Border Estimation of a Two-dimensional Uniform Distribution if Data are Measured with Additive Error (CROSBI ID 132456)
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Benšić, Mirta ; Sabo, Kristian
engleski
Border Estimation of a Two-dimensional Uniform Distribution if Data are Measured with Additive Error
The paper considers estimation of the boundary of an elliptical domain when the data without a measurement error are distributed uniformly on this domain but are superimposed by random errors. The problem is solved in two phases. In the first phase the domain is subdivided into thin slices and the endpoints of these slices are estimated within the framework of a corresponding one-dimensional problem. In the second phase the estimated endpoints are used to estimate the boundary using the total least squares curve fitting procedure.
maximum likelihood estimator; measurement error;
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