HADES RV Programme with HARPS-N at TNG

We present the complete Bayesian statistical analysis of HArps-n red Dwarf Exoplanet Survey (HADES), which monitored radial velocities a large sample M dwarfs with HARPS-N at TNG, over last 6 years. The targets were selected in narrow range spectral types from M0 to M3, $0.3$ M$_\odot < M_\star 0.71$ M$_\odot$, order study planetary population around well-defined class host stars. take advantage statistics derive an accurate estimate detectability function survey. Our also includes application Gaussian Process approach into account stellar activity induced velocity variations, and improve detection limits, most-observed most-active targets. Markov chain Monte Carlo process technique we apply this has proven very effective M-dwarf systems, helping most HADES planets. From can calculate occurrence rate small mass planets early-M dwarfs, either taking only 11 already published or adding 5 new candidates discovered analysis, compare them previous estimates planet Solar-type stars: considering confirmed planets, find highest frequency for low-mass ($1$ M$_\oplus m_p \sin i 10$ M$_\oplus$) periods $10$ d$ P 100$ d, $f_\text{occ} = 85^{+5}_{-19}\%$, while short-period d) 10.3^{+8.4}_{-3.3}\%$, significantly lower than later-M dwarfs. These results, their comparison other surveys focused on different types, confirms central role that plays formation evolution systems.