On a Comparison of two Standard Estimators of a Binomial Proportion by Multiple Criteria Decision Making Method
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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
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References
[2] Zeleny, M.(1982). Multiple Criteria Decision Making. McGraw-Hill, New York, USA.
[3] 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.
[4] 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.