its marginal distributions, the joint distribution, the conditional probability distribution, and the associated return periods can be deduced. Parameters of the bivariate distribution model are estimated based on its marginal distributions by the method of moments (MM). The usefulness of the model is demonstrated by using it to represent multivariate storm events at the Niigata meteorological station in Japan.

引用

页码：377 / 389

页数：13

共 22 条

[1] [Anonymous], 1993, 100 Statistical Tests
[2] BIVARIATE EXTREME-VALUE DATA AND THE STATION-YEAR METHOD
BUISHAND, TA
[J]. JOURNAL OF HYDROLOGY, 1984, 69 (1-4) : 77 - 95
[3] Castillo Enrique., 1988, EXTREME VALUE THEORY
[4] Coles S., 1994, APPL STAT-J ROY ST C, V43, P1
[5] COLES SG, 1991, J ROY STAT SOC B MET, V53, P377
[6] Cunnane C., 1987, Hydrol. Freq. Model, P49, DOI [DOI 10.1007/978-94-009-3953-0_4, 10.1007/978-94-009-3953-0_4]
[7] A PLOTTING RULE FOR EXTREME PROBABILITY PAPER
GRINGORTEN, II
[J]. JOURNAL OF GEOPHYSICAL RESEARCH, 1963, 68 (03): : 813 - +
[8] Gumbel E.J, 1960, B INT STAT I, V39, P471
[9] Gumbel E. J., 1960, PUBL I STAT U PARIS, V9, P171
[10] Gumbel E. J., 1958, Statistics of Extremes

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