Cordeiro, Gauss M.; Vasconcellos, Klaus L. P. Second-order biases of the maximum likelihood estimates in von Mises regression models. (English) Zbl 0958.62021 Aust. N. Z. J. Stat. 41, No. 2, 189-198 (1999). Summary: This paper discusses issues related to the improvement of maximum likelihood estimates in von Mises regression models. It obtains general matrix expressions for the second-order biases of maximum likelihood estimates of the mean parameters and concentration parameters. The formulae are simple to compute, and give the biases by means of weighted linear regressions. Simulation results are presented assessing the performance of corrected maximum likelihood estimates in these models. Cited in 1 ReviewCited in 9 Documents MSC: 62F10 Point estimation 62H11 Directional data; spatial statistics 62H12 Estimation in multivariate analysis Keywords:bias correction; generalized linear models; iteratively reweighted least squares; von Mises regression models; maximum likelihood estimates PDFBibTeX XMLCite \textit{G. M. Cordeiro} and \textit{K. L. P. Vasconcellos}, Aust. N. Z. J. Stat. 41, No. 2, 189--198 (1999; Zbl 0958.62021) Full Text: DOI