Combining Independent Studies in a Calibration Problem
校准问题中独立研究的组合
The problem of calibration in which the response variable is measured by k different methods or using different instruments is considered. It is well known that the usual classical estimator for the unknown explanatory variable has infinite mean and mean squared error when k = 1. In this article a linear combination of the classical estimators is proposed. It is shown that the combined estimator has finite mean provided that k ≥ 2 and finite mean squared error provided that…