Asymptotic inference in poverty indices: an empirical processes approach. Issue 12 (18th June 2017)

• Record Type: Journal Article
• Authors: Seck, Cheikh Tidiane; Ngatchou-Wandji, Joseph; Lô, Gane Samb
• Is Part Of: Communications in statistics. Volume 46:Issue 12(2017)
• Page Start: 6192
• Page End: 6212
• Publication Date: 2017-06-18
• Subjects: Contiguity -- empirical processes -- local power -- poverty indices -- Wald test -- weak convergence.; 60F12 -- 62G10 -- 62G20 -- 62G30 -- 62P20; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2015.1122060
• Languages: English
• ISSNs: 0361-0926

Abstract

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.