Combining Estimates of Tectonic Plate Rotations: An Extension of Welch's Method to Spherical Regression

Journal of Multivariate Analysis

Volumn 65, Issue 1, 1998, Pages 71-108

  Kirkwood, Bessie H ^a   Chang, Ted ^a  

^a NONE

Author keywords

Heteroscadicity; Weighted linear regression

Indexed keywords

EID: 0040091903     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1997.1723     Document Type: Article

References (20)

1. Abramowitz M., Stegun I. Handbook of Mathematical Functions. 1965;Dover, New York.
2. Amemiya T. Non-linear regression models. Handbook of Econometrics. 1983;North-Holland, Amsterdam. p. 333-389.
3. Campan A. Analyse cinématique de l 'Atlantique Équatorial: Implications sur l 'Évolution de l'Atlantique Sud et sur la frontière de plaques Amérique du Nord/Amérique du Sud. 1995;L'Université de Paris VI.
4. Chang T. Spherical regression. Ann. Statist. 14:1986;907-924.
5. Chang T. Estimating the relative rotation of two tectonic plates from boundary crossings. J. Amer. Statist. Assoc. 83:1988;1178-1183.
6. Chang T. Spherical regression and the statistics of tectonic plate reconstructions. Internat. Statist. Rev. 61:1993;299-316.
7. Hellinger S. J. The Statistics of Finite Rotations in Plate Tectonics. 1979;Massassuchetts Institute of TechnologyDept. of Earth and Planetary Science.
8. Hellinger S. J. The uncertainties of finite rotations in plate tectonics. J. Geophys. Res. 86:1981;9312-9318.
9. James G. S. The comparison of several groups of observations when the ratios of the population variances are unknown. Biometrika. 38:1951;324-329.
10. James G. S. Tests of linear hypotheses in univariate and multivariate analysis when the ratios of the population variances are unknown. Biometrika. 41:1954;19-43.
11. Johansen S. The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression. Biometrika. 67:1980;85-92.
12. Kent J. Limiting behavior of the von Mises-Fisher distribution. Math. Proc. Cambridge Philos. Soc. 84:1978;531-536.
13. Mickey R. M., Brown M. B. Bounds on the distribution functions of the Behrens-Fisher statistic. Ann. Math. Statist. 37:1966;639-642.
14. Royer J-Y., Chang T. Evidence for relative motions between the Indian and Australian plates during the last 20 m.y. from plate tectonic reconstructions: implications for the deformation of the Indo-Australian plate. J. Geophys. Res. 96:1991;11779-11802.
15. Seber G. A. B., Wild C. J. Nonlinear Regression. 1989;Wiley, New York.
16. Serfling R. J. Approximation Theorems of Mathematical Statistics. 1980;Wiley, New York.
17. Wallace D. The Behrens-Fisher and Fieller-Creasey Problems. R. A. Fisher: An Appreciation. 1980;Springer-Verlag, New York. p. 119-147.
18. Welch B. L. The significance of the difference between two means when the population variances are unequal. Biometrika. 27:1937;350-362.
19. Welch B. L. The generalization of "Student's" problem when several different population variances are involved. Biometrika. 34:1947;28-35.
20. Welch B. L. On the comparison of several mean values: An alternative approach. Biometrika. 38:1951;330-336.