Multivariate gamma distributions-properties and shape estimation
作者:
Teresa Kowalczyk,
Joanna Tyrcha,
期刊:
Statistics
(Taylor Available online 1989)
卷期:
Volume 20,
issue 3
页码: 465-474
ISSN:0233-1888
年代: 1989
DOI:10.1080/02331888908802197
出版商: Akademie-Verlag
关键词: Iterative procedure;maximum likelihood estimators;mode;moment estimators;positively quadrant dependence;skewness
数据来源: Taylor
摘要:
A sequence of suitably defined multivariate gamma distributions with decreasing skewness is proved to converge to the respective multivariate normal distribution. Other properties of multivariate gamma distributions are given, and the generation of pseudorandom numbers is presented. Parameter estimation is shown to reduce to the evaluation of shape parameter ? in the univariate case. A new estimator of ?, based on the mode of the smallest sample observation, is proposed. A simulation study suggests that the estimator performs better than several other estimators being in use
点击下载:
PDF (2093KB)
返 回