PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
June 1, 1990Journal of the American Statistical Association1,623 citations

Order Restricted Statistical Inference.

View Full Paper
TSThomas J. SantnerTRTim RobertsonFWF. T. Wright

Key Points

  • To establish a theoretical and methodological framework for statistical inference under order and shape restrictions on parameters.
  • Synthesizes isotonic regression methods and hypothesis testing frameworks for ordered normal means.
  • Extends likelihood ratio tests and related procedures to multinomial parameters and distributions subject to shape constraints.
  • Applies conditional expectation over sigma-lattices to characterize geometric projection methods in generalized settings.
  • Provides analytical formulations and test statistics for ordered hypotheses across normal, multinomial, and generalized distributions.
  • Establishes duality principles and geometric projection properties that govern parameter estimation under order constraints.

Abstract

Isotonic Regression. Tests of Ordered Hypotheses: The Normal Means Case. Tests of Ordered Hypotheses: Generalizations of the Likelihood Ratio Tests and Other Procedures. Inferences about a Set of Multinomial Parameters. Duality. Inferences Regarding Distributions Subject to Shape Restrictions. Conditional Expectation Given a sigma-lattice: Projections in a More General Setting. Complements. Tables. Bibliography and Related References. Index. Symbols and Acronyms.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Santner et al. (1990) studied this question.

synapsesocial.com/papers/6a0db606cecdf5fb20ba92d9https://doi.org/10.2307/2289813
Ask AI
Helpful
Bookmark
Share
View Full Paper