Asymptotic inference in poverty indices: an empirical processes approach

Cheikh Tidiane Seck, Joseph Ngatchou-Wandji and Gane Samb Lô

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 12, 6192-6212

Abstract: We derive an empirical poverty index containing most of those proposed in the literature. Then, we study its asymptotic behavior by using empirical processes theory. From the results obtained, we derive a Wald-type test for comparing a vector of theoretical poverty indices to a vector of reference indices. We study the test statistic under the null hypothesis of equality, fixed alternatives, and a sequence of local alternatives. A simulation experiment conducted shows that our test performs well for exponential and Pareto data.

Date: 2017
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DOI: 10.1080/03610926.2015.1122060

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