  In this work, a nearby luminous AGN sample is selected from HST, where only
sources with both X-ray emission observed by \textit{Chandra/XMM-Newton} and
radio flux detected by VLA/VLBA/VLBI/MERLIN are adopted to keep high precision.
We get a sample of 30 luminous AGNs finally, which consist of 11 RLAGN and 19
RQAGN. It is found that the relationship between $R_{\rm {UV}}$ and
$\alpha_{\rm {ox}}$, which was firstly reported by Li & Xie (2017) in LLAGN,
and other relationships are all absent in RLAGN, probably due to the complex
physical process therein. Our results indicate that the X-ray emission from jet
should play an important role in RLAGN and further support the transition of
accretion mode between LLAGN and RLAGN. On the other hand, the traditional
relationships in RQAGN, such as $\alpha_{\rm {ox}}$ and $\lambda$, $\Gamma$ and
$\lambda$, are found to be well consistent with previous works.
