A note on generalized inverses

Motivated by too restrictive or even incorrect statements about generalized inverses in the literature, properties about these functions are investigated and proven. Examples and counterexamples show the importance of generalized inverses in mathematical theory and its applications.

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Vydáno v:Mathematical methods of operations research (Heidelberg, Germany) Ročník 77; číslo 3; s. 423 - 432
Hlavní autoři: Embrechts, Paul, Hofert, Marius
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2013
Springer
Springer Nature B.V
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ISSN:1432-2994, 1432-5217
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Abstract Motivated by too restrictive or even incorrect statements about generalized inverses in the literature, properties about these functions are investigated and proven. Examples and counterexamples show the importance of generalized inverses in mathematical theory and its applications.
AbstractList Motivated by too restrictive or even incorrect statements about generalized inverses in the literature, properties about these functions are investigated and proven. Examples and counterexamples show the importance of generalized inverses in mathematical theory and its applications.
Motivated by too restrictive or even incorrect statements about generalized inverses in the literature, properties about these functions are investigated and proven. Examples and counterexamples show the importance of generalized inverses in mathematical theory and its applications.[PUBLICATION ABSTRACT]
Author Embrechts, Paul
Hofert, Marius
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  fullname: Embrechts, Paul
  organization: Swiss Finance Institute, ETH Zurich
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  givenname: Marius
  surname: Hofert
  fullname: Hofert, Marius
  email: marius.hofert@math.ethz.ch
  organization: RiskLab, Department of Mathematics, ETH Zurich
BackLink http://www.econis.eu/PPNSET?PPN=756520401$$DView this record in ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften
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Issue 3
Keywords Increasing function
Distribution function
26A48
Generalized inverse
62E15
Quantile function
60E05
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SubjectTerms Business and Management
Calculus of Variations and Optimal Control; Optimization
Inverse problems
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations research
Operations Research/Decision Theory
Original Article
Random variables
Studies
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