Constrained Statistical Inference

Beschreibung

An up-to-date approach to understanding statistical inference Statistical inference is finding useful applications in numerous fields, from sociology and econometrics to biostatistics. This volume enables professionals in these and related fields to master the concepts of statistical inference under inequality constraints and to apply the theory to problems in a variety of areas. Constrained Statistical Inference: Order, Inequality, and Shape Constraints provides a unified and up-to-date treatment of the methodology. It clearly illustrates concepts with practical examples from a variety of fields, focusing on sociology, econometrics, and biostatistics. The authors also discuss a broad range of other inequality-constrained inference problems that do not fit well in the contemplated unified framework, providing a meaningful way for readers to comprehend methodological resolutions. Chapter coverage includes: * Population means and isotonic regression * Inequality-constrained tests on normal means * Tests in general parametric models * Likelihood and alternatives * Analysis of categorical data * Inference on monotone density function, unimodal density function, shape constraints, and DMRL functions * Bayesian perspectives, including Stein's Paradox, shrinkage estimation, and decision theory
This volumes focuses on the theory of statistical inference under inequality constraints, providing a unified and up-to-date treatment of the methodology. The scope of applications of the presented methodology and theory in different fields is clearly illustrated by using examples from several areas, especially sociology, econometrics, and biostatistics. The authors also discuss a broad range of other inequality constrained inference problems, which do not fit well in the contemplated unified framework, providing meaningful access to comprehend methodological resolutions.

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Mervyn J. Silvapulle

Themen in »Constrained Statistical Inference«

Mathematische Statistik Probability & Mathematical Statistics Statistics Statistik Wahrscheinlichkeitsrechnung u. mathematische Statistik

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