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The chi-square statistic as an income inequality index | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 31 اردیبهشت 1403 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22945.1205 | ||
| نویسندگان | ||
| Shahryar Mirzaei* 1؛ Seyed Mahdi Amir Jahanshahi2 | ||
| 1Department of Statistics, Payame Noor University, Tehran, Iran | ||
| 2Department of Statistics, Sistan and Baluchestan University, Zahedan, Iran | ||
| چکیده | ||
| This article presents a novel concept known as the chi-square inequality index, developed through the utilization of the chi-square distance function. The study delves into the essential characteristics necessary for an effective inequality index. Additionally, a detailed formulation for the chi-square inequality curve is provided within key inequality models. A comparative analysis between the chi-square curve and the conventional Lorenz curve is conducted. Furthermore, a stochastic order based on the chi-square inequality curve is introduced. The research includes a simulation analysis to explore the statistical properties of the proposed sampling estimator. To conclude, the article highlights the effectiveness of this index through an application to real-world data. | ||
| کلیدواژه‌ها | ||
| Chi-square index؛ Income inequalty index؛ Lorenz curve | ||
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آمار تعداد مشاهده مقاله: 112 |
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