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

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Montip Tiensuwan
Satinee Lertprapai
Bimal K Sinha

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 = &space;[n+\sqrt{n}], 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

Article Details

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Original Research Articles

References

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