portada optimal unbiased estimation of variance components (en Inglés)

optimal unbiased estimation of variance components (en Inglés)

Formato

Libro Físico

Autor

James D. Malley

Editorial

Springer

Año

1986

Idioma

Inglés

N° páginas

146

Encuadernación

Tapa Blanda

Dimensiones

24.4x17x0.9 cm

Peso

0.26 kg.

ISBN

0387964495

ISBN13

9780387964492

Categorías

Probabilidad y estadística
Matemáticas aplicadas

optimal unbiased estimation of variance components (en Inglés)

James D. Malley (Autor) · Springer · Tapa Blanda

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Reseña del libro "optimal unbiased estimation of variance components (en Inglés)"

The clearest way into the Universe is through a forest wilderness. John MuIr As recently as 1970 the problem of obtaining optimal estimates for variance components in a mixed linear model with unbalanced data was considered a miasma of competing, generally weakly motivated estimators, with few firm gUidelines and many simple, compelling but Unanswered questions. Then in 1971 two significant beachheads were secured: the results of Rao [1971a, 1971b] and his MINQUE estimators, and related to these but not originally derived from them, the results of Seely [1971] obtained as part of his introduction of the no ion of quad- ratic subspace into the literature of variance component estimation. These two approaches were ultimately shown to be intimately related by Pukelsheim [1976], who used a linear model for the com- ponents given by Mitra [1970], and in so doing, provided a mathemati- cal framework for estimation which permitted the immediate applica- tion of many of the familiar Gauss-Markov results, methods which had earlier been so successful in the estimation of the parameters in a linear model with only fixed effects. Moreover, this usually enor- mous linear model for the components can be displayed as the starting point for many of the popular variance component estimation tech- niques, thereby unifying the subject in addition to generating answers.