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  • 标题:Generalised Shape Theory Via Pseudo-Wishart Distribution
  • 作者:José A. Díaz-García ; Francisco J. Caro-Lopera
  • 期刊名称:Sankhya. Series A, mathematical statistics and probability
  • 印刷版ISSN:0976-836X
  • 电子版ISSN:0976-8378
  • 出版年度:2013
  • 卷号:75
  • 期号:2
  • 页码:253-276
  • DOI:10.1007/s13171-013-0024-1
  • 语种:English
  • 出版社:Indian Statistical Institute
  • 摘要:The non isotropic noncentral elliptical shape distributions via pseudo-Wishart distribution are founded. This way, the classical shape theory is extended to non isotropic case and the normality assumption is replaced by assuming a elliptical distribution. In several cases, the new shape distributions are easily computable and then the inference procedure can be studied under exact densities. An application in Biology is studied under the classical gaussian approach and two non gaussian models.
  • 关键词:Shape theory ; maximum likelihood estimators ; zonal polynomials ; pseudo-Wishart distribution ; singular matrix multivariate distribution
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