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Statistical Inference for a Novel Health Inequality Index
School of Statistics, Beijing Normal University, Beijing, China
Department of Mathematics and Statistics, University of North Carolina, Charlotte, USA
Department of Mathematics, Southern University of Science and Technology of China, Shenzhen, China
- 1 School of Statistics, Beijing Normal University, Beijing, China
- 2 Department of Mathematics and Statistics, University of North Carolina, Charlotte, USA
- 3 Department of Mathematics, Southern University of Science and Technology of China, Shenzhen, China
Theoretical Economics Letters·Volume 07 (2017)·Pages 251–262·Published 3 February 2017·DOI10.4236/tel.2017.72021
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Abstract
In this paper, we develop statistical inference for an important health inequality index proposed by Lv, Wang and Xu [1] for ordinal data. Asymptotic distributions of the indices are established. This allows us to make inference for the indices. Generalizations of the indices to multiple population setting are also studied. We demonstrate the effectiveness of our procedure using the health inequality data of several areas in Switzerland, and our results classify these areas into three classes based on their health inequalities.
KeywordsHealth Inequality IndexMultiple ComparisonSelf-Reported Health StatusStatistical Inference
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