ON WEAK-CONVERGENCE WITHIN A LORENZ ORDERING FAMILY OF DISTRIBUTIONS

Authors
LIN GD
Citation
Gd. Lin, ON WEAK-CONVERGENCE WITHIN A LORENZ ORDERING FAMILY OF DISTRIBUTIONS, Journal of Applied Probability, 32(4), 1995, pp. 1028-1031
Citations number
7
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
32
Issue
4
Year of publication
1995
Pages
1028 - 1031
Database
ISI
SICI code
0021-9002(1995)32:4<1028:OWWALO>2.0.ZU;2-H
Abstract
We first introduce a Lorenz ordering family of distributions which are related to the gamma distribution, and then prove that the weak conve rgence within this family is equivalent to the convergence of each mom ent sequence of positive orders to the corresponding moment of the lim iting distribution.