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Advances in Order Restricted Statistical Inference

Proceedings of the Symposium on Order Restricted Statistical Inference held in Iowa City, Iowa, September 11–13, 1985

  • Conference proceedings
  • © 1986

Overview

Editors:
  1. Richard Dykstra

    1. Department of Statistics and Actuarial Sciences, University of Iowa, Iowa City, USA

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  2. Tim Robertson

    1. Department of Statistics and Actuarial Sciences, University of Iowa, Iowa City, USA

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  3. Farroll T. Wright

    1. 323 Mathematics-Computer Science, University of Missouri, Rolla, USA

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Part of the book series: Lecture Notes in Statistics (LNS, volume 37)

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Table of contents (15 papers)

  1. Front Matter

    Pages N2-VIII
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  2. Introduction

    • Richard Dykstra, Tim Robertson, Farroll T. Wright
    Pages 1-5

  3. Bayesian and Maximum Likelihood Approaches to Order-Restricted Inference for Models for Ordinal Categorical Data

    • Alan Agresti, Christy Chuang
    Pages 6-27

  4. A Method for Finding Projections onto the Intersection of Convex Sets in Hilbert Spaces

    • James P. Boyle, Richard L. Dykstra
    Pages 28-47

  5. Isotonic M-Estimation

    • Sue Leurgans
    Pages 48-68

  6. An Application of Isotonic Regression to Multivariate Density Estimation

    • Thomas W. Sager
    Pages 69-90

  7. Least-Squares Regression Under Convexity and Higher-Order Difference Constraints with Application to Software Reliabiilty

    • Douglas R. Miller, Ariela Sofer
    Pages 91-124

  8. Dose-Response Analysis under Unimodality of Response-to-Dose

    • Richard L. Schmoyer
    Pages 125-152

  9. On Nonparametric Tests for Ordered Alternatives in Two-Way Layouts

    • Z. Govindarajulu, S. H. Mansouri-Ghiassi
    Pages 153-168

  10. A Class of Distribution-Free Tests for Testing Homogeneity of Variances Against Ordered Alternatives

    • Subhash C. Kochar, R. P. Gupta
    Pages 169-183

  11. Robustness of \({\overline {\rm{\chi }} ^2}\) and \({\overline {\rm{E}} ^2}\): A Case for a Ranked Test in Order-Restricted Inference

    • Michael J. Schell, Bahadur Singh
    Pages 184-202

  12. Multiple Contrast Tests for Testing Against a Simple Tree Ordering

    • Hari Mukerjee, Tim Robertson, F. T. Wright
    Pages 203-230

  13. On Testing Symmetry and Unimodality

    • Tim Robertson
    Pages 231-248

  14. On Tests Under Order Restrictions in Reduction of Dimensionality

    • Ashis SenGupta
    Pages 249-256

  15. Power Series Approximations to the Null Distributions of Some Chi-Bar-Square Statistics

    • Bahadur Singh, F. T. Wright
    Pages 257-278

  16. Conditional Tests with an Order Restriction as a Null Hypothesis

    • Peter C. Wollan, Richard L. Dykstra
    Pages 279-295
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Statistics and Actuarial Sciences, University of Iowa, Iowa City, USA

    Richard Dykstra, Tim Robertson

  • 323 Mathematics-Computer Science, University of Missouri, Rolla, USA

    Farroll T. Wright

Bibliographic Information

  • Book Title: Advances in Order Restricted Statistical Inference

  • Book Subtitle: Proceedings of the Symposium on Order Restricted Statistical Inference held in Iowa City, Iowa, September 11–13, 1985

  • Editors: Richard Dykstra, Tim Robertson, Farroll T. Wright

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4613-9940-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-0-387-96419-5Published: 20 November 1986

  • eBook ISBN: 978-1-4613-9940-7Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: VIII, 298

  • Number of Illustrations: 9 b/w illustrations

  • Topics: Applications of Mathematics

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