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统计流形在切丛上提升的等积仿射结构

Keywords: 统计流形,对偶联络,等积仿射结构,完全提升,切丛

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Abstract:

具有等积仿射结构的统计流形在贝叶斯统计理论中有着重要应用,主要讨论统计流形及其切丛上的等积仿射结构,得到了统计流形的无挠仿射联络和其在切丛上提升的仿射联络的等积仿射性是一致的.

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