Constrained Statistical Inference : Order, Inequality, and Shape Constraints

Mervyn J Silvapulle

ISBN 10: 0471208272 / ISBN 13: 9780471208273

Published by Wiley Nov 2004, 2004

About this Item

Neuware - An up-to-date approach to understanding statistical inferenceStatistical 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 regressionInequality-constrained tests on normal meansTests in general parametric modelsLikelihood and alternativesAnalysis of categorical dataInference on monotone density function, unimodal density function, shape constraints, and DMRL functionsBayesian perspectives, including Stein's Paradox, shrinkage estimation, and decision theory.

Seller Inventory # 9780471208273

Bibliographic Details

• Title: Constrained Statistical Inference : Order, Inequality, and Shape Constraints
• Publisher: Wiley Nov 2004
• Publication Date: 2004
• Language: English
• ISBN 10: 0471208272
• ISBN 13: 9780471208273
• Binding: Buch
• Condition: Neu

About this title

Synopsis

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

About the Author

MERVYN J. SILVAPULLE, PhD, is an Associate Professor in the Department of Statistical Science at La Trobe University in Bundoora, Australia. He received his PhD in statistics from the Australian National University in 1981.

PRANAB K. SEN, PhD, is a Professor in the Departments of Biostatistics and Statistics and Operations Research at the University of North Carolina at Chapel Hill. He received his PhD in 1962 from Calcutta University, India.