The Statistical Properties of the Equity Estimator
检验了Krishnamurthi和Rangaswamy提出的权益估计量,发现它不一致且均方误差未必优于最小二乘估计量;基于营销数据的蒙特卡洛实验表明,经验贝叶斯估计量的均方误差几乎总是远小于权益估计量。
In this article we consider the Equity estimator proposed by Krishnamurthi and Rangaswamy. We show that this estimator is inconsistent and does not necessarily improve on the mean squared error (MSE) of the least squares (LS) estimator. We perform a Monte Carlo experiment based on the price-promotion model used in marketing research, with marketing data, comparing the MSE of the Equity estimator to that of two empirical Bayes estimators and the LS estimator. We find that the empirical Bayes estimators have substantially smaller MSE than the Equity estimator in almost every case.