Differential geometrical theory of statistics
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[1] A. James,et al. The Variance Information Manifold and the Functions on It , 1973 .
[2] S. Amari,et al. Geometrical theory of higher-order asymptotics of test, interval estimator and conditional inference , 1983, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[3] Robert E. Kass,et al. Canonical Parameterizations and Zero Parameter‐Effects Curvature , 1984 .
[4] J. Pfanzagl,et al. CONTRIBUTIONS TO A GENERAL ASYMPTOTIC STATISTICAL THEORY , 1982 .
[5] P. McCullagh. Tensor notation and cumulants of polynomials , 1984 .
[6] S. Amari. Geometrical theory of asymptotic ancillarity and conditional inference , 1982 .
[7] Akahira Masafumi,et al. ON ASYMPTOTIC DEFICIENCY OF ESTIMATORS IN POOLED SAMPLES IN THE PRESENCE OF NUISANCE PARAMETERS , 1982 .
[8] 甘利 俊一,et al. Estimation of structural parameter in the presence of a large number of nuisance parameters , 1983 .
[9] I. Csiszár. $I$-Divergence Geometry of Probability Distributions and Minimization Problems , 1975 .
[10] 甘利 俊一. Differential geometry in statistical inference , 1987 .
[11] B. Efron. THE GEOMETRY OF EXPONENTIAL FAMILIES , 1978 .
[12] D. G. Watts,et al. Relative Curvature Measures of Nonlinearity , 1980 .
[13] B. Efron,et al. Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information , 1978 .
[14] C. R. Rao,et al. Entropy differential metric, distance and divergence measures in probability spaces: A unified approach , 1982 .
[15] P. Bloomfield. An exponential model for the spectrum of a scalar time series , 1973 .
[16] B. Lindsay. Conditional score functions: Some optimality results , 1982 .
[17] Ib M. Skovgaard,et al. A Second-Order Investigation of Asymptotic Ancillarity , 1985 .
[18] D. Hinkley. Likelihood as approximate pivotal distribution , 1980 .
[19] E. Beale,et al. Confidence Regions in Non‐Linear Estimation , 1960 .
[20] S. Amari. A foundation of information geometry , 1983 .
[21] W. J. Hall,et al. Information and Asymptotic Efficiency in Parametric-Nonparametric Models , 1983 .
[22] S. Amari. Differential Geometry of Curved Exponential Families-Curvatures and Information Loss , 1982 .
[23] L. Skovgaard. A Riemannian geometry of the multivariate normal model , 1984 .
[24] S. Amari,et al. Differential geometry of edgeworth expansions in curved exponential family , 1983 .
[25] C. Atkinson. Rao's distance measure , 1981 .
[26] Shun-ichi Amari,et al. Differential-geometrical methods in statistics , 1985 .
[27] J. Ghosh,et al. ON THE VALIDITY OF THE FORMAL EDGEWORTH EXPANSION , 1978 .
[28] S. Eguchi. Second Order Efficiency of Minimum Contrast Estimators in a Curved Exponential Family , 1983 .
[29] Herman Chernoff,et al. Asymptotic Studentization in Testing of Hypotheses , 1949 .