Bias Of The Estimator Double Sampling For Multiple Linear Regression And Estimate Of Mean Square Errors Of This Estimator

Bias of the Estimator of Double Sampling for Multiple Linear Regression and Estimate of Mean Square Errors of this Estimator Fan lishu Abstract The estimate of double sampling for linear regression of y on x is usually used to improve the estimate precision, but in many cases, the relation between y aridx can抰 be described by a linear function arid sometimes the target quantity y might have relation to several influence variables, when y is a nonlinear fun Ction of x, it can be fitted by a niultinomial of x while multinomiai regession may he tranformed into multiple linear regression, similarly, multiple curve regression can also be transformed into it. Therefore, multiple linear regression has awide application in practice. This paper not only provides the estimator of double sampling for multiple linear regression and its bias, the primary terms & mean square errors of the csti? mator and its estimator, but also proves their properities.