  In this paper, we study the $\mu$-ordinary locus of a Shimura variety with
parahoric level structure. Under the axioms in \cite{HR}, we show that
$\mu$-ordinary locus is a union of some maximal Ekedahl-Kottwitz-Oort-Rapoport
strata introduced in \cite{HR} and we give criteria on the density of the
$\mu$-ordinary locus.
