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Titlebook: {2}-Inverses and Their Statistical Application; Albert J. Getson,Francis C. Hsuan Book 1988 Springer-Verlag Berlin Heidelberg 1988 Delphi.

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期刊全称{2}-Inverses and Their Statistical Application
影响因子2023Albert J. Getson,Francis C. Hsuan
视频video
学科分类Lecture Notes in Statistics
图书封面Titlebook: {2}-Inverses and Their Statistical Application;  Albert J. Getson,Francis C. Hsuan Book 1988 Springer-Verlag Berlin Heidelberg 1988 Delphi.
影响因子Much of the traditional approach to linear model analysis is bound up in complex matrix expressions revolving about the usual generalized inverse. Motivated by this important role of the generalized inverse. the research summarized here began as an interest in understanding. in geometric terms. the four conditions defining the qnique Moore-Penrose Inverse. Such an investigation. it was hoped. might lead to a better understanding. and possibly a simplification of. the usual matrix expressions. Initially this research was begun by Francis Hsuan and Pat Langenberg, without knowledge of Kruskal‘s paper published in 1975. This oversight was perhaps fortu­ nate. since if they had read his paper they may not have continued their effort. A summary of this early research appears in Hsuan. Langenberg and Getson (1985). This monograph is a summary of the research on {2}-inverses continued by Al Getson. while a graduate student. in collaboration with Francis Hsuan of the Depart­ ment of Statistics. School of Business Administration. at Temple University. Philadelphia. The literature on generalized inverses and related topics is extensive and some of what is present here has appeared elsewhere.
Pindex Book 1988
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Strafbare Handlungen gegen die Rechtspflege,As noted in the previous chapter, various classes of generalized inverses have been proposed in the literature. Geometric characterizations of generalized inverses were presented by Kruskal (1975) and, more recently, by Rao and Yanai (1985). The principal aim of this chapter is to unify and expand upon these diverse approaches in a consistent way.
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Christian Bertel,Klaus SchwaighoferThe concept of least squares is the cornerstone of regression and linear model analysis. Many statistical texts consider at length the associated theory and propose various strategies for obtaining least squares solutions (LSS’s), e.g. Searle (1971), Graybill (1976), and Draper and Smith (1981).
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Strafbare Handlungen gegen die Rechtspflege,For an experiment designed with an equal number of replications in each cell, there is little controversy concerning the sum of squares to be used in testing the various effects. However, in reality most data are imbalanced and there is no unanimity of opinion as to the sum of squares appropriate for testing the various effects.
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{2}-Inverses and Their Statistical Application978-1-4612-3930-7Series ISSN 0930-0325 Series E-ISSN 2197-7186
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978-0-387-96849-0Springer-Verlag Berlin Heidelberg 1988
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,Störung der Beziehungen zum Ausland,ormal variables with only nonnegative definite and possibly singular covariance by Good (1963, 1969, 1970), Khatri (1963, 1977) and Shanbhag (1966, 1968). Unfortunately in this case the conditions become more complicated and lose their previous simplicity.
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