Abstract
In this paper, we have investigated the relationship between the two variables in which observations of the two variables were grouped into several intervals, when the bivariate power-normal distribution proposed by Goto et al. (1980) were fitted to these observations. The results of some numerical examples showed that the bivariate power-normal distribution would be helpful to “regularize” the observations even when the strict bivariate normality was not achieved. Also, a bivariate normal problem was considered in the framework developed in fitting the bivariate power-normal distribution to the grouped observations.
