Abstract
In general, it is non-optimal to estimate, on the basis of past experience and as a basis for present action, an a posteriori statistical parameter other than the optimal action itself.
Supported by the Office of Naval Research under task number NR-047-041, by the Electronic Systems Division, Systems Design Laboratory under contract number AF 19(628)-31, and by a grant from the Ford Foundation to Western Management Science Institute.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Wald, Abraham, Statistical Decision Functions, 1950.
Bellman, Richard, Dynamic Programming, 1957.
Bellman, Richard, Adaptive Control Processes, 1961.
Fisher, Walter D., ‘Estimation in the Linear Decision Model’, International Economic Review, 3, No. 1 (January 1962), 1–29.
Joseph, Peter D. and Tou, Julius T., ‘On Linear Control Theory’, Applications and Industry, publ. by American Institute of Electrical Engineers, September 1961.
Gauss, Carl Friedrich, Aus der Theorie der Bewegung der Himmelskoerper (1809), 2. Buch, 3. Abschnitt, Sec. 176–179. Translation from Latin in selected Abhandlungen zur Methode der kleinsten Quadrate (A. Boersch and P. Simon, eds. ), Berlin 1887, pp. 99–104.
Neyman, Jerzy, ‘Note on an Article by Sir Ronald Fisher’, Journal Royal Stat. Soc. B18 (1956), 288–294. Neyman quotes from Gauss’ Theorie der… Combination der Beobachtungen (1821), See. 6, also included in the Abhandlungen…, (see pre-ceding footnote), pp. 5–6.
Fisher, Sir Ronald, ‘Statistical Methods and Scientific Induction’, Journal Royal Stat. Soc. B 17 (1955), 69–78.
Miyasawa, Koichi, ‘Information Structures in Stochastic Programming Problems’, Management Science 14 (1968) 5, esp. p. 276.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1974 D. Reidel Publishing Company, Dordrecht, Holland
About this chapter
Cite this chapter
Marschak, J. (1974). On Adaptive Programming (1963). In: Economic Information, Decision, and Prediction. Theory and Decision Library, vol 7-1. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9276-0_12
Download citation
DOI: https://doi.org/10.1007/978-94-010-9276-0_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-1195-3
Online ISBN: 978-94-010-9276-0
eBook Packages: Springer Book Archive