It is proved that the sum of n independent but non-identically distributed doubly truncated Normal distributions converges in distribution to a Normal distribution. It is also shown how the result can be applied in estimating a constrained mixed effects model.

翻译：事实证明,独立但非识别性分布的双重缺损正常分布的总和在分配到正常分布时会趋于一致,并表明在估计受限制的混合效应模式时如何应用结果。