Skip to main content
Log in

Prediction in the linear model under a linear constraint

  • Original Paper
  • Published:
AStA Advances in Statistical Analysis Aims and scope Submit manuscript

Abstract

In this paper we determine the Gauss–Markov predictor of the nonobservable part of a random vector satisfying the linear model under a linear constraint.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Halliwell, L.J.: Conjoint prediction of paid and incurred losses. CAS Forum, Summer 1997, pp. 241–379 (1997)

  • Hamer, M.D.: Loss prediction by generalized least squares—Discussion of Halliwell (1996). Proc. CAS 86, 748–763 (1999)

    Google Scholar 

  • Radtke, M., Schmidt, K.D. (eds.): Handbuch zur Schadenreservierung. Versicherungswirtschaft, Karlsruhe (2004)

    Google Scholar 

  • Rao, C.R., Toutenburg, H.: Linear Models—Least Squares and Alternatives. Springer, Berlin (1995)

    MATH  Google Scholar 

  • Schmidt, K.D.: Prediction. In: Encyclopedia of Actuarial Science, vol. 3, pp. 1317–1321. Wiley, Chichester (2004a)

    Google Scholar 

  • Schmidt, K.D.: Lineare Modelle (Grundlagen). In: Handbuch zur Schadenreservierung, pp. 115–122. Versicherungswirtschaft, Karlsruhe (2004b)

    Google Scholar 

  • Schmidt, K.D.: Lineare Modelle (Schadenreservierung). In: Handbuch zur Schadenreservierung, pp. 123–130. Versicherungswirtschaft, Karlsruhe (2004c)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Klaus D. Schmidt.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kloberdanz, K., Schmidt, K.D. Prediction in the linear model under a linear constraint. AStA 92, 207–215 (2008). https://doi.org/10.1007/s10182-008-0062-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10182-008-0062-5

Keywords

Navigation