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Efficient Mean Estimation in Log-normal Linear Models with First-order Correlated Errors

Efficient Mean Estimation in Log-normal Linear Models with First-order Correlated Errors
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摘要 In this paper, we propose a log-normal linear model whose errors are first-order correlated, and suggest a two-stage method for the efficient estimation of the conditional mean of the response variable at the original scale. We obtain two estimators which minimize the asymptotic mean squared error (MM) and the asymptotic bias (MB), respectively. Both the estimators are very easy to implement, and simulation studies show that they are perform better. In this paper, we propose a log-normal linear model whose errors are first-order correlated, and suggest a two-stage method for the efficient estimation of the conditional mean of the response variable at the original scale. We obtain two estimators which minimize the asymptotic mean squared error (MM) and the asymptotic bias (MB), respectively. Both the estimators are very easy to implement, and simulation studies show that they are perform better.
出处 《Communications in Mathematical Research》 CSCD 2013年第3期271-279,共9页 数学研究通讯(英文版)
基金 The NSF(11271155) of China Research Fund(20070183023) for the Doctoral Program of Higher Education
关键词 log-normal first-order correlated maximum likelihood two-stage estimation mean squared error log-normal, first-order correlated, maximum likelihood, two-stage estimation, mean squared error
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