Exponential Approximation of Statistical Experiments

Gushchin, A. A.; Valkeila, E.

doi:10.1007/978-1-4612-0209-7_29

A. A. Gushchin^4,5 &
E. Valkeila^4,5

Part of the book series: Statistics for Industry and Technology ((SIT))

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Abstract

We study conditions under which a sequence of statistical experiments can be approximated in a certain sense by experiments generated by exponential families with a convex canonical parameter space or weakly converges to such an experiment.

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References

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Authors and Affiliations

Steklov Mathematical Institute, Moscow, Russia
A. A. Gushchin & E. Valkeila
Russia University of Helsinki, Helsinki, Finland
A. A. Gushchin & E. Valkeila

Authors

A. A. Gushchin
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E. Valkeila
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Editors and Affiliations

Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada
N. Balakrishnan
Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
I. A. Ibragimov & V. B. Nevzorov &

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Gushchin, A.A., Valkeila, E. (2001). Exponential Approximation of Statistical Experiments. In: Balakrishnan, N., Ibragimov, I.A., Nevzorov, V.B. (eds) Asymptotic Methods in Probability and Statistics with Applications. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0209-7_29

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DOI: https://doi.org/10.1007/978-1-4612-0209-7_29
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6663-1
Online ISBN: 978-1-4612-0209-7
eBook Packages: Springer Book Archive

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