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Statistical Decision Theory Techniques for the Revision of Mean Flood Flow Regression Estimates
Author(s) -
Shane Richard M.,
Gaver Donald P.
Publication year - 1970
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/wr006i006p01649
Subject(s) - statistics , mathematics , regression , linear regression , regression analysis , mean squared error , bayesian linear regression , regression dilution , flood myth , regression toward the mean , bayesian probability , bayesian multivariate linear regression , econometrics , bayesian inference , geography , archaeology
Two statistical estimating procedures are presented for using regression information along with direct observations to obtain estimates of the expected value of peak flood discharge rates exceeding a constant base. The first type of estimate represents the minimum mean squared error linear combination of regression and direct estimates, whereas the second is a Bayesian estimate based on an objective prior distribution associated with the regression model. A comparison of combined estimates to regression and direct estimates used alone indicates that a significant reduction in the mean squared error is obtained by using combined estimates. A comparison of the two methods for obtaining a combined estimate indicates that in many cases they both give essentially the same result.
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