Invariance of relative inverse function orderings under compositions of distributions

• Autorzy: Magdalena Frąszczak , Jarosław Bartoszewicz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 62N05: Reliability and life testing
• 60E15: Inequalities; stochastic orderings
• 60E05: Distributions: general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 3
• Strony: 283-292

Daty

wydano

2012

Twórcy

autor

Magdalena Frąszczak

• Institute of Genetics, Wrocław University of Environmental and Life Sciences, 7 Kożuchowska St., 51-631 Wrocław, Poland

autor

Jarosław Bartoszewicz

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/am39-3-3