A notion of almost contact metric statistical structure is introduced and thereby contact metric and K-contact statistical structures are defined. Furthermore a necessary and sufficient condition for a contact metric statistical manifold to admit K-contact statistical structure is given. Finally, the condition for an odd-dimensional statistical manifold to have K-contact statistical structure is expressed.

中文翻译：

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关于接触度量统计流形

引入了几乎接触度量统计结构的概念，从而定义了接触度量和K接触统计结构。此外，给出了接触度量统计流形接受K接触统计结构的必要和充分条件。最后，表达了奇维统计流形具有K接触统计结构的条件。