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

In this paper, we consider the problem of estimation of the variance, θ 2 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 esti...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Satinee Lertprapai, Montip Tiensuwan
مؤلفون آخرون: Burapha University
التنسيق: مقال
منشور في: 2018
الموضوعات:
الوصول للمادة أونلاين:https://repository.li.mahidol.ac.th/handle/123456789/14390
الوسوم: إضافة وسم
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المؤسسة: Mahidol University
الوصف
الملخص:In this paper, we consider the problem of estimation of the variance, θ 2 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 θ 2 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. © 2012 - IOS Press and the authors. All rights reserved.