Measurement, Regression, and Calibration

Erscheinungsjahr 1994
ISBN: 978-0-19-852245-4
Verlag: OUP Oxford

Buch, Englisch, 210 Seiten, Print PDF, Format (B × H): 157 mm x 235 mm, Gewicht: 502 g

The book starts with a range of examples and develops techniques progressively, starting with standard least squares prediction of a single variable from another and moving onto shrinkage techniques for multiple variables. Chapters 6 and 7 refer mostly to methods that have been specifically developed for spectroscopy. The other chapters are quite general in their applicability. Likelihood and Bayesian inference features strongly, the latter allowing flexible analysis of a wide range of multivariate regression problems. The last chapter presents some Bayesian approaches to pattern recognition.

For teaching purposes instructors may find particular chapters sufficiently self contained to recommend in isolation as reference or reading material. For example chapter 4 gives an in depth development of a range of shrinkage techniques. including partial least squares regression, ridge regression and principal components regression; together with discussion of the recently proposed continuum regression. Chapter 8 on pattern recognition may also be of us by itself in courses on multivariate analysis and Bayesian Statistics.

Autoren/Hrsg.

Brown, Philip J.

Brown, P. J.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

- Introduction

- 1: Simple linear regression

- 2: Multiple regression and calibration

- 3: Regularized multiple regression

- 4: Multivariate calibration

- 5: Regession on curves

- 6: Non-linearity and selection

- 7: Pattern recognition

- A: Distribution theory

- B: Conditional inference

- C: Regularization dominance

- E: Partial least-squares algorithm

- Bibliography

- Index