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NONSTANDARD ESTIMATION FOR THE VON MISES FISHER DISTRIBUTION

Part of: Parametric inference Multivariate analysis

Published online by Cambridge University Press:  07 March 2018

MARYAM GHODSI
MARYAM GHODSI*
Affiliation:
Department of Mathematics and Statistics, Jahrom Branch, Islamic Azad University, Jahrom, Iran email [email protected]
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Abstract

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Keywords

inference under constraintsdirectional dataasymptotic properties of testsasymptotic properties of estimatorsdata analysis

MSC classification

Primary: 62F30: Inference under constraints
Secondary: 62H11: Directional data; spatial statistics 62F05: Asymptotic properties of tests 62F12: Asymptotic properties of estimators
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 97 , Issue 3 , June 2018 , pp. 520 - 522
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

References

Chant, D., ‘On asymptotic tests of composite hypotheses in nonstandard conditions’, Biometrika 61(2) (1974), 291–298.CrossRefGoogle Scholar
Chernoff, H., ‘On the distribution of the likelihood ratio’, Ann. Math. Statist. 25(3) (1954), 573–578.CrossRefGoogle Scholar
Feder, P. I., ‘On the distribution of the log likelihood ratio test statistic when the true parameter is “near” the boundaries of the hypothesis regions’, Ann. Math. Statist. 39(6) (1968), 2044–2055.CrossRefGoogle Scholar
Moran, P. A. P., ‘Maximum-likelihood estimation in non-standard conditions’, Math. Proc. Cambridge Philos. Soc. 70 (1971), 441–450.CrossRefGoogle Scholar
Neuenschwander, B. E. and Flury, B. D., ‘A note on Silvey’s (1959) theorem’, Statist. Probab. Lett. 36(3) (1997), 307–317.CrossRefGoogle Scholar
Rotnitzky, A., Cox, D. R., Bottai, M. and Robins, J., ‘Likelihood-based inference with singular information matrix’, Bernoulli 6(2) (2000), 243–284.CrossRefGoogle Scholar
Self, S. G. and Liang, K. Y., ‘Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions’, J. Amer. Statist. Assoc. 82(398) (1987), 605–610.CrossRefGoogle Scholar
Silvapulle, M. J. and Sen, P. K., Constrained Statistical Inference: Order, Inequality, and Shape Constraints, Wiley Series in Probability and Statistics (Wiley, Hoboken, NJ, 2011).Google Scholar
Silvey, S. D., ‘The Lagrangian Multiplier test’, Ann. Math. Statist. 30(2) (1959), 389–407.CrossRefGoogle Scholar
Vu, H. T. V. and Zhou, S., ‘Generalization of likelihood ratio tests under nonstandard conditions’, Ann. Statist. 25(2) (1997), 897–916.CrossRefGoogle Scholar
Watson, G. S., Statistics on Spheres, University of Arkansas Lecture Notes in the Mathematical Sciences (Wiley, New York, 1983).Google Scholar