LOGISTIC-NORMAL DISTRIBUTIONS - SOME PROPERTIES AND USES
成果类型：
Article
署名作者：
AITCHISON, J; SHEN, SM
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2335470
发表日期：
1980
页码：
261272
关键词：
摘要：
The logistic transformation applied to a d-dimensional normal distribution produces a distribution over the d-dimensional simplex which can sensibly be termed a logistic-normal distribution. Such distributions, implicitly used in a number of recent applications, are here given a formal identity and some useful properties are recorded. A main aim is to extend the area of application from the restricted role as a substitute for the Dirichlet conjugate prior class in the analysis of multinomial and contingency table data to the direct statistical description and analysis of compositional and probabilistic data. [Applications of this statistical tool in widely differing areas such as petrology, freshwater ecology, soil compositions and analysis of subjective performance in inferential tasks is discussed].