Geometry of Statistics Bibliography

by
Edwin B. Dean

Amari, S. (1980). "Theory of Information Space: A Differential-Geometrical Foundation of Statistics," post-RAAG Reports, No. 106, February, CN-162561.

Amari, S. (1982). "Differential Geometry of Curved Exponential Families - Curvatures and Information Loss," The Annals of Statistics, Vol. 10, No. 2, pp. 357-385.

Amari, S. (1985). Differential-Geometrical Methods in Statistics, Springer-Verlag, Berlin.

Cencov, N. N. (1982). Statistical Decision Rules and Optimal Inference, American Mathematical Society, Providence, RI, USA.

Kendall, M. G. (1961). A Course in the Geometry of n Dimensions, Hafner Publishing Company, New York, NY, USA.

Murray, M. K. and J. W. Rice (1993). Differential Geometry and Statistics, Chapman & Hall, London, UK.

Rao, C. R. (1945). "Information and the Accuracy Attainable in the Estimation of Statistical Parameters," Bulletin of the Calcutta Mathematics Society, Vol. 37, pp. 81-91.

Saville, D. J. and G. R. Wood (1991). Statistical Methods: The Geometric Approach, Springer-Verlag, New York, NY, USA.

Saville, D. J. and G. R. Wood (1996). Statistical Methods: A Geometric Primer, Springer-Verlag, New York, NY, USA.

• Geometry Bibliography
• Statistics Bibliography

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