  We study Majorana edge states and their topological properties of
one-dimensional(1D) and two-dimensional(2D) Rashba semiconductor deposited on
iron-based superconductor under the applied Zeeman field for various
directions. Using the recursive Green's function method, we calculate the local
density of states(LDOS) both for $s_{\pm}$ and $s_{++}$-wave pairings. We
elucidate that it shows anisotropic response to the applied Zeeman field
specific to Majorana edge states. This anisotropy can be understood by the
winding number, which shows whether the present system is topological or not.
The resulting LDOS and winding numbers for $s_{\pm}$ and $s_{++}$-wave pairings
are significantly different at the lower Zeeman field. These results serve as a
guide to determine the pairing symmetry of iron-pnictide.
