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Article contents
The Pricing Problem
Published online by Cambridge University Press: 27 July 2009
Abstract
A sequential procedure to select optimal prices based on maximum likelihood estimation is considered. Asymptotic properties of the pricing scheme and the concommitant estimation problem are examined. For small sample sizes, simulation results show that the proposed procedure has high efficiency relative to the best procedure when the parameter is known.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 1 , Issue 3 , July 1987 , pp. 349 - 366
- Copyright
- Copyright © Cambridge University Press 1987
References
1Albert, A. E. (1961). The sequential design of experiments for infinitely many states of nature. Ann. Math. Statist. 32: 774–799.CrossRefGoogle Scholar
2Brown, B. M. (1971). Martingale central limit theorems. Ann. Math. Statist. 42: 59–66.CrossRefGoogle Scholar
3Chernoff, H. (1959). Sequential design of experiments. Ann. Math. Statist. 30: 755–777.CrossRefGoogle Scholar
4Hall, P., & Heyde, C. C. (1980). Martingale limit theory and its applications. New York: Academic Press.Google Scholar
5Kiefer, J., & Wolfowitz, J. (1952). Stochastic estimation of the maximum of a regression function. Ann. Math. Statist. 23: 462–466.CrossRefGoogle Scholar
7Rothschild, M. (1974). A two-armed bandit theory on market pricing. J. Economic Theory 9: 185–202.CrossRefGoogle Scholar
8Schmalensee, R. (1975). Alternate models of bandit selection. J. Economic Theory 10: 333–342.CrossRefGoogle Scholar