On the derivatives of the normalising constant of the Bingham distribution

被引：14

作者：

Kume, A.

Wood, Andrew T. A. ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Univ Kent, Inst Math Stat & Actuarial Sci, Canterbury CT2 7NF, New Zealand

来源：

STATISTICS & PROBABILITY LETTERS | 2007年 / 77卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

complex Bingham distribution; directional statistics; shape analysis;

D O I：

10.1016/j.spl.2006.12.003

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

It is shown that an arbitrary joint partial derivative of the Bingham normalising constant, expressed in standard form, is proportional to the normalising constant of a Bingham distribution of higher dimension. Two consequences of this result are noted. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：832 / 837

页数：6

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