• 论文 • 上一篇    下一篇

一类线性模型中参数的平衡LS估计的性质

柏超   

  1. 中南林业科技大学理学院, 长沙 410004
  • 收稿日期:2010-05-11 出版日期:2011-07-25 发布日期:2011-09-27

柏超. 一类线性模型中参数的平衡LS估计的性质[J]. 系统科学与数学, 2011, 31(7): 817-823.

BAI Chao. CONSTRUCTION OF GLOBAL WEAK ENTROPY SOLUTION  OF INITIAL-BOUNDARY VALUE PROBLEM FOR  NONCONVEX  SCALAR   CONSERVATION LAWS[J]. Journal of Systems Science and Mathematical Sciences, 2011, 31(7): 817-823.

CONSTRUCTION OF GLOBAL WEAK ENTROPY SOLUTION  OF INITIAL-BOUNDARY VALUE PROBLEM FOR  NONCONVEX  SCