Characterizations of infinite dimensional Gaussian shift experiments

DOI10.1016/0167-7152(89)90028-XzbMath0684.60003OpenAlexW2018062121MaRDI QIDQ1825501

Harald Luschgy

Publication date: 1989

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(89)90028-x

zbMATH Keywords

completenesssufficiencycharacterization of the normal distributionGaussian shift experiments

Mathematics Subject Classification ID

Inference from stochastic processes (62M99) Probability theory on linear topological spaces (60B11) General considerations in statistical decision theory (62C05)

Cites Work

• A special representation of a sufficient randomization kernel
• Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
• Note on Sufficient Statistics and Two-Stage Procedures
• A Sufficient Statistics Characterization of the Normal Distribution
• Expansions of Vectors in a Banach Space Related to Gaussian Measures
• Zero-one laws for Gaussian processes
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