  We have investigated the effect of site dilution with substitution of
nonmagnetic element in SrRu$_{1-x}$Ti$_x$O$_3$ ($x$ $\leq$ 0.7). The nature of
ferromagnetic state in SrRuO$_3$ is believed to be of itinerant type with
transition temperature $T_c$ $\sim$ 162 K. Crystallographically, SrRuO$_3$ has
a distorted orthorhombic structure. Substitution of Ti$^{+4}$ (3$d^0$) for
Ru$^{+4}$ (4$d^4$), however, does not introduce significant structural
modification due to their matching ionic radii. This substitution, on the other
hand, is expected to tune the electronic correlation effect and the $d$
electron density in system. With Ti substitution, we find that magnetic moment
and Curie temperature decreases but $T_c$ remains unchanged which has been
attributed to opposite tuning of electron correlation effect and density of
states within framework of itinerant ferromagnetism. The estimated critical
exponent ($\beta$) related to magnetization implies a mean-field type of
magnetic nature in SrRuO$_3$. The value of $\beta$ further increases with $x$
which is understood from the dilution effect of magnetic lattice. The system
evolves to exhibit Griffiths phase like behavior above $T_c$ which is usually
realized in diluted ferromagnet following local moment model of magnetism. Our
detail analysis of magnetization data indicates that magnetic state in
SrRuO$_3$ has contribution from both itinerant and local moment model of
magnetism.
