| “位置—尺度”分布族的近似构建——以收入分布函数序列为例 |
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| 引用本文： | 黄恒君.“位置—尺度”分布族的近似构建——以收入分布函数序列为例[J].统计与信息论坛,2012,27(7):8-12. |
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| 作者姓名： | 黄恒君 |
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| 作者单位： | 兰州商学院统计学院,甘肃兰州,730020 |
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| 基金项目： | 国家社会科学基金项目《中国现行社会福利保障制度下城镇贫困人口的统计研究》 |
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| 摘 要： | “位置-尺度”分布族具有数学表述的便利性和实证分析的易解释性,但从数据出发,验证“位置-尺度”分布族是否成立存在困难,因此提出“位置-尺度”分布族的近似构建,在估计分布函数统一形式的基础上,利用最小二乘法,得到位置和尺度参数的估计;以收入分布函数为例,将该构建方法用于2001-2010年中国城镇居民收入分布函数序列分布族的估计和预测,以验证中国城镇居民收入分布近似构成“位置-尺度”分布族.
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| 关 键 词： | 位置-尺度分布族 分布拟合 函数型数据 收入 |
Approximate Construction of Location-Scale Families: Illustrated by Income Distribution |
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| HUANG Heng-jun.Approximate Construction of Location-Scale Families: Illustrated by Income Distribution[J].Statistics & Information Tribune,2012,27(7):8-12. |
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| Authors: | HUANG Heng-jun |
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| Institution: | HUANG Heng-jun(Department of Statistics,Lanzhou University of Finance and Economics,Lanzhou 730020,China) |
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| Abstract: | Location-scale families have convenient mathematical properties as well as readily analytical interpretations,however,test the families through data have something difficult.This paper proposes the approximate method of location-scale families’ construction.Distribution functions were constructed uniformly and the parameters were estimated by least square method.Applications involving urban person’s income data series between 2001 and 2010 in China were included,and the distributions of these data were validated to be come from location-scale families. |
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| Keywords: | location-scale families distribution fitting functional data income |
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