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## Perturbative renormalization group: Explicit calculations

*Jean Zinn-Justin*

### in Phase Transitions and Renormalization Group

- Published in print:
- 2007
- Published Online:
- January 2010
- ISBN:
- 9780199227198
- eISBN:
- 9780191711107
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199227198.003.0010
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter uses the assumptions introduced in Chapter 9 to show that it is indeed possible to find a non-Gaussian fixed point in dimension d = 4 - e, both in models with reflection and rotation ... More

## Likelihoods and likelihood ratios

*Thomas D. Wickens*

### in Elementary Signal Detection Theory

- Published in print:
- 2001
- Published Online:
- April 2010
- ISBN:
- 9780195092509
- eISBN:
- 9780199893812
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195092509.003.0009
- Subject:
- Psychology, Cognitive Psychology

Likelihoods — the probabilities treated as a function of their parameters — are a key concept in statistical decision theory. When applied to signal detection, they give a general method for ... More

## Basic Concepts for Smoothing and Semiparametric Regression

*Ludwig Fahrmeir and Thomas Kneib*

### in Bayesian Smoothing and Regression for Longitudinal, Spatial and Event History Data

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199533022
- eISBN:
- 9780191728501
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199533022.003.0002
- Subject:
- Mathematics, Probability / Statistics, Biostatistics

This chapter reviews basic concepts for smoothing and semiparametric regression based on roughness penalties or — from a Bayesian perspective — corresponding smoothness priors. In particular, it ... More

## Generalized Linear Mixed Models

*Ludwig Fahrmeir and Thomas Kneib*

### in Bayesian Smoothing and Regression for Longitudinal, Spatial and Event History Data

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199533022
- eISBN:
- 9780191728501
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199533022.003.0003
- Subject:
- Mathematics, Probability / Statistics, Biostatistics

This chapter gives an introduction to linear and generalized linear mixed models. The primary goal is to describe concepts for statistical modelling and inference in this class of models that are ... More

## Approximate filtering and smoothing

*J. Durbin and S.J. Koopman*

### in Time Series Analysis by State Space Methods: Second Edition

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199641178
- eISBN:
- 9780191774881
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641178.003.0010
- Subject:
- Mathematics, Probability / Statistics

This chapter discusses approximate filtering and smoothing methods for the analysis of non-Gaussian and nonlinear models. The chapter is organized as follows. Sections 10.2 and 10.3 consider two ... More

## Importance sampling for smoothing

*J. Durbin and S.J. Koopman*

### in Time Series Analysis by State Space Methods: Second Edition

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199641178
- eISBN:
- 9780191774881
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641178.003.0011
- Subject:
- Mathematics, Probability / Statistics

This chapter develops the methodology of importance sampling based on simulation for the analysis of observations from the non-Gaussian and nonlinear models that were specified in Chapter 9. It shows ... More

## Particle filtering

*J. Durbin and S.J. Koopman*

### in Time Series Analysis by State Space Methods: Second Edition

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199641178
- eISBN:
- 9780191774881
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641178.003.0012
- Subject:
- Mathematics, Probability / Statistics

This chapter discusses the filtering of non-Gaussian and nonlinear series by fixing the sample at the values previously obtained at times …, t − 2, t − 1 and choosing a fresh value at time t only. A ... More

## Non-Gaussian and nonlinear illustrations

*J. Durbin and S.J. Koopman*

### in Time Series Analysis by State Space Methods: Second Edition

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199641178
- eISBN:
- 9780191774881
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641178.003.0014
- Subject:
- Mathematics, Probability / Statistics

This chapter discusses examples which illustrate the methods that were developed in Part II for analysing observations using non-Gaussian and nonlinear state space models. These include the monthly ... More

## Introduction

*J. Durbin and S.J. Koopman*

### in Time Series Analysis by State Space Methods: Second Edition

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199641178
- eISBN:
- 9780191774881
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199641178.003.0001
- Subject:
- Mathematics, Probability / Statistics

This introductory chapter provides an overview of the main themes covered in the present book, namely linear Gaussian state space models and non-Gaussian and nonlinear state space models. It also ... More

## Tricks of the trade

*Paul T. Callaghan*

### in Translational Dynamics and Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780199556984
- eISBN:
- 9780191774928
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556984.003.0012
- Subject:
- Physics, Condensed Matter Physics / Materials, Nuclear and Plasma Physics

This chapter gives pointers to the experimentalist on how to avoid artifact in the practical implementation of Pulsed Gradient Spin Echo NMR, and explores the role of the instrumental diffusion ... More

## The renormalization group applied to turbulence

*W. David McComb*

### in Homogeneous, Isotropic Turbulence: Phenomenology, Renormalization and Statistical Closures

- Published in print:
- 2014
- Published Online:
- April 2014
- ISBN:
- 9780199689385
- eISBN:
- 9780191768255
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199689385.003.0011
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The basic algorithm of RG applied to turbulence is really very simple. Naturally, there are practical difficulties in the way, and so we can only expect to carry the procedure out as an ... More

## Introduction to the Kalman filter

*C. Snyder*

### in Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012

- Published in print:
- 2014
- Published Online:
- March 2015
- ISBN:
- 9780198723844
- eISBN:
- 9780191791185
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198723844.003.0003
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics

This chapter introduces The Kalman filter, which implements Bayesian data assimilation for linear, Gaussian systems. Its update equations can also be derived as the best linear unbiased estimator ... More

## Quantum Optomechanics: from Gravitational Wave Detectors to Macroscopic Quantum Mechanics

*Yanbei Chen*

### in Quantum Optomechanics and Nanomechanics: Lecture Notes of the Les Houches Summer School: Volume 105, August 2015

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198828143
- eISBN:
- 9780191866920
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198828143.003.0004
- Subject:
- Physics, Atomic, Laser, and Optical Physics

The quantum measurement process connects the quantum world and the classical world. The phrase ‘quantum measurement’ can have two meanings: measurement of a weak classical force, with the impact of ... More

## Data assimilation in meteorology

*F. Rabier and M. Fisher*

### in Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012

- Published in print:
- 2014
- Published Online:
- March 2015
- ISBN:
- 9780198723844
- eISBN:
- 9780191791185
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198723844.003.0019
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics

This chapter discusses some of the implementation details that are necessary to apply data assimilation in the context of numerical weather prediction (NWP). It is divided into three parts. The first ... More

## Forecasting the Boat Race

*Geert Mesters and Siem Jan Koopman*

### in Unobserved Components and Time Series Econometrics

- Published in print:
- 2015
- Published Online:
- January 2016
- ISBN:
- 9780199683666
- eISBN:
- 9780191763298
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199683666.003.0007
- Subject:
- Economics and Finance, Econometrics

This chapter looks at the forecasting of the yearly outcome of the Boat Race between Cambridge and Oxford. The relative performance of different dynamic models for forty years of forecasting is ... More

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