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Consistent Nonnegative Estimates of Variance Components

Consistent Nonnegative Estimates of Variance Components
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摘要 In this paper, the estimation of variance components in the linear mixed model with two random effects is investigated. The class of combination estimates based on the quadratic invariant statistics and consistent nonnegative estimates are obtained. Furthermore, it is shown that the consistent nonnegative estimate dominates ANOVA estimate under some conditions. In this paper, the estimation of variance components in the linear mixed model with two random effects is investigated. The class of combination estimates based on the quadratic invariant statistics and consistent nonnegative estimates are obtained. Furthermore, it is shown that the consistent nonnegative estimate dominates ANOVA estimate under some conditions.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2010年第2期177-186,共10页 应用数学学报(英文版)
基金 supported by the National Natural Science Foundation of China (No. 10801085) the Research Foundation of North China University of Technology
关键词 Linear mixed models invariant statistics CONSISTENCY nonnegative estimate Linear mixed models, invariant statistics, consistency, nonnegative estimate
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  • 1Wang Songgui,Yin Suju.A new estimate of the parameters in linear mixed models[J].Science in China Series A: Mathematics.2002(10)
  • 2Albert,A.When is a sum of squares an analysis of variance, Ann[].Statistica.1975
  • 3Lehmann,E. L.Testing Statistical Hypotheses, 2nd ed[].New York: John Wiley & Sons.1986

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