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.
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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)
Radtke, M., Schmidt, K.D. (eds.): Handbuch zur Schadenreservierung. Versicherungswirtschaft, Karlsruhe (2004)
Rao, C.R., Toutenburg, H.: Linear Models—Least Squares and Alternatives. Springer, Berlin (1995)
Schmidt, K.D.: Prediction. In: Encyclopedia of Actuarial Science, vol. 3, pp. 1317–1321. Wiley, Chichester (2004a)
Schmidt, K.D.: Lineare Modelle (Grundlagen). In: Handbuch zur Schadenreservierung, pp. 115–122. Versicherungswirtschaft, Karlsruhe (2004b)
Schmidt, K.D.: Lineare Modelle (Schadenreservierung). In: Handbuch zur Schadenreservierung, pp. 123–130. Versicherungswirtschaft, Karlsruhe (2004c)
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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
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DOI: https://doi.org/10.1007/s10182-008-0062-5