Asymptotic Properties of Estimates of the Power-Transformation Model to Bivariate Grouped Data

We investigate the asymptotic properties of maximum likelihood estimates of the power-transformation model to bivariate grouped data discussed by Hamasaki and Goto (1998a). The previous works deal with the most elementary situations of bivariate and simple regressions. We consider the three situations, i.e., (i) both variables given in grouped form, (ii) only one variable given in grouped form and (iii) the response involving both grouped and ungrouped data. We also provide one example to illustrate the application of the proposed method.