Recognizing the Maximum of a Sequence

  • John P. Gilbert
  • Frederick Mosteller
Part of the Springer Series in Statistics book series (SSS)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Arrow, K.J., Blackwell, D., and Girshick, M.A., “Bayes and minimax solutions of sequential decision problems,” Econometrica, 17 (1949), 213–44.CrossRefMathSciNetGoogle Scholar
  2. [2]
    Bissinger, B.H., and Siegel, C., “Problem 5086,” Advanced Problems and Solutions, American Mathematical Monthly, 70 (1963), 336.MathSciNetGoogle Scholar
  3. [3]
    Bosch, A.J., “Solution to Problem 5086: Optimum strategy in a guessing game,” Advanced Problems and Solutions, American Mathematical Monthly, 71 (1964), 329–30.CrossRefMathSciNetGoogle Scholar
  4. [4]
    Chow, Y.S., Moriguti, S., Robbins, H., and Samuels, S.M., “Optimum selection based on relative rank (the’ secretary Problem’),” Israel Journal of Mathematics, 2 (1964), 81–90.MathSciNetGoogle Scholar
  5. [5]
    Chow, Y.S., and Robbins, H., “On optimal stopping rules,” Z. Wahrscheinlichkeitstheorie, 2 (1963), 33–49.CrossRefMathSciNetGoogle Scholar
  6. [6]
    Fox, J.H., and Marnie, L.G., in Martin Gardner’s column, “Mathematical Games,” Scientific American, 202 (Feb. 1960), 150 and 153.Google Scholar
  7. [7]
    Gleason, Andrew, personal communication (1955).Google Scholar
  8. [8]
    Gleason, Andrew, personal communication (1963).Google Scholar
  9. [9]
    Harter, Leon, Expected values of Exponential, Weibull, and Gamma Order Statistics, ARL 64-31, Office of Aerospace Research, United States Air Force, Wright-Patterson Air Force Base, Ohio (Feb.1964).Google Scholar
  10. [10]
    Kaufman, G.M., “Sequential investment analysis under uncertainty,” The Journal of Business of the University of Chicago, 36 (1963), 39–64.Google Scholar
  11. [11]
    Lindley, D.V., “Dynamic programming and decision theory,” Applied Statistics, 10 (1961), 39–51.CrossRefMathSciNetGoogle Scholar
  12. [12]
    Moser, Leo, and Pounder, J.R., in Martin Gardner’s column, “Mathematical Games,” Scientific American, 202 (March 1960), 178 and 181.Google Scholar
  13. [13]
    Moser, Leo, “On a problem of Cayley,” Scripta Mathematica, 22 (1956), 289–92.Google Scholar
  14. [14]
    Guttman, Irwin, “On a problem of L. Moser,” Canadian Mathematical Bulletin, 3 (1960), 35–39.MathSciNetGoogle Scholar

Copyright information

© Springer Science + Business Media, LLC 2006

Authors and Affiliations

  • John P. Gilbert
    • 1
    • 2
  • Frederick Mosteller
    • 3
  1. 1.Center for Advanced Study in the Behavioral SciencesUSA
  2. 2.University of North CarolinaUSA
  3. 3.Harvard UniversityUSA

Personalised recommendations