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Abstract
New test statistics for weakly Lorenz dominance and weakly generalised Lorenz dominance are proposed, and some asymptotic properties of test statistics are obtained. The simulation results show that our test statistics can improve test power in comparison with the non-smoothed empirical methods. Finally, we apply our inference framework to an actual example.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported by the National Nature Science Foundation of China (Nos. 71971204, 71871208, 11701518), and the Anhui Provincial Natural Science Foundation for Distinguished Young Scholar (2208085J43).