Abstract
AbstractThe normal-normal (NN) distribution is not a subfamily of the pseudo-normal (PN), but an approximation to a distribution in the PN using the discrete normal distribution in place of the usual normal under sectional truncation. Though the discrete normal distribution takes normal densities at finite/infinite points approximating the truncated normal, the discrete distribution is not necessarily a truncated one. Their moment generating function and representations by mixture, convolution and regression are given.
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