کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5096999 1376563 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Edgeworth expansions and normalizing transforms for inequality measures
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Edgeworth expansions and normalizing transforms for inequality measures
چکیده انگلیسی
Finite sample distributions of studentized inequality measures differ substantially from their asymptotic normal distribution in terms of location and skewness. We study these aspects formally by deriving the second-order expansion of the first and third cumulant of the studentized inequality measure. We state distribution-free expressions for the bias and skewness coefficients. In the second part we improve over first-order theory by deriving Edgeworth expansions and normalizing transforms. These normalizing transforms are designed to eliminate the second-order term in the distributional expansion of the studentized transform and converge to the Gaussian limit at rate O(n−1). This leads to improved confidence intervals and applying a subsequent bootstrap leads to a further improvement to order O(n−3/2). We illustrate our procedure with an application to regional inequality measurement in Côte d'Ivoire.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Econometrics - Volume 150, Issue 1, May 2009, Pages 16-29
نویسندگان
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