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Volumes of Tubular Neighborhoods of Spherical Polyhedra and Statistical Inference

Volumes of Tubular Neighborhoods of Spherical Polyhedra and Statistical Inference

For statistical procedures including Scheffe-type simultaneous confidence bounds for response surfaces and likelihood ratio tests for an additional regressor with unspecified parameters in a regression model, the confidence level or size can be expressed in terms of probabilities of the form $P\lbrack U \in D(\Gamma, \theta)\rbrack$, where $\Gamma$ is a …