  In this paper, we generalized the Wijsman statistical convergence of closed
sets in metric space by introducing the $f$-Wijsman statistical convergence
these of sets, where $f$ is an unbounded modulus. It is shown that the Wijsman
convergent sequences are precisely those sequences which are $f$-Wijsman
statistically convergent for every unbounded modulus $f$. We also introduced a
new concept of Wijsman strong Ces\`{a}ro summability with respect to a modulus,
and investigate the relationships between the $f$-Wijsman statistically
convergent sequences and the Wijsman strongly Ces\`{a}ro summable sequences
with respect to $f$.
