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AMS classifications: 62G20; 62G32;
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-generation process, the least-squares estimators have smaller bias (in fact zero bias) but larger variances in the long regression than … in the short regression. But if the long regression is also misspecified, the bias may not be smaller. We provide bias …
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Geographically weighted small area methods have been studied in literature for small area estimation. Although these approaches are useful for the estimation of small area means efficiently under strict parametric assumptions, they can be very sensitive to outliers in the data. In this paper, we...
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covariates. Analytic expressions for the first-order bias and second-order mean squared error function for the maximum likelihood … results for the single covariate case. For various data distributions, the bias of the estimator is signed the same as the … covariate’s coefficient, and both the absolute bias and the mean squared errors increase symmetrically with the absolute value …
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omitted] , [image omitted] , and [image omitted] . We also analyzed the bias and the mean squared error in each case. The new …
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analytic bias-corrected estimators are also found to be superior to the alternative of bias-correction via the bootstrap. … generalized Rayleigh distribution family. Using these expressions to bias-correct the estimators is found to be extremely … effective in terms of bias reduction, and generally results in a small reduction in relative mean squared error. In general, the …
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