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Regular version of the site

Article

Exponential statistical experiments: their properties and convergence results

Statistics & Decisions. 2001. Vol. 19. No. 2. P. 173-190.
Gushchin A. A., Valkeila E.

A characterization of a certain class of exponential experiments, so-called E-experiments, is given. This allows us to give necessary and sufficient conditions for a sequence of experiments to converge to an E-experiment. The obtained results are valid for Gaussian shift experiments. Some asymptotic approximations using E-experiments are studied.