Differential Geometry of Curved Exponential Families-Curvatures and Information Loss

The Annals of Statistics ◽

10.1214/aos/1176345779 ◽

1982 ◽

Vol 10 (2) ◽

pp. 357-385 ◽

Author(s):

Shun-Ichi Amari

Keyword(s):

Differential Geometry ◽

Information Loss ◽

Exponential Families ◽

Curved Exponential Families

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Curved Exponential Families and Edgeworth Expansions

Differential-Geometrical Methods in Statistics - Lecture Notes in Statistics ◽

10.1007/978-1-4612-5056-2_4 ◽

1985 ◽

pp. 104-127

Author(s):

Shun-ichi Amari

Keyword(s):

Exponential Families ◽

Edgeworth Expansions ◽

Curved Exponential Families

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The Fisher Information of Curved Exponential Families and the Elegant Kagan Inequality

Lecture Notes in Computer Science - Geometric Science of Information ◽

10.1007/978-3-030-80209-7_36 ◽

2021 ◽

pp. 323-330

Author(s):

Gérard Letac

Keyword(s):

Fisher Information ◽

Exponential Families ◽

Curved Exponential Families

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Posterior inference in curved exponential families under increasing dimensions

Econometrics Journal ◽

10.1111/ectj.12027 ◽

2014 ◽

Vol 17 (2) ◽

pp. S75-S100

Author(s):

Alexandre Belloni ◽

Victor Chernozhukov

Keyword(s):

Exponential Families ◽

Posterior Inference ◽

Curved Exponential Families

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Differential geometric method for curved exponential families

Institute of Mathematical Statistics Lecture Notes - Monograph Series - Multivariate analysis and its applications ◽

10.1214/lnms/1215463818 ◽

1994 ◽

pp. 461-465

Author(s):

Bo Cheng Wei ◽

Peter Che Bor Lam

Keyword(s):

Geometric Method ◽

Exponential Families ◽

Curved Exponential Families

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Link functions for parameters of sequential order statistics and curved exponential families

10.37190/0208-4147.41.1.8 ◽

2020 ◽

Vol 41 (1) ◽

Author(s):

G. Volovskiy ◽

S. Bedbur ◽

U. Kamps

Keyword(s):

Order Statistics ◽

Exponential Families ◽

Sequential Order ◽

Link Functions ◽

Sequential Order Statistics ◽

Curved Exponential Families

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Likelihood ratio tests in curved exponential families with nuisance parameters present only under the alternative

10.1093/biomet/92.3.507 ◽

2005 ◽

Vol 92 (3) ◽

pp. 507-517 ◽

Author(s):

Christian Ritz ◽

Ib M. Skovgaard

Keyword(s):

Likelihood Ratio ◽

Likelihood Ratio Tests ◽

Exponential Families ◽

Nuisance Parameters ◽

Curved Exponential Families

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Curved exponential families of stochastic processes and their envelope families

Annals of the Institute of Statistical Mathematics ◽

10.1007/bf00049289 ◽

1996 ◽

Vol 48 (1) ◽

pp. 61-74 ◽

Author(s):

Uwe K�chler ◽

Michael S�rensen

Keyword(s):

Stochastic Processes ◽

Exponential Families ◽

Curved Exponential Families

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Flat and Multimodal Likelihoods and Model Lack of Fit in Curved Exponential Families

Scandinavian Journal of Statistics ◽

10.1111/j.1467-9469.2010.00703.x ◽

2010 ◽

Vol 37 (4) ◽

pp. 632-643 ◽

Author(s):

ROLF SUNDBERG

Keyword(s):

Exponential Families ◽

Lack Of Fit ◽

Curved Exponential Families

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Confidence Regions in Curved Exponential Families: Application to Matched Case-Control and Survival Studies with General Relative Risk Function

The Annals of Statistics ◽

10.1214/aos/1176350270 ◽

1987 ◽

Vol 15 (1) ◽

pp. 346-359 ◽

Author(s):

Suresh H. Moolgavkar ◽

David J. Venzon

Keyword(s):

Relative Risk ◽

Risk Function ◽

Confidence Regions ◽

Case Control ◽

Exponential Families ◽

Matched Case ◽

Survival Studies ◽

Curved Exponential Families

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Posterior inference in curved exponential families under increasing dimensions

10.1920/wp.cem.2013.6813 ◽

2013 ◽

Author(s):

Alexandre Belloni ◽

Victor Chernozhukov

Keyword(s):

Exponential Families ◽

Posterior Inference ◽

Curved Exponential Families

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