Lorenz ordering of power-function order statistcs

Wilfling Bernd


Abstract
Based on Lorenz comparisons of two random variables from the four-parameter generalized beta distribution of the first kind, Lorenz-order relationships among order statistics from different power-function samples with varying sizes are obtained.

Keywords
Lorenz order; (fractional) order statistics; generalized beta distribution of the first kind; power-function distribution; sample medians



Publication type
Research article (journal)

Peer reviewed
Yes

Publication status
Published

Year
1996

Journal
Statistics & Probability Letters

Volume
30

Start page
313

End page
319

Language
English