Lorenz ordering of power-function order statistcs
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
Cite as
Wilfling, B. (1996). Lorenz ordering of power-function order statistcs. Statistics & Probability Letters, 30, 313–319.Details
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