Abe, T., Shimizu, K., Pewsey, A. (2010). Symmetric unimodal models for directional data motivated by inverse stereographic projection. Journal of the Japan Statistical Society, 40, 45–61.
Beran, R., Fisher, N. I. (1998). Nonparametric comparison of mean directions or mean axes. Annals of Statistics, 26, 472–493.
Bingham, M. S., Mardia, K. V. (1975). Characterizations and applications. In S. Kotz, G. P. Patil, J. K. Ord (Eds.), Statistical Distributions for Scientific Work (Vol. 3, pp. 387–398). Dordrecht and Boston: Reidel.
Breitenberger, E. (1963). Analogues of the normal distribution on the circle and the sphere. Biometrika, 50, 81–88.
Chang, T. (2004). Spatial statistics. Statistical Science, 19, 624–635.
Duerinckx, M., Ley, C. (2012). Maximum likelihood characterization of rotationally symmetric distributions. Sankhyā Series A, 74, 249–262.
Embleton, B. J. J., Mc Donnell, K. L. (1980). Magnetostratigraphy in the Sidney Basin, Southern Australia. Journal of Geomagnetism and Geoelectricity 32(Suppl. III), 304.
Eplett, W. J. R. (1979). The small sample distribution of a Mann–Whitney type statistic for circular data. Annals of Statistics, 7, 446–453.
Eplett, W. J. R. (1982). Two Mann–Whitney type rank tests. Journal of the Royal Statistical Society, Series B, 44, 270–286.
Fisher, R. A. (1953). Dispersion on a sphere. Proceedings of the Royal Society of London, Series A, 217, 295–305.
Fisher, N. I., Hall, P. (1990). New statistical methods for directional data I. Bootstrap comparison of mean directions and the fold test in palaeomagnetism. Geophysical Journal International, 101, 305–313.
Fisher, N. I., Lewis, T., Embleton, B. J. J. (1987). Statistical analysis of spherical data. UK: Cambridge University Press.
Graham, J. W. (1949). The stability and significance of magnetism in sedimentary rocks. Journal of Geophysical Research, 54, 131–167.
Hallin, M. (2012). Asymptotic relative efficiency. In: W. Piegorsch & A. El Shaarawi (Eds.), Encyclopedia of environmetrics (pp. 106–110, 2 nd ed.). UK: Wiley.
Hallin, M., Paindaveine, D. (2008). A general method for constructing pseudo-Gaussian tests. Journal of the Japan Statistical Society, 38, 27–39.
Hallin, M., Paindaveine, D., Verdebout, T. (2010). Optimal rank-based testing for principal components. Annals of Statistics, 38, 3245–3299.
Hallin, M., Paindaveine, D., Verdebout, T. (2013). Optimal rank-based tests for common principal components. Bernoulli, 19, 2524–2556.
Hallin, M., Paindaveine, D., Verdebout, T. (2014). Efficient R-estimation of principal and common principal components. Journal of the American Statistical Association, 109, 1071–1083.
Jammalamadaka, S. R., SenGupta, A. (2001). Topics in circular statistics. Singapore: World Scientific.
Jones, M. C., Pewsey, A. (2005). A family of symmetric distributions on the circle. Journal of the American Statistical Association, 100, 1422–1428.
Jupp, P. E. (1987). A non-parametric correlation coefficient and a two-sample test for random vectors or directions. Biometrika, 74, 887–890.
Kreiss, J. P. (1987). On adaptive estimation in stationary ARMA processes. Annals of Statistics, 15, 112–133.
Langevin, P. (1905). Sur la théorie du magnétisme. Journal de Physique, 4, 678–693.
Le Cam, L., Yang, G. L. (2000). Asymptotics in statistics (2nd ed.). New York: Springer.
Ley, C., Swan, Y., Thiam, B., Verdebout, T. (2013). Optimal R -estimation of a spherical location. Statistica Sinica, 23, 305–332.
Mardia, K. V., Jupp, P. E. (2000). Directional statistics. New York: Wiley.
McFadden, P. L., Jones, D. L. (1981). The fold test in palaeomagnetism. Geophysical Journal of the Royal Astronomical Society, 67, 53–58.
McFadden, P. L., Lowes, F. J. (1981). The discrimination of mean directions drawn from Fisher distributions. Geophysical Journal of the Royal Astronomical Society, 67, 19–33.
Purkayastha, S. (1991). A rotationally symmetric directional distribution: Obtained through maximum likelihood characterization. Sankhyā Series A, 53, 70–83.
Saw, J. G. (1978). A family of distributions on the m -sphere and some hypothesis tests. Biometrika, 65, 69–73.
Tsai, M. T. (2009). Asymptotically efficient two-sample rank tests for modal directions on spheres. Journal of Multivariate Analysis, 100, 445–458.
von Mises, R. (1918). Über die Ganzzahligkeit der Atomgewichte und verwandte Fragen. Physikalische Zeitschrift, 19, 490–500.
Watson, G. S. (1983). Statistics on spheres. New York: Wiley.
Wellner, J. A. (1979). Permutation tests for directional data. Annals of Statistics, 7, 929–943.
