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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Bibliographic Details
Published in:Mathematical methods of operations research (Heidelberg, Germany) Vol. 77; no. 3; pp. 423 - 432
Main Authors: Embrechts, Paul, Hofert, Marius
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2013
Springer
Springer Nature B.V
Subjects:
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
Increasing function
Distribution function
26A48
Generalized inverse
62E15
Quantile function
60E05
ISSN:1432-2994, 1432-5217
Online Access:Get full text
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Description
Summary: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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ISSN:1432-2994
1432-5217
DOI:10.1007/s00186-013-0436-7