Author | Amari, Shun-ichi. author |
---|---|
Title | Differential-Geometrical Methods in Statistics [electronic resource] / by Shun-ichi Amari |
Imprint | New York, NY : Springer New York, 1985 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-5056-2 |
Descript | V, 294 p. online resource |
1. Introduction -- I. Geometrical Structures of a Family of Probability Distributions -- 2. Differential Geometry of Statistical Models -- 3. ?-Divergence and ?-Projection in Statistical Manifold -- II. Higher-Order Asymptotic Theory of Statistical Inference in Curved Exponential Families -- 4. Curved Exponential Families and Edgeworth Expansions -- 5. Asymptotic Theory of Estimation -- 6. Asymptotic Theory of Tests and Interval Estimators -- 7. Information, Ancillarity and Conditional Inference -- 8. Statistical Inference in the Presence of Nuisance Parameters -- References -- Subject Indices