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Estimation of variances in orthogonal finite discrete spectrum linear regression models
Authors:Franti?ek??tulajter  author-information"  >  author-information__contact u-icon-before"  >  mailto:Frantisek.Stulajter@fmph.uniba.sk"   title="  Frantisek.Stulajter@fmph.uniba.sk"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Viktor?Witkovsky
Affiliation:(1) Faculty of Mathematics, Physics and Informatics Comenius University Bratislava, Slovak Republic;(2) Institute of Measurement Science, Slovak Academy of Sciences, Dubrauska cesta 9, 84219 Bratislava, Slovak Republic
Abstract:The Invariant Quadratic Estimators, the Maximum Likelihood Estimator (MLE) and Restricted Maximum Likelihood Estimator (REML) of variances in an orthogonal Finite Discrete Spectrum Linear Regression Model (FDSLRM) are derived and the problems of unbiasedness and consistency of these estimators are investigated.Acknowledgement. The research was supported by the grants 1/0272/03, 1/0264/03 and 2/4026/04 of the Slovak Scientific Grant Agency VEGA.
Keywords:Time series  finite discrete spectrum linear regression model  invariant quadratic estimators of variance components  maximum likelihood estimation  restricted maximum likelihood estimation
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