## The Universality of the Radon Transform

*Leon Ehrenpreis*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198509783
- eISBN:
- 9780191709166
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509783.001.0001
- Subject:
- Mathematics, Mathematical Physics

Radon showed how to write arbitrary functions in Rn in terms of the characteristic functions (delta functions) of hyperplanes. This idea leads to various generalizations. For example, R can be ... More

## INTRODUCTION

*Leon Ehrenpreis*

### in The Universality of the Radon Transform

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198509783
- eISBN:
- 9780191709166
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509783.003.0001
- Subject:
- Mathematics, Mathematical Physics

This introductory chapter presents a detailed summary of the highlights of the book. In particular, it explains in various contexts why the Radon transform leads to a “basis” for all functions, and ... More

## Statistical Alternatives and Supplements to Random Sampling

*Patrick Dattalo*

### in Strategies to Approximate Random Sampling and Assignment

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780195378351
- eISBN:
- 9780199864645
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195378351.003.0003
- Subject:
- Social Work, Research and Evaluation

This chapter describes the following alternatives and complements to RS in terms of their assumptions, implementations, strengths, and weaknesses: (1) randomization tests; (2) multiple imputation; ... More

## Statistical Inference in Nonparametric Frontier Models: Recent Developments and Perspectives

*Léopold Simar Paul W. Wilson*

### in The Measurement of Productive Efficiency and Productivity Change

- Published in print:
- 2008
- Published Online:
- January 2008
- ISBN:
- 9780195183528
- eISBN:
- 9780199870288
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195183528.003.0004
- Subject:
- Economics and Finance, Econometrics

This chapter recasts the parametric and statistical approach of Chapter 2, and the nonparametric and deterministic approach of Chapter 3 into a nonparametric and statistical approach. It presents in ... More

## Human Capital and Economic Growth

*Andreas Savvides and Thanasis Stengos*

- Published in print:
- 2008
- Published Online:
- June 2013
- ISBN:
- 9780804755405
- eISBN:
- 9780804769761
- Item type:
- book

- Publisher:
- Stanford University Press
- DOI:
- 10.11126/stanford/9780804755405.001.0001
- Subject:
- Economics and Finance, Econometrics

This book provides an in-depth investigation of the link between human capital and economic growth. The book examines the determinants of economic growth through a historical overview of the concept ... More

## Nonparametric Bayesian Networks *

*Katja Ickstadt, Bjöorn Bornkamp, Marco Grzegorczyk, Jakob Wieczorek, Malik R. Sheriff, Hernáan E. Grecco, and Eli Zamir*

### in Bayesian Statistics 9

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199694587
- eISBN:
- 9780191731921
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199694587.003.0010
- Subject:
- Mathematics, Probability / Statistics

A convenient way of modelling complex interactions is by employing graphs or networks which correspond to conditional independence structures in an underlying statistical model. One main class of ... More

## Particle Learning for Sequential Bayesian Computation *

*Hedibert F. Lopes, Michael S. Johannes, Carlos M. Carvalho, and Nicholas G. Polson*

### in Bayesian Statistics 9

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199694587
- eISBN:
- 9780191731921
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199694587.003.0011
- Subject:
- Mathematics, Probability / Statistics

Particle learning provides a simulation‐based approach to sequential Bayesian computation. To sample from a posterior distribution of interest we use an essential state vector together with a ... More

## Modelling Nonlinear Economic Time Series

*Timo Teräsvirta, Dag Tjøstheim, and Clive W. J. Granger*

- Published in print:
- 2010
- Published Online:
- May 2011
- ISBN:
- 9780199587148
- eISBN:
- 9780191595387
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199587148.001.0001
- Subject:
- Economics and Finance, Econometrics

This book contains a up-to-date overview of nonlinear time series models and their application to modelling economic relationships. It considers nonlinear models in stationary and nonstationary ... More

## 11 Nonlinear and nonstationary models

*Timo Teräsvirta, Dag Tjøstheim, and W. J. Granger*

### in Modelling Nonlinear Economic Time Series

- Published in print:
- 2010
- Published Online:
- May 2011
- ISBN:
- 9780199587148
- eISBN:
- 9780191595387
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199587148.003.0011
- Subject:
- Economics and Finance, Econometrics

Long memory, unit root models and cointegration are important in linear modelling of nonstationary processes, not the least in econometrics. Recently, nonlinear generalizations of these concepts have ... More

## 13 Basic nonparametric estimates

*Timo Teräsvirta, Dag Tjøstheim, and W. J. Granger*

### in Modelling Nonlinear Economic Time Series

- Published in print:
- 2010
- Published Online:
- May 2011
- ISBN:
- 9780199587148
- eISBN:
- 9780191595387
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199587148.003.0013
- Subject:
- Economics and Finance, Econometrics

There are several books on the topics treated in this chapter. For completeness and ease of reference, in the present chapter a brief summary of some results in this area is presented. Among other ... More

