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Kenmotsu geometry is a valuable part of contact geometry with niceapplications in other fields such as theoretical physics. In this article, westudy the statistical counterpart of a Kenmotsu manifold, that is, Kenmotsustatistical manifold with some related examples. We investigate somestatistical curvature properties of Kenmotsu statistical manifolds. We provethat a Kenmotsu statistical manifold is not a Ricci-flat statistical manifoldwith an example. Finally, we prove a very well-known Chen-Ricci inequality forstatistical submanifolds in Kenmotsu statistical manifolds of constant$\phi-$sectional curvature by adopting optimization techniques on submanifolds.This article ends with some concluding remarks.

Extremities for statistical submanifolds in Kenmotsu statistical manifolds