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## References

SHOWING 1-10 OF 26 REFERENCES

Order-restricted inferences in linear regression

- Mathematics
- 1995

Abstract Regression analysis constitutes a large portion of the statistical repertoire in applications. In cases where such analysis is used for exploratory purposes with no previous knowledge of the…

Sign-constrained least squares estimation for high-dimensional regression

- Mathematics, Computer Science
- 2012

Network tomography is shown to be an application where the necessary conditions for success of non-negative least squares are naturally fulfilled and empirical results confirm the effectiveness of the sign constraint for sparse recovery.

Applied Linear Statistical Models

- Computer Science
- 1974

Applied Linear Statistical Models 5e uses larger data sets in examples and exercises, and where methods can be automated within software without loss of understanding, it is so done.

Order restricted statistical inference

- Mathematics
- 1988

Isotonic Regression. Tests of Ordered Hypotheses: The Normal Means Case. Tests of Ordered Hypotheses: Generalizations of the Likelihood Ratio Tests and Other Procedures. Inferences about a Set of…

Better subset regression using the nonnegative garrote

- Mathematics
- 1995

A new method, called the nonnegative (nn) garrote, is proposed for doing subset regression. It both shrinks and zeroes coefficients. In tests on real and simulated data, it produces lower prediction…

The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2nd Edition

- Computer ScienceSpringer Series in Statistics
- 2001

This major new edition features many topics not covered in the original, including graphical models, random forests, ensemble methods, least angle regression and path algorithms for the lasso, non-negative matrix factorization, and spectral clustering.

Constrained Statistical Inference: Inequality, Order, and Shape Restrictions

- Mathematics
- 2001

Dedication. Preface. 1. Introduction. 1.1 Preamble. 1.2 Examples. 1.3 Coverage and Organization of the Book. 2. Comparison of Population Means and Isotonic Regression. 2.1 Ordered Hypothesis…

Nonnegativity constraints in numerical analysis

- Computer ScienceThe Birth of Numerical Analysis
- 2009

A survey of the development of algorithms for enforcing nonnegativity constraints in scientific computation is given. Special emphasis is placed on such constraints in least squares computations in…

Covariance-Preconditioned Iterative Methods for Nonnegatively Constrained Astronomical Imaging

- Computer ScienceSIAM J. Matrix Anal. Appl.
- 2006

Each of the methods presented can be viewed as an implementation of a preconditionsed modified residual-norm steepest descent algorithm with a specific preconditioner, and it is shown that the well-known and often used Richardson-Lucy algorithm is one such method.