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1 2007

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On a coefficient of uncertainty based on the condition number of the matrix of observations

Grzybowski A.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2007

Vol. 6, nr 1

69-74

The paper is devoted to the problem of incorporating prior information into regression model estimation. We assume the prior information about regression parameter is derived from regression analysis applied to some phenomenon described by the same regression equation. However, usually the prior information is uncertain. On the base of computer simulation we construct a coefficient which allows incorporating the prior information along with its uncertainty. The coefficient is based upon the index number of the matrix of observations of the explanatory variables. Performance of estimators based upon the coefficient of uncertainty is examined through computer simulations.