INFERENCES BASED ON THE GROUPED OBSERVATIONS FROM THE BIVARIATE POWER-NORMAL DISTRIBUTION

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 powernormal 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.