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A Nonparametric Test of $m$th-degree Inverse Stochastic Dominance

Hongyi Jiang, Zhenting Sun, Shiyun Hu

arXiv 21 Jun 2023 · Econometrics · publishedEconomics Letters (2024)

arXiv:2306.12271 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper proposes a nonparametric test for $m$th-degree inverse stochastic dominance which is a powerful tool for ranking distribution functions according to social welfare. We construct the test based on empirical process theory. The test is shown to be asymptotically size controlled and consistent. The good finite sample properties of the test are illustrated via Monte Carlo simulations. We apply our test to the inequality growth in the United Kingdom from 1995 to 2010.

Citation extraction

44
references
120
in-text mentions
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distinct cited
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self-citations
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Sun, Z. and Beare, B. K (2021) Improved nonparametric bootstrap tests of Lorenz dominance self1.000235100%
2Aaberge, R., Havnes, T., and Mogstad, M (2021) Ranking intersecting distribution functions1.000173100%
3Fang, Z. and Santos, A (2019) Inference on directionally differentiable functions1.000173100%
4Barrett, G. F., Donald, S. G., and Bhattacharya, D (2014) Consistent nonparametric tests for Lorenz dominance1.00093100%
5Kaji, T (2019) Asymptotic theory of $L$-statistics and integrable empirical processes1.00053100%
6Kosorok, M. R (2008) Introduction to Empirical Processes and Semiparametric Inference0.73732100%
7van der Vaart, A. W. and Wellner, J. A (1996) Weak Convergence and Empirical Processes0.64422100%
8Sun, Z (2023) Instrument validity for heterogeneous causal effects self0.58531100%
9Beare, B. K. and Shi, X (2019) An improved bootstrap test of density ratio ordering0.51121100%
10Davidson, R. and Duclos, J.-Y (2000) Statistical inference for stochastic dominance and for the measurement of poverty and inequality0.51121100%

Showing the top 10 of 44 scored citations.