The transverse-random-field mixed Ising model consisting of arbitrary
spin values has been studied by combining the pair model approximation
with discretized path-integral representation. The phase diagrams of
systems with mixed spins: sigma=1/2, S=1; sigma=1/2, S=3/2 and sigma=1
, S=2 are plotted. Not only the discontinuity at T=0 K is found betwee
n the trimodal and bimodal distributions of transverse fields, which i
s similar to the single-spin counterpart, but also the tricritical beh
avior is observed in these phase diagrams when both transverse fields
are trimodal distributed, which is different from the single-spin one.
The appearance of tricritical point is independent of the coordinatio
n number and spin values.