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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Vydané v:Mathematical methods of operations research (Heidelberg, Germany) Ročník 77; číslo 3; s. 423 - 432
Hlavní autori: Embrechts, Paul, Hofert, Marius
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2013
Springer
Springer Nature B.V
Predmet:
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
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Popis
Shrnutí: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