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。
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.
出处
《统计与信息论坛》
CSSCI
2012年第7期8-12,共5页
Journal of Statistics and Information
基金
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>(11BTJ002)