Abstract: According to the limitations of the FLOM based direction of arrival (DOA) methods, inspired by the concept of correntropy, this letter proposes a new class of statistics, namely, the generalized correntropyanalogous statistics (GCAS), and the corresponding new estimation for DOA in the Alpha stable noise conditions. The simulation results show that the proposed GCAS-MUSIC algorithm is much better than those of the fractional lower order statistics based FLOM-MUSIC and PFLOMMUSIC algorithms under low SNR conditions and multi-source signals environment.