{2}-Inverses and Their Statistical Application

  • Albert J. Getson
  • Francis C. Hsuan
Part of the Lecture Notes in Statistics book series (LNS, volume 47)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Albert J. Getson, Francis C. Hsuan
    Pages 1-4
  3. Albert J. Getson, Francis C. Hsuan
    Pages 5-34
  4. Albert J. Getson, Francis C. Hsuan
    Pages 35-60
  5. Albert J. Getson, Francis C. Hsuan
    Pages 61-83
  6. Albert J. Getson, Francis C. Hsuan
    Pages 84-106
  7. Back Matter
    Pages 107-111

About this book

Introduction

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. Generally. this literature is not presented from the point of view of {2}-inverses. We have tried to do justice to . the relevant published works and appologize for those we have either overlooked or possibly misrepresented.

Keywords

Delphi SAS Statistica administration collaboration form knowledge matrices matrix model polynomial quadratic form statistics time university

Authors and affiliations

  • Albert J. Getson
    • 1
  • Francis C. Hsuan
    • 2
  1. 1.Merck, Sharp and Dohme Research LaboratoriesWest PointUSA
  2. 2.Department of Statistics, School of Business AdministrationTemple UniversityPhiladelphiaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-3930-7
  • Copyright Information Springer-Verlag New York 1988
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96849-0
  • Online ISBN 978-1-4612-3930-7
  • Series Print ISSN 0930-0325