In this paper we prove the asymptotic normality of two statistics which have been proposed to test the hypothesis that two samples come from the same parent population. One statistic is the number of ...

Multivariate normality testing plays a critical role in modern statistical analysis by evaluating whether a multivariate dataset conforms to the assumptions of a normal distribution. Such assessments ...

This is a preview. Log in through your library . Abstract The mean and the variance of a random sample are independently distributed if and only if the parent population is normal. This ...

In this method, the observed numbers of cases falling into each of the intervals have been found above. Now, assuming that the null hypothesis is true, the expected numbers in each of the intervals ...