Geodesic
Invariance of relative inverse function orderings under compositions of distributions
Magdalena Frąszczak 1   ; Jarosław Bartoszewicz 2
1 Institute of Genetics Wrocław University of Environmental and Life Sciences 7 Kożuchowska St. 51-631 Wrocław, Poland
2 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Applicationes Mathematicae, Tome 39 (2012) no. 3, pp. 283-292 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Bartoszewicz and Benduch (2009) applied an idea of Lehmann and Rojo (1992) to a new setting and used the GTTT transform to define invariance properties and distances of some stochastic orders. In this paper Lehmann and Rojo's idea is applied to the class of models which is based on distributions which are compositions of distribution functions on $[0,1]$ with underlying distributions. Some stochastic orders are invariant with respect to these models.
DOI : 10.4064/am39-3-3
Keywords: bartoszewicz benduch applied idea lehmann rojo setting gttt transform define invariance properties distances stochastic orders paper lehmann rojos idea applied class models which based distributions which compositions distribution functions underlying distributions stochastic orders invariant respect these models

Magdalena Frąszczak  1   ; Jarosław Bartoszewicz  2

1 Institute of Genetics Wrocław University of Environmental and Life Sciences 7 Kożuchowska St. 51-631 Wrocław, Poland
2 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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     title = {Invariance of relative inverse function orderings under compositions of distributions},
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Magdalena Frąszczak; Jarosław Bartoszewicz. Invariance of relative inverse function orderings under compositions of distributions. Applicationes Mathematicae, Tome 39 (2012) no. 3, pp. 283-292. doi: 10.4064/am39-3-3

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