Noncentral elliptical configuration density

JOURNAL OF MULTIVARIATE ANALYSIS

卷:101

Article

Caro-Lopera, Francisco J.¹  Diaz-Garcia, Jose A.²  Gonzalez-Farias, Graciela³ 

[1] Ctr Invest Matemat, Dept Basic Math, Guanajuato 36240, Mexico

[2] Univ Autonoma Agr Antonio Narro, Dept Stat & Computat, Saltillo 25315, Coahuila, Mexico

[3] Ctr Invest Matemat, Dept Stat, Guanajuato 36240, Mexico

关键词: Statistical shape theory;    Configuration density;    Elliptically contoured distributions;    Zonal and invariant polynomials;    Matrix variate Kotz;    Pearson;    Bessel and Jensen-logistic distributions;   

DOI  :  10.1016/j.jmva.2009.03.004

来源: Elsevier

【 摘 要 】

The noncentral configuration density, derived under an elliptical model, generalizes and corrects the Gaussian configuration and some Pearson results. Partition theory is then used to obtain explicit configuration densities associated with matrix variate symmetric Kotz type distributions (including the normal distribution), matrix variate Peat-son type VII distributions (including t and Cauchy distributions), the matrix variate symmetric Bessel distribution (including the Laplace distribution) and the matrix variate symmetric Jensen-logistic distribution. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free