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| 三类四舍五入数据的点估计问题 | |
| 引用本文： | 张东丽,王莘,梁波.三类四舍五入数据的点估计问题[J].天津师范大学学报(自然科学版),2011,31(3):10-12. |
| 作者姓名： | 张东丽 王莘 梁波 |
| 作者单位： | 1. 天津师范大学 数学科学学院,天津,300387 2. 天津外国语大学 基础课教学部,天津,300204 3. 大连交通大学 数理系,辽宁 大连,116028 |
| 摘 要： | 首先考虑源于正态分布的样本,在四舍五入后不再服从正态分布,根据四舍五入后的数据构造似然函数,对原正态总体的参数进行估计.然后分别考虑源于AR(1)和MA(1)的四舍五入数据,构造修正的似然函数,对模型参数进行估计. |
| 关 键 词： | 四舍五入 一阶自回归 一阶滑动平均 最大似然 |
Point estimation problems of three kinds of rounded data |
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| ZHANG Dongli,WANG Shen,LIANG Bo.Point estimation problems of three kinds of rounded data[J].Journal of Tianjin Normal University(Natural Science Edition),2011,31(3):10-12. | |
| Authors: | ZHANG Dongli WANG Shen LIANG Bo |
| Institution: | ZHANG Dongli1,WANG Shen2,LIANG Bo31.College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China,2.Department of Basic Courses,Tianjin Foreign Studies University,Tianjin 300204,3.Department of Mathematics and Physics,Dalian Jiaotong University,Dalian 116028,Liaoning Province |
| Abstract: | If a sample is from a normal distribution,then after rounded,it does not follow the normal distribution.Based on the rounded data,the likelihood function is built to estimate the parameters of the normal distribution.The rounded data from AR(1) and MA(1) are studied,and the modified likelihood functions are built to estimate the parameters of the two models. |
| Keywords: | round AR(1) MA(1) maximum likelihood |
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