On a comparison of the variance estimates of exponential distribution by multiple criteria decision making method

Article type: Research Article

Authors: Lertprapai, Satinee^{a; c} | Tiensuwan, Montip^{b; c; *}

Affiliations: [a] Department of Mathematics, Faculty of Science, Burapha University, Chonburi, Thailand | [b] Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand | [c] Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok, Thailand

Correspondence: [*] Corresponding author: Montip Tiensuwan, Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand. E-mail: [email protected].

Abstract: In this paper, we consider the problem of estimation of the variance, θ2 in one parameter exponential distribution when a prior point estimate of the variance is available. We compare five estimators of the variance, including class of four shrinkage estimators and one shrinkage estimator. The estimators of θ2 are compared based on the Multiple Criteria Decision Making (MCDM) procedure in order to rank the estimators from the best to the worst in terms of their mean squared errors and to obtain the best estimator.

Keywords: Exponential distribution, multiple criteria decision making, variance estimator

DOI: 10.3233/MAS-2012-0230

Journal: Model Assisted Statistics and Applications, vol. 7, no. 3, pp. 251-260, 2012