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In this paper, the earlier work on so-called "power-normal distribution" is extended to a multivariate case, especially focusing on a bivariate one. The power-normal distribution is a family of distributions including the truncated normal and the lognormal. The present work introduces the moments and other related properties of the bivariate power-normal distribution. The numerical illustrations are provided to demonstrate the elements and the applications of the distribution.
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Goto et al. (2002) studied this question.
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