Asymptotic minimax calibration estimates

This paper gives methods that use measurements from calibrated instruments in an effective and understandable manner. While some chemometric methods such as partial least squares might be considered, the procedures that we use are more transparent. In this paper two simple methods are proposed that use standard and saddlepoint approximations to combine nonlinear estimates from different regions of the instrument response. The asymptotic accuracy of the approximations is discussed. A worked example is given. A simulation study is also reported that supports our recommendations.