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Aims: In this study, we aim at investigating the properties of the activelongitude system of the young solar analogue HD 116956 in detail, especiallyconcentrating on determining the rotation period of the spot-generatingmechanism with respect to the photometric rotation period of the star itself.Because the nonparametric approach, like the Kuiper method, can only give theperiod of active longitudes, we formulate a new method that can determine theparameters the active longitude distribution uniquely.  Methods: For this purpose, we have developed an analysis method, based onBayesian statistics using Markov chain Monte Carlo, presented in thismanuscript. One of the advantages of this method is that an estimate of theactive longitude system rotation period, as well as the parameters of the shapeand location of the active longitudes together with their respective errorestimates. This allows us to compare the active longitude and mean photosphericrotation periods of the star.  Results: Our analysis confirms previous results of the object having twostable active longitudes with a phase difference of Delta phi = 0.5, the otherlongitude having dominated over the other one during almost the entire span ofthe time series. Our method gives the rotation period of the active longitudesystem P_al = 7.8412 +- 0.00002 d, which is significantly different from themean photospheric rotation period of the star P_rot = 7.817 +- 0.003 d.  Conclusions: Our analysis indicates that the spot-generating mechanism,manifesting itself as a system of two active longitudes, is lagging behind theoverall rotation of the star. This behaviour may be interpreted as anonaxisymmetric dynamo wave propagating in the rotational reference frame ofthe stellar surface.

Analysing the active longitudes of the young solar analogue HD 116956 using Bayesian statistics