There are a few mistakes in this paper. One figure, one equation and three references have to be corrected. The figure 10(e) of section 3.3 was inadvertently replaced by figure 10(c). The correct figure 10(e) is the following: In appendix C two minus signs are missing in equation (C.6c). The corrected equation is: (Formula Presented). (Figure Presented). The correct writing of [91-93] is the following: 91] Yudin V I, Taichenachev A V, Basalaev M Y, Zanon-Willette T, Pollock J W, Shuker M, Donley E A and Kitching J 2018 Generalized auto-balanced Ramsey spectroscopy Phys. Rev. Appl. 9 054034  Abdel Hafiz M, Coget M, Petersen M, Rocher C, Zanon-Willette T, Guerandel S, de Clercq E and Boudot R 2018 Toward a high-stability coherent population trapping Cs vapor-cell atomic clock using autobalanced Ramsey spectroscopy Phys. Rev. Appl. 9 064002  Abdel Hafiz M, Coget M, Petersen M, Calosso C E, Guerandel S, de Clercq E and Boudot R 2018 Symmetric autobalanced Ramsey interrogation for high-performance coherent population trapping vapor-cell atomic clock Appl. Phys. Lett. 112 244102.