We study statistical submersions between statistical manifolds. In particular, we establish Chen–Ricci inequalities of statistical submersions between statistical manifolds and a δ(2, 2) Chen-type inequality for statistical submersions. Some applications are also given.

中文翻译：

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统计流形之间统计淹没的陈不等式

我们研究统计流形之间的统计淹没。特别是，我们建立了统计流形和一个δ(2, 2)统计淹没的陈型不等式。也给出了一些应用。