An interior point algorithm for nonlinear quantile regression

被引:203
|
作者
Koenker, R
Park, BJ
机构
[1] Department of Economics, University of Illinois, Champaign
基金
美国国家科学基金会;
关键词
quantile regression; nonlinear regression; linear programming; interior point algorithms; nonlinear programming;
D O I
10.1016/0304-4076(96)84507-6
中图分类号
F [经济];
学科分类号
02 ;
摘要
A new algorithm for computing quantile regression estimates for problems in which the response function is nonlinear in parameters is described. The nonlinear I, estimation problem is a special (median) case. The algorithm is closely related to recent developments on interior point methods for solving linear programs. Performance of the algorithm on a variety of test problems including the censored linear quantile regression problem of Powell (1986) is reported.
引用
收藏
页码:265 / 283
页数:19
相关论文
共 50 条
  • [1] An Improved Interior Point Algorithm for Quantile Regression
    Zhao, Pan
    Yu, Shenghua
    [J]. IEEE ACCESS, 2020, 8 : 139647 - 139657
  • [2] An Interior Point Algorithm for Mixed Complementarity Nonlinear Problems
    Angel E. R. Gutierrez
    Sandro R. Mazorche
    José Herskovits
    Grigori Chapiro
    [J]. Journal of Optimization Theory and Applications, 2017, 175 : 432 - 449
  • [3] A INTERIOR POINT ALGORITHM FOR CONVEX NONLINEAR PROGRAMMING PROBLEMS
    王宇
    冯果枕
    刘停战
    [J]. Numerical Mathematics(Theory,Methods and Applications), 1992, (01) : 1 - 8
  • [4] An Interior-Point Algorithm for Nonconvex Nonlinear Programming
    Robert J. Vanderbei
    David F. Shanno
    [J]. Computational Optimization and Applications, 1999, 13 : 231 - 252
  • [5] Interior point algorithm for P* nonlinear complementarity problems
    Kim, Min-Kyung
    Cho, Gyeong-Mi
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (13) : 3751 - 3759
  • [6] An interior-point algorithm for nonconvex nonlinear programming
    Vanderbei, RJ
    Shanno, DF
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 1999, 13 (1-3) : 231 - 252
  • [7] An Interior-Point Algorithm for Nonlinear Minimax Problems
    Obasanjo, E.
    Tzallas-Regas, G.
    Rustem, B.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 144 (02) : 291 - 318
  • [8] An Interior-Point Algorithm for Nonlinear Minimax Problems
    E. Obasanjo
    G. Tzallas-Regas
    B. Rustem
    [J]. Journal of Optimization Theory and Applications, 2010, 144 : 291 - 318
  • [9] An interior proximal point algorithm for nonlinear complementarity problems
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) : 371 - 380
  • [10] An Interior Point Algorithm for Mixed Complementarity Nonlinear Problems
    Gutierrez, Angel E. R.
    Mazorche, Sandro R.
    Herskovits, Jose
    Chapiro, Grigori
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 175 (02) : 432 - 449