Skip to main content

Linear Prediction

  • Chapter

Part of the Springer Series in Statistics book series (SSS)

Abstract

This book investigates prediction of a spatially varying quantity based on observations of that quantity at some set of locations. Although the notion of prediction sometimes suggests the assessment of something that has not yet happened, here I take it to mean the assessment of any random quantity that is presently not known exactly. This work focuses on quantities that vary continuously in space and for which observations are made without error, although Sections 3.7, 4.2, 4.3, 6.6 and 6.8 do address some issues regarding measurement errors. Our goals are to obtain accurate predictions and to obtain reasonable assessments of the uncertainty in these predictions. The approach to prediction I take is to consider the spatially varying quantity to be a realization of a real-valued random field, that is, a family of random variables whose index set is \( {\mathbb{R}^d} \).

Keywords

  • Hilbert Space
  • Random Field
  • Linear Prediction
  • Local Behavior
  • Spatial Interpolation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-1-4612-1494-6_1
  • Chapter length: 14 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   119.00
Price excludes VAT (USA)
  • ISBN: 978-1-4612-1494-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   159.99
Price excludes VAT (USA)
Hardcover Book
USD   159.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1999 Springer Science+Business Media New York

About this chapter

Cite this chapter

Stein, M.L. (1999). Linear Prediction. In: Interpolation of Spatial Data. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1494-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1494-6_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7166-6

  • Online ISBN: 978-1-4612-1494-6

  • eBook Packages: Springer Book Archive