{"product_id":"optimal-unbiased-estimation-of-variance-components-lecture-notes-in-statistics-39-0387964495","title":"Optimal Unbiased Estimation of Variance Components (Lecture Notes in Statistics, 39)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0387964495\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Malley, James D.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51823995781408,"sku":"NEW0387964495","price":59.78,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/61WVkrF8zlL.jpg?v=1781206596","url":"https:\/\/miakarts.com\/products\/optimal-unbiased-estimation-of-variance-components-lecture-notes-in-statistics-39-0387964495","provider":"Miakarts Books","version":"1.0","type":"link"}