简单生物生长模型中的对数正态分布

Lognormal Distribution in the Simple Growth Model

本文用统一的方法给出了简单生物生长模型中增长比向量un×l服从对数正态分布的条件,推广了Mosimann和Campbell[6]的相应结论,修正了[6]中一些错误,并导出了成分数据对数对比不相关的几个条件。我们还考虑了与形状向量独立的相对容量的表示问题。

In the paper some conditions, under which the growth rations vector V in the simple growth model has multivariate lognormal distribution, are given in a unified way. Some of the companions given by Mosimann and Campbell[G] are generalized and some are corrected. Some of the results are applied into the statistical analysis of the compositional data (CD). And several conditions that make CD be logratio uncorrelated are derived. The problem of the presentation of relative size being independent of the shape is considered. And the result given by Sampson and Siegel[8] is generalized in two directions.