Estimating the width of a uniform distribution when data are measured with additive normal errors with known variance

被引：10
|
作者：
Bensic, Mirta [1 ]
Sabo, Kristian [1 ]
机构：
[1] Univ Osijek, Dept Math, HR-31000 Osijek, Croatia
来源：
COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2007年 / 51卷 / 09期
关键词：
maximum likelihood estimator; method of moments estimator; measurement error; uniform distribution;
D O I：
10.1016/j.csda.2006.09.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The problem of estimating the width of the symmetric uniform distribution on the line when data are measured with normal additive error is considered. The main purpose is to discuss the efficiency of the maximum likelihood estimator and the moment method estimator. It is shown that the model is regular and that the maximum likelihood estimator is more efficient than the moment method estimator. A sufficient condition is also given for the existence of both estimators. (c) 2006 Elsevier B.V. All rights reserved.
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页码：4731 / 4741
页数：11
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