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Cambridge University Press

Comparison of Statistical Experiments

Comparison of Statistical Experiments

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The present work examines the various methods of comparing statistical experiments. It begins by introducing statistical experiments and convex analysis. This chapter is followed by others on game theory, decision theory, and vector lattices, which are a natural framework for studying statistical problems. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomization, distance, ordering, equivalence, completeness and convergence are also explored. The remainder of the book is devoted to applications of the theory to linear models, local comparison of differentiable experiments, majorization, and discussions of topics complementary to the main text.

Author: Erik Torgersen
Publisher: Cambridge University Press
Published: 03/29/1991
Pages: 696
Binding Type: Hardcover
Weight: 2.52lbs
Size: 9.21h x 6.14w x 1.50d
ISBN: 9780521250306

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