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Statistical Inference Under Order Restrictions

Statistical Inference Under Order Restrictions
Author: Richard E. Barlow
Publisher: John Wiley & Sons
Total Pages: 406
Release: 1972
Genre: Mathematics
ISBN:

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Isotonic regression; Estimation under order restrictions; Testing the equality of ordered means: likelihood ratio tests in the normal case; Testing the equality of ordered means: extensions and generalizations; Estimation of distributions; Isotonic tests for goodness of fit; Conditional expectation given a Lattice.


Statistical Inference Under Order Restrictions

Statistical Inference Under Order Restrictions
Author: Richard E. Barlow
Publisher:
Total Pages: 400
Release: 1972
Genre: Order statistics
ISBN: 9780608163352

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;Contents: Isotonic regression; Estimation under order restrictions; Testing the equality of ordered means--likelihood ratio tests in the normal case; Testing the equality of ordered means--extensions and generalizations; Estimation of distributions; Isotonic tests for goodness of fit; Conditional expectation given a sigma-lattice.


Advances in Order Restricted Statistical Inference

Advances in Order Restricted Statistical Inference
Author: Richard Dykstra
Publisher: Springer Science & Business Media
Total Pages: 305
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461399408

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With support from the University of Iowa and the Office of Naval Research. a small conference on order restricted inference was held at the University of Iowa in Iowa City in April of 1981. There were twenty-one participants. mostly from the midwest. and eleven talks were presented. A highlight of the conference was a talk by D. J. Bartholomew on. "Reflections on the past and thoughts about the future. " The conference was especially valuable because it brought together researchers who were thinking about related problems. A small conference on a limited topic is one of the best ways to stimulate research and facilitate collaboration. Because of the success of the first conference. a second conference was organized and held in September of 1985. This second conference was made possible again by support from the Office of Naval Research under Department of the Navy Contract NOOOI4-85-0161 and the University of Iowa. There were thirty-five participants and twenty presentations on a wide variety of topics dealing with order restricted inference at the second conference. This volume is a collection of fourteen of those presentations. By collecting together and organizing the fundamental results in order restricted inference in Statistical Inference under Order Restrictions. R. E. Barlow. D. J. Bartholomew. J. M. Bremner and H. D. Brunk have done much to stimulate research in this area. and so we wish to express our gratitude to them first.


Constrained Statistical Inference

Constrained Statistical Inference
Author: Mervyn J. Silvapulle
Publisher: Wiley-Interscience
Total Pages: 532
Release: 2004-11-08
Genre: Mathematics
ISBN: 9780471208273

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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


Order Restricted Statistical Inference

Order Restricted Statistical Inference
Author: Tim Robertson
Publisher: John Wiley & Sons Incorporated
Total Pages: 521
Release: 1988
Genre: Psychology
ISBN: 9780471917878

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This work attempts to provide a comprehensive treatment of the topic of statistical inference under inequality constraints, in which much of the theory is based on the principles ofr maximum likelihood estimation and likelihood ratio tests.


Constrained Statistical Inference

Constrained Statistical Inference
Author: Mervyn J. Silvapulle
Publisher: John Wiley & Sons
Total Pages: 560
Release: 2011-09-15
Genre: Mathematics
ISBN: 1118165632

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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