Improved Linear Combination of Two Estimators for a Function of Interested Parameter

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2016-07-01 DOI:10.15446/RCE.V39N2.51586

A. Fallah, H. Khoshtarkib

引用次数: 0

Abstract

In this paper, we consider the problem of improving the efficiency of a linear combination of two estimators when the population coefficient of variation is known. We generalized the discussion from the case of a parameter to a function of are interested parameter. We show that two estimators obtained from a improved linear combination of two estimators and a linear combination of two improved estimators are equivalent in terms of efficiency. We also show how a doubly-improved linear combination of two estimators can be constructed when the population coefficient of variation is known.

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感兴趣参数函数两个估计量的改进线性组合

本文研究了当总体变异系数已知时，如何提高两个估计量线性组合的效率问题。我们将讨论从一个参数的情况推广到一个感兴趣参数的函数。我们证明了由两个估计量的改进线性组合和两个改进估计量的线性组合得到的两个估计量在效率方面是等价的。我们还展示了当总体变异系数已知时，如何构造两个估计量的双改进线性组合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.