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Special attention is paid to models with errors satisfying the law of large numbers.
Econometricians were the first to extensively study models with errors in the variables, and their use in econometrics became widespread Anderson, (1984).
Multiple linear regression models with errors capable of correlation or with unequal variances were fitted using the generalized least squares.
Multiple linear regression models with errors that were correlated or had unequal variances were fitted using the generalized least squares and maximum likelihood estimation.
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The study of statistical models with error invariables is a well-developed area of statistical and psychometric inquiry.
The use of these reduced models with error control in reacting flow simulations is demonstrated through an Adaptive Chemistry example.
Theorem 1: Suppose the weak learning algorithm (h in varvec{h}), when called by boosting algorithm, generates hypothetical forecast models with error (varepsilon_{1}, ldots,varepsilon_{T}).
We developed consumer credit scoring models with error back-propagation artificial neural networks and checked their efficiency against models developed with logistic regression.
PLS-DA models with error rates below 30% were optimized by performing variable selection based on a jackknife approach.
To ensure the reliability of the results, models with error rate of more than 25% were excluded from further analysis.
Methods were evaluated by fitting models with error function and absolute sigmoid protection curves to bootstrap datasets from the 27 combinations of protection curve and illustrative dataset for which maximum likelihood estimates (MLEs) had been found.
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