1 edition of **Statistical inference under order restrictions** found in the catalog.

Statistical inference under order restrictions

- 230 Want to read
- 11 Currently reading

Published
**1972**
by J. Wiley in London
.

Written in English

- Order statistics,
- Regression analysis

**Edition Notes**

Series | Wiley series in probability and mathematical statistics, no. 8 |

Contributions | Barlow, Richard E. |

The Physical Object | |
---|---|

Pagination | 388p. |

Number of Pages | 388 |

ID Numbers | |

Open Library | OL14828193M |

Since isotonic regressions often arise in problems of statistical inference under order restrictions these formulas are found useful. We demonstrate their usefulness through an application to the problem of nonparametric estimation of a distribution function dominating stochastically a . Puri S, Singh H () On recursive formulas for isotonic regression useful for statistical inference under order restrictions. J Stat Plann Inf –11 zbMATH CrossRef MathSciNet Google Scholar Qian S () Minimum lower sets algorithms for isotonic regression.

Get this from a library! Order restricted statistical inference. [T Robertson; F T Wright; R Dykstra] -- An attempt 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 of maximum likelihood. Statistical inference is the process of using data analysis to deduce properties of an underlying distribution of probability. Inferential statistical analysis infers properties of a population, for example by testing hypotheses and deriving is assumed that the observed data set is sampled from a larger population.. Inferential statistics can be contrasted with descriptive statistics.

This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations. situations, the statistical model itself enforces order restrictions on the parameters. A common example is the estimation of the nonparametric distribution function or the cumulative hazard function of a random time to failure, or the estimation of the baseline cumulative hazard function in a Cox regression model.

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Statistical inference under order restrictions;: The theory and application of isotonic regression (Wiley series in probability and mathematical statistics, no.

8) Hardcover – January 1, by Richard E. Barlow (Author), D.J. Bartholomew (Author), J. Bremner (Author), See all 3 formats and editionsAuthor: Richard E. Barlow, D.J. Bartholomew, J. Bremner. Book reviewed in this article: Statistical inference under order restrictions, R.

BARLOW, D. BARTHOLOMEW, J. BREMNER, H. BRUNK. John Wiley & Sons Statistical inference under order restrictions - - Statistica Neerlandica - Wiley Online Library Skip to Article Content.

Using as a model the influential Statistical Inference under Order Restrictions, by Barlow et al. (), the authors present the latest results on isotonic regression, tests of ordered hypotheses (the normal means case), the increasing use of duality, and much more.

Contains over by: Book Reviews Statistical Inference Under Order Restrictions. Kalbfleisch University of Waterloo.

Pages Published online: 09 Apr Download citation. Book Reviews. Statistical Inference Under Order Restrictions Citations Metrics; Reprints & Cited by: Statistical inference under order restrictions in analysis of covariance using a modified restricted maximum likelihood estimator.

For an excellent review on this subject one may refer to the recent book by Silvapulle and Sen Constrained Statistical Inference: inequality, order and shape restrictions.

Wiley; New York, NY: Cited by: 4. See all 2 images Statistical Inference Under Order Restrictions: Theory and Application of Isotonic Regression (Wiley Series in Probability and Statistics) Hardcover – 1 Jan by RE BARLOW (Author) See all 2 formats and editionsAuthor: RE BARLOW.

a Statistical inference under order restrictions: b the theory and application of isotonic regression / c R. Barlow e. a Chichester: b Wiley, c 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. For restrictions to a simple order cone, likelihood inference is satisfactory.

However, if, for example, the restrictions are of the tree order type, umbrella order, star-shaped order, or stochastic order, then likelihood methods seem to have some shortcomings. General results will identify when likelihood methods are potentially wanting. 3. Order restricted inference Order restricted estimates.

We now consider a lifetime-test of d independent sequential (n i-s i + 1)-out-of-n i systems, 1 ⩽ i ⩽ d, with known load-sharing rules for which we only observe the (r i + 1) th failure times up to the s i th failure times, i.e. the failure times of the first r i units to fail.

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. Statistical Inference Under Order Restrictions: The Theory and Application of Isotonic Regression Richard E. Barlow J.

Wiley, Jan 1, - Order statistics - pages. Advances in Order Restricted Statistical Inference: Proceedings of the Symposium on Order Restricted Statistical Inference held in Iowa City, Iowa, September 11–13, (Lecture Notes in Statistics) Softcover reprint of the original 1st ed.

Edition by Richard Dykstra (Editor), Tim Robertson (Editor), Farrol T. Wright (Editor)Price: $ Get this from a library. Statistical inference under order restrictions: the theory and application of isotonic regression.

[Richard E Barlow; David J Bartholomew; J M Bremner; H D Brunk; et al]. This book builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and are natural extensions and Reviews: Journal of Statistical Planning and Inference 24 () I North-Holland ON RECURSIVE FORMULAS FOR ISOTONIC REGRESSION USEFUL FOR STATISTICAL INFERENCE UNDER ORDER RESTRICTIONS Prem S.

PURI ~ Department of Statistics, Purdue University, West Lafayette, INU.S.A. Harshinder SINGH Department of Statistics, Panjab University. During the Seminar, the students will have to study some selected chapters from the book "Statistical Inference under Order Restrictions" by Barlow, Bartholomew, Bremner and Brunk as well as some "famous" articles on the subject.

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 s: 2. Order-restricted statistical inference concerns the estimation of such parameters under inequality constraints (Barlow et al., ;Robertson et al., ; Silvapulle & Sen, ).

Such. Title: Statistical Inference under Order Restrictions. (The Theory and Application of Isotonic Regression), (The Theory and Application of Isotonic Regression), Corporate Author: MISSOURI UNIV COLUMBIA DEPT OF STATISTICS.

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. : $An illustration of an open book. Books.

An illustration of two cells of a film strip. Constrained statistical inference: inequality, order, and shape restrictions 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.H.D.

Brunk is the author of Introduction to Mathematical Statistics ( avg rating, 0 ratings, 0 reviews, published ) and Statistical Inference Unde 4/5(1).