ML estimation and an efficiency study for mean estimators in spatially correlated repeated arrays

Dong Wan Shin

doi:10.1016/j.jkss.2008.06.003

ML estimation and an efficiency study for mean estimators in spatially correlated repeated arrays

Dong Wan Shin

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

For spatially correlated repeated arrays, a simple method is proposed for maximum likelihood (ML) estimation of the mean parameters. Efficiency of the sample mean over the maximum likelihood estimator (MLE) is analyzed. Spatial correlations combined with heterogeneity of spatial correlations or heterogeneity of error variances are shown to have adverse effect on efficiency of the sample mean. Therefore, in such spatially correlated and heterogeneous situations, it is recommended that spatial correlations should be properly addressed in estimating mean parameters.

Original language	English
Pages (from-to)	47-52
Number of pages	6
Journal	Journal of the Korean Statistical Society
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/j.jkss.2008.06.003
State	Published - Mar 2009

Bibliographical note

Funding Information:
The authors are very grateful for two anonymous referees for their helpful comments. This work was supported by grant R01-2006-000-10563 from the Basic Research Program of the Korea Science & Engineering Foundation.

Keywords

62F10
62P10
Gene effects
Heterogeneity
Maximum likelihood estimator
Microarray
primary
secondary

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10.1016/j.jkss.2008.06.003

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abstract = "For spatially correlated repeated arrays, a simple method is proposed for maximum likelihood (ML) estimation of the mean parameters. Efficiency of the sample mean over the maximum likelihood estimator (MLE) is analyzed. Spatial correlations combined with heterogeneity of spatial correlations or heterogeneity of error variances are shown to have adverse effect on efficiency of the sample mean. Therefore, in such spatially correlated and heterogeneous situations, it is recommended that spatial correlations should be properly addressed in estimating mean parameters.",

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AB - For spatially correlated repeated arrays, a simple method is proposed for maximum likelihood (ML) estimation of the mean parameters. Efficiency of the sample mean over the maximum likelihood estimator (MLE) is analyzed. Spatial correlations combined with heterogeneity of spatial correlations or heterogeneity of error variances are shown to have adverse effect on efficiency of the sample mean. Therefore, in such spatially correlated and heterogeneous situations, it is recommended that spatial correlations should be properly addressed in estimating mean parameters.

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KW - 62P10

KW - Gene effects

KW - Heterogeneity

KW - Maximum likelihood estimator

KW - Microarray

KW - primary

KW - secondary

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JO - Journal of the Korean Statistical Society

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ER -

ML estimation and an efficiency study for mean estimators in spatially correlated repeated arrays

Abstract

Bibliographical note

Keywords

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