The Least Absolute Deviation Estimation Method of Parameter in Nonlinear Regression Model and Its Feasible Direction Algorithm

被引:0
作者
Wan Yucheng [1 ]
机构
[1] Xuzhou AF Coll, Dept Air Mat Management, Xuzhou 221002, Peoples R China
来源
RECENT ADVANCE IN STATISTICS APPLICATION AND RELATED AREAS, PTS 1 AND 2 | 2011年
关键词
Nonlinear regression; Parameter estimation; Least absolute deviation estimation; Feasible direction algorithm;
D O I
暂无
中图分类号
O1 [数学]; C [社会科学总论];
学科分类号
03 ; 0303 ; 0701 ; 070101 ;
摘要
For parameter estimation methods in regression models, the least absolute deviation estimation is more robust than the least square sum estimation in many cases. However, the computation of the least absolute deviation estimation is difficult. In this paper, we reduce the nonlinear least absolute deviation estimation problem to nonlinear programming problem and design a feasible direction algorithm to solve the nonlinear least absolute deviation estimation problem. Numerical example demonstrating the efficiency of this algorithm is given.
引用
收藏
页码:1338 / 1343
页数:6
相关论文
共 17 条
  • [1] BAZARAA M. S., 1979, Nonlinear Programming: Theory and Algorithms
  • [2] OPTIMAL ESTIMATION OF EXECUTIVE COMPENSATION BY LINEAR PROGRAMMING
    Charnes, A.
    Cooper, W. W.
    Ferguson, R. O.
    [J]. MANAGEMENT SCIENCE, 1955, 1 (02) : 138 - 151
  • [3] Chen Xiru, 1981, INTRO MATH STAT
  • [4] Dielman T E, 1992, L1 STATISTICAL ANAL, P311
  • [5] Dong J., 2001, J. Chongqing Norm. Univ. (Nat. Sci. Ed.), V18, P71
  • [6] DRAPER RN, 1981, APPL REGRESSION ANAL
  • [7] Gentle J. E., 1987, Statistical Data Analysis Based on the L1-Norm and Related Methods. First International Conference, P83
  • [8] Gonin R., 1987, Statistical Data Analysis Based on the L1-Norm and Related Methods. First International Conference, P117
  • [9] Huber P., 2011, ROBUST STAT
  • [10] HUBER PJ, 1987, STATISTICAL DATA ANA, P23