  We carried out a multiwavelength cross-correlation analysis of a sample of 16
blazars detected by Fermi/LAT. The purpose is to investigate if there exists
correlations between the distinct bands we analyze in this work. We searched
for cross-correlated delays between emissions in optical, near-infrared and
{\gamma}-ray bands for 16 blazars detected by Fermi-LAT, using three methods
previously discussed in the literature: the interpolated cross-correlation
function, the discrete cross-correlation function and the Z-transformed
discrete cross-correlation function. Our results confirm the expectation that
in all our sample the four NIR bands vary simultaneously. For three objects of
our sample (3C 273, Mrk 501, and PMN J0808-0751), no correlation is found
between any of the bands available for this study. For the remaining thirteen,
a correlation was found between the V band and the NIR bands, indicating that
in most of them the V band and the NIR bands vary simultaneously. For 4 objects
(3C 454.3, PKS 0235+164, PKS 1510-089, and PKS 2155-304) a delayed correlation
between the {\gamma}-ray emission and the NIR+V bands was found.
