Statistical Manifolds of univariate elliptic distributions

Statistical Manifolds of univariate elliptic distributions
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单变量椭圆分布的统计流形

DOI:
10.2307/1403358
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发表时间:
1988
影响因子:
2
通讯作者:
Ann F. S. Mitchell
Ann F. S. Mitchell
中科院分区:
数学3区
文献类型:
--
作者:
Ann F. S. Mitchell

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单变量椭圆分布类提供了对Amari(1985)和Lauritzen(1984)统计流形思想的深入了解。共轭对称性和平坦性的条件推导和几何估计的例子研究一般和正常的背景下,柯西和学生的t-分布。
Summary The class of univariate elliptic distributions provides insight into the ideas on statistical manifolds of Amari (1985) and Lauritzen (1984). Conditions for conjugate symmetry and flatness are derived and examples of geometrical estimation studied generally and in the context of the normal, Cauchy and Student's t-distributions.