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On a Comparison of two Standard Estimators of a Binomial Proportion by Multiple Criteria Decision Making Method

On a Comparison of Two Standard Estimators of a Binomial Proportion by Multiple Criteria Decision Making Method

Original Research ArticleNov 12, 2018Vol. 5 No. 1 (2005)

Abstract

In this paper, we consider the problem of estimation of a binomial proportion θ based X ~ B(n,θ) n being known, 0<θ<1, θ being unknown. We compare two standard estimators of θ, namely, T1 = X / n, and T2 = , on the basis of Multiple Criteria Decision Making (MCDM) procedure. Our recommendation is that we should use T2 rather than T1 for small values of n.

 

Keywords:  Binomial distribution, proportion, multiple criteria decision making

Corresponding author: E-mail : scmts@mahidol.ac.th

How to Cite

Tiensuwan, M. ., Lertprapai, S. ., & Sinha, B. K. . (2018). On a Comparison of two Standard Estimators of a Binomial Proportion by Multiple Criteria Decision Making Method. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 420-435.

References

  • Casella, G., and Berger, R.L. (1990). Statistical Inference. Wadsworth Inc. California, USA.
  • Zeleny, M.(1982). Multiple Criteria Decision Making. McGraw-Hill, New York, USA.
  • Lertprapai, S., Tiensuwan, M., and Sinha Bimal, K. (2003). A statistical approach to combining environmental indices with an application to air pollution data from Bangkok, Thailand. Technical Report, Department of Mathematics and Statistics, UMBC and Department of Mathematics, Mahidol University, Thailand.
  • Filar, J.A., Ross, N.P., and Wu, M.L.(1999). Environmental Assessment Based on Multiple Indicators. Technical Report, Department of Applied Mathematics, University of South Australia, Australia.

Author Information

Montip Tiensuwan

Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand

Satinee Lertprapai

Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand

Bimal K Sinha

Department of Mathematics and Statistics, University of Maryland, USA

About this Article

Journal

Vol. 5 No. 1 (2005)

Type of Manuscript

Original Research Article

Keywords

Binomial distribution, proportion, multiple criteria decision making

Published

12 November 2018