Estimating and testing the common mean direction of several von mises populations with known concentrations
Björn Holmquist · Stochastic Analysis and Applications · 1988
We give procedures for testing hypotheses and estimating the common mean direction of several von Mises populations with differing dispersions. An exact distribution is given for the maximum likelihood estimator of the common mean direction conditioned on a weighted vector length statistic. Based on this distribution confidence limits of the common mean direction and tests about the same are derived.