Skip to main content
SpringerLink
Log in

Bayesian sequential methods for choosing the best multinomial cell: some simulation results

  • Articles
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

Suboptimal Bayesian sequential methods for choosing the best (i.e. largest probability) multinomial cell are considered and their performance is studied using Monte Carlo simulation. Performance characteristics, such as the probability of correct selection and some other associated with the sample size distribution, are evaluated assuming a maximum sample size. Single observation sequential rules as well as rules, where groups of observations are taken, and fixed sample size rules are discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Alam, K. (1971). On selecting the most probable category, Technometrics13, 843–850.

    Article  MATH  Google Scholar 

  • Cheng, R.C.H. (1977). The generation of gamma variables with non-integral shape parameters, Appl. Stat.26, 71–75.

    Article  Google Scholar 

  • Dudewicz, E.J. (1976). Introduction to statistics and probability, Holt, Rinehart and Winston.

  • Gibbons, J.D., Olkin, I., Sobel, M. (1977). Selecting and Ordering Populations: A New Statistical Methodology, John Wiley and Sons, New York.

    MATH  Google Scholar 

  • Kulkarni, R.V. (1981). Closed adaptive sequential procedures for selecting the best of k≥2 Bernoulli populations, Ph.D. dissertation, Cornell University, Ithaca, New York.

    Google Scholar 

  • NAGFLIB (May 1977): 1454/O: MK6: Numerical Algorithms Group Ltd., Oxford, U.K.

    Google Scholar 

  • Ramey, J.T., Alam, L. (1979). A sequential procedure for selecting the most probable multinomial event, Biometrika66, 171–173.

    Article  MathSciNet  Google Scholar 

  • Ramey, J.T., Alam, K. (1980). A Bayes sequential procedure for selecting the most probable multinomial event, Communications in Statistics—Theory and Methods A9(3), 265–276.

    Article  MathSciNet  Google Scholar 

  • Wilks, S.S. (1962). Mathematical Statistics, John Wiley and Sons, New York.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Keele, ST5 5BG, Keele, UK

    P. W. Jones

  2. Department of Statistics, College of Administration and Economics, Salahaddin University, Erbil, Iraq

    S. A. Madhi

Authors
  1. P. W. Jones
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Madhi
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jones, P.W., Madhi, S.A. Bayesian sequential methods for choosing the best multinomial cell: some simulation results. Statistical Papers 29, 125–132 (1988). https://doi.org/10.1007/BF02924517

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02924517

Keywords

Search

Navigation