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739 results on '"Christensen, Ronald"'

1. Double Descent: Understanding Linear Model Estimation of Nonidentifiable Parameters and a Model for Overfitting

Author

Christensen, Ronald

Subjects
Statistics - Machine Learning, Computer Science - Machine Learning, Mathematics - Statistics Theory
Abstract

We consider ordinary least squares estimation and variations on least squares estimation such as penalized (regularized) least squares and spectral shrinkage estimates for problems with p > n and associated problems with prediction of new observations. After the introduction of Section 1, Section 2 examines a number of commonly used estimators for p > n. Section 3 introduces prediction with p > n. Section 4 introduces notational changes to facilitate discussion of overfitting and Section 5 illustrates the phenomenon of double descent. We conclude with some final comments.

Published
2024

2. Analysis of variance, design, and regression : linear modeling for unbalanced data.

Author

Christensen, Ronald

Subjects
Analysis of variance, Experimental design, Mathematical statistics, Regression analysis
Abstract

Summary: "Analysis of Variance, Design, and Regression: Linear Modeling for Unbalanced Data, Second Edition presents linear structures for modeling data with an emphasis on how to incorporate specific ideas (hypotheses) about the structure of the data into a linear model for the data. The book carefully analyzes small data sets by using tools that are easily scaled to big data. The tools also apply to small relevant data sets that are extracted from big data. New to the Second Edition: Reorganized to focus on unbalanced data ; Reworked balanced analyses using methods for unbalanced data Introductions to nonparametric and lasso regression ; Introductions to general additive and generalized additive models ; Examination of homologous factors ; Unbalanced split plot analyses ; Extensions to generalized linear models R, Minitab®, and SAS code on the author's website. The text can be used in a variety of courses, including a yearlong graduate course on regression and ANOVA or a data analysis course for upper-division statistics students and graduate students from other fields. It places a strong emphasis on interpreting the range of computer output encountered when dealing with unbalanced data"--Provided by publisher.

Published
2016

5. Analysis of Covariance

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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6. Regression Analysis

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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8. One-Way ANOVA

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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9. Testing

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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10. Introduction

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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11. Estimation

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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12. Variable Selection

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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14. Model Diagnostics

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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15. Split Plot Models

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, Nugent, R., Series Editor, and Christensen, Ronald

Published
2020
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19. Time Domain Analysis

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, NUGENT, R., Series Editor, and Christensen, Ronald

Published
2019
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24. Penalized Estimation

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, NUGENT, R., Series Editor, and Christensen, Ronald

Published
2019
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25. Nonparametric Regression

Author

Christensen, Ronald, Allen, G., Series Editor, De Veaux, R., Series Editor, NUGENT, R., Series Editor, and Christensen, Ronald

Published
2019
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32. A Conversation with Seymour Geisser

Author

Christensen, Ronald and Johnson, Wesley

Subjects
Statistics - Methodology
Abstract

Seymour Geisser received his bachelor's degree in Mathematics from the City College of New York in 1950, and his M.A. and Ph.D. degrees in Mathematical Statistics at the University of North Carolina in 1952 and 1955, respectively. He then held positions at the National Bureau of Standards and the National Institute of Mental Health until 1961. From 1961 until 1965, he was Chief of the Biometry Section at the National Institute of Arthritis and Metabolic Diseases, and also held the position of Professorial Lecturer at the George Washington University from 1960 to 1965. From 1965 to 1970, he was the founding Chair of the Department of Statistics at the State University of New York, Buffalo, and in 1971, he became the founding Director of the School of Statistics at the University of Minnesota, remaining in that position until 2001. He held visiting professorships at Iowa State University, 1960; University of Wisconsin, 1964; University of Tel-Aviv (Israel), 1971; University of Waterloo (Canada), 1972; Stanford University, 1976, 1977, 1988; Carnegie Mellon University, 1976; University of the Orange Free State (South Africa), 1978, 1993; Harvard University, 1981; University of Chicago, 1985; University of Warwick (England), 1986; University of Modena (Italy), 1996; and National Chiao Tung University (Taiwan), 1998. He was the Lady Davis Visiting Professor, Hebrew University of Jerusalem, 1991, 1994, 1999, and the Schor Scholar, Merck Research Laboratories, 2002-2003. He was a Fellow of the Institute of Mathematical Statistics and the American Statistical Association., Comment: Published in at http://dx.doi.org/10.1214/088342307000000131 the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Published
2008
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36. Comment: Fisher Lecture: Dimension Reduction in Regression

Author

Christensen, Ronald

Subjects
Statistics - Methodology
Abstract

Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774], Comment: Published at http://dx.doi.org/10.1214/088342307000000041 in the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Published
2007
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37. Post-approval Studies for Rare Disease Treatments and Orphan Drugs

Author

Maier, William C., Christensen, Ronald A., Anderson, Patricia, COHEN, IRUN R., Series editor, LAJTHA, ABEL, Series editor, LAMBRIS, JOHN D., Series editor, PAOLETTI, RODOLFO, Series editor, REZAEI, NIMA, Series editor, Posada de la Paz, Manuel, editor, Taruscio, Domenica, editor, and Groft, Stephen C., editor

Published
2017
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