Statistical exponential families: A digest with flash cards

Maximum likelihood from incomplete data via the em algorithm

A. P. Dempster, N. M. Laird, and D. B. Rubin · 1977

Earlier work this paper cites.

Statistical decision rules and optimal inference

N. N. Čencov · 1982

Earlier work this paper cites.

Fundamentals of statistical exponential families: with applications in statistical decision theory

L. D. Brown · 1986

Earlier work this paper cites.

Statistical manifolds

Stefan L. Lauritzen · 1987

Earlier work this paper cites.

Differential Geometry and Statistics

Michael Murray and John Rice · 1993

Earlier work this paper cites.

Geometrical Foundations of Asymptotic Inference

R. E. Kass and P. W. Vos · 1997

Earlier work this paper cites.

Methods of Information Geometry

Shun ichi Amari and H. Nagaoka · 2000

Cited alongside, same era.

On the uniqueness of the chentsov metric in quantum information geometry

M. R. Grasselli and R. F. Streater · 2001

Cited alongside, same era.

Computing the Rao distance for gamma distributions

F. Reverter and J. M. Oller · 2003

Cited alongside, same era.

Exponential families for conditional random fields

Yasemin Altun, Alex J. Smola, and Thomas Hofmann · 2004

Cited alongside, same era.

Clustering with bregman divergences

Arindam Banerjee, Srujana Merugu, Inderjit S. Dhillon, and Joydeep Ghosh · 2005

Cited alongside, same era.

Fisher information matrix and hyperbolic geometry

S. I. R. Costa, S. A. Santos, and J. E. Strapasson · 2005

Cited alongside, same era.

Axiomatic geometry of conditional models

Guy Lebanon · 2005

Later among the works it cites.

Kernel methods and the exponential family

Stéphane Canu and Alexander J. Smola · 2006

Later among the works it cites.

An analysis of logistic models: Exponential family connections and online performance

Arindam Banerjee · 2007

Later among the works it cites.

Sided and symmetrized Bregman centroids

Frank Nielsen and Richard Nock · 2009

Closest in time.

Manuscript

Frank Nielsen and Richard Nock · 2011

Closest in time.