Author(s)

T.V. Hromadka II

Abstract

The Stochastic Integral Equation Method (or SIEM) has been shown to be a useful tool in analyzing modeling error associated to rainfall-runoff hydrograph models. Not only does the SIEM approximately develop a distribution of modeling error realizations to be added to a modeling result as applied to a runoff forecast, but the SIEM also enables rainfall-runoff models to be compared on equal flooring as to which model is the "best estimator" of a selected criterion variable (e.g., peak flow rate, 1-hour volume, etc.). In this paper, the SIEM is analyzed with respect to being applied as stochastic Toeplitz matrices. This application not only simplifies the SIEM approach, but also illuminates the theoretical underpinnings of the SIEM. A significant advantage obtained by use of th

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