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Statistical Inferences for Testing Marginal Rank and (Generalized) Lorenz Dominances
Author(s) -
Zheng Buhong
Publication year - 1999
Publication title -
southern economic journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.762
H-Index - 58
eISSN - 2325-8012
pISSN - 0038-4038
DOI - 10.1002/j.2325-8012.1999.tb00176.x
Subject(s) - marginal distribution , lorenz curve , mathematics , rank (graph theory) , covariance , econometrics , statistics , dominance (genetics) , statistical hypothesis testing , gini coefficient , inequality , combinatorics , economic inequality , mathematical analysis , biochemistry , chemistry , random variable , gene
This paper provides distribution‐free inferences for testing marginal rank dominance and Lorenz, and generalized Lorenz dominances. Marginal dominances refer to ordinary dominance relationships holding between an income distribution and its dependent after‐event distribution. Using the elegant Bahadur representation, I establish the asymptotic normal distributions of sample marginal changes and derive the variance–covariance structures. I also show that the inference procedures can be modified and applied to more general cases where samples are (partially) dependent. The approaches are illustrated by re‐evaluating the marginal impacts of working wives on the U.S. family income distribution using 1990 census data.