A sufficient condition for Lorenz ordering
Wilfling Bernd
Abstract
This paper presents a sufficient condition for the Lorenz order of two random variables which is often easy to verify in practice. As an application, the parameter space of the generalized gamma distribution which includes the simple gamma and the Weibull distribution as special cases can be characterized completely in terms of Lorenz ordering.
Keywords
Lorenz curves; Lorenz order; star shaped order; convex order; density crossing; generalized gamma distribution
Publication type
Research article (journal)
Peer reviewed
Yes
Publication status
Published
Year
1996
Journal
Sankhya: The Indian Journal of Statistics
Volume
B58
Start page
62
End page
69
Language
English
ISSN
0972-7671