## 16 Building nonlinear models

*Timo Teräsvirta, Dag Tjøstheim, and W. J. Granger*

### in Modelling Nonlinear Economic Time Series

- Published in print:
- 2010
- Published Online:
- May 2011
- ISBN:
- 9780199587148
- eISBN:
- 9780191595387
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199587148.003.0016
- Subject:
- Economics and Finance, Econometrics

The topic of this chapter is nonlinear model building. Building non‐parametric models is considered first, followed by building various types of parametric nonlinear models. The latter include smooth ... More

## Interlude

*M. D. Edge*

### in Statistical Thinking from Scratch: A Primer for Scientists

- Published in print:
- 2019
- Published Online:
- October 2019
- ISBN:
- 9780198827627
- eISBN:
- 9780191866463
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198827627.003.0007
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter marks a turning point. The preceding two chapters considered probability theory, which describes the kinds of data that result from specified processes. The remainder of the book ... More

## A Primer on Nonparametric Methods and Their Application to Research in Human Capital and Economic Growth

### in Human Capital and Economic Growth

- Published in print:
- 2008
- Published Online:
- June 2013
- ISBN:
- 9780804755405
- eISBN:
- 9780804769761
- Item type:
- chapter

- Publisher:
- Stanford University Press
- DOI:
- 10.11126/stanford/9780804755405.003.0008
- Subject:
- Economics and Finance, Econometrics

This chapter outlines basic nonparametric techniques, looking at their specific applications in testing the human capital–growth relationship. The second section provides an overview of nonparametric ... More

## Graph Kernels by Spectral Transforms

*Zhu Xiaojin, Kandola Jaz, Lafferty John, and Ghahramani Zoubin*

### in Semi-Supervised Learning

- Published in print:
- 2006
- Published Online:
- August 2013
- ISBN:
- 9780262033589
- eISBN:
- 9780262255899
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262033589.003.0015
- Subject:
- Computer Science, Machine Learning

This chapter develops an approach to searching over a nonparametric family of spectral transforms by using convex optimization to maximize kernel alignment to the labeled data. Order constraints are ... More

## The Lifetime Risk of Nursing Home Use

*Michael D. Hurd, Pierre-Carl Michaud, and Susann Rohwedder*

### in Discoveries in the Economics of Aging

- Published in print:
- 2014
- Published Online:
- January 2015
- ISBN:
- 9780226146096
- eISBN:
- 9780226146126
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226146126.003.0003
- Subject:
- Economics and Finance, Public and Welfare

This paper estimates the lifetime risk and distribution of stays in nursing homes using 10 waves of data from the Health and Retirement Study covering the population over the age of 50. Using both ... More

## Geometric weight priors and their applications

*Ramsés H. Mena*

### in Bayesian Theory and Applications

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199695607
- eISBN:
- 9780191744167
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695607.003.0014
- Subject:
- Mathematics, Probability / Statistics

This chapter discusses random probability measures (r.p.m.s) that result in robust choice of nonparametric priors due to their simpler weight structure. The key idea is that having simpler weights ... More

## Revisiting Bayesian curve fitting using multivariate normal mixtures ∗

*Stephen G Walker and George Karabatsos*

### in Bayesian Theory and Applications

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199695607
- eISBN:
- 9780191744167
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695607.003.0015
- Subject:
- Mathematics, Probability / Statistics

This chapter develops a Bayesian nonparametric regression model which relies on a standard Bayesian nonparametric form for the joint distribution of both the dependent and independent variables. The ... More

## Bayesian regression structure discovery

*Hugh A. Chipman, Edward I George, and Robert E. McCulloch*

### in Bayesian Theory and Applications

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199695607
- eISBN:
- 9780191744167
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695607.003.0022
- Subject:
- Mathematics, Probability / Statistics

This chapter describes two different Bayesian approaches that illustrate the vast potential of Bayesian methods to extract information hidden in high-dimensional data. The first is based on the ... More

## Surviving fully Bayesian nonparametric regression models

*Timothy E. Hanson and Alejandro Jara*

### in Bayesian Theory and Applications

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199695607
- eISBN:
- 9780191744167
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695607.003.0030
- Subject:
- Mathematics, Probability / Statistics

This chapter compares two Bayesian nonparametric models that generalize the accelerated failure time model, based on recent work on probability models for predictor-dependent probability ... More

## Flexible Bayesian modelling for clustered categorical responses in developmental toxicology

*Kottas Athanasios and Fronczyk Kassandra*

### in Bayesian Theory and Applications

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199695607
- eISBN:
- 9780191744167
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695607.003.0005
- Subject:
- Mathematics, Probability / Statistics

Developmental toxicity studies investigate birth defects caused by toxic chemicals. This chapter develops a Bayesian nonparametric modelling approach for risk assessment in developmental toxicity ... More