Bayesian power-law regression with a location parameter,with applications for construction of discharge rating curves |
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| Authors: | Trond Reitan Asgeir Petersen-Øverleir |
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| Institution: | (1) Department of Mathematics, University of Oslo, P. O. Box 1053, Blindern, 0316 Oslo, Norway;(2) Norwegian Water Resources and Energy Directorate, P. O. Box 5091, Majorstua, 0301 Oslo, Norway |
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| Abstract: | This paper presents a Bayesian approach for fitting the standard power-law rating curve model to a set of stage-discharge
measurements. Methods for eliciting both regional and at-site prior information, and issues concerning the determination of
prior forms, are discussed. An efficient MCMC algorithm for the specific problem is derived. The appropriateness of the proposed
method is demonstrated by applying the model to both simulated and real-life data. However, some problems came to light in
the applications, and these are discussed. |
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| Keywords: | Power-law Location parameter Non-linear regression Bayesian statistics Stage-discharge Rating curve |
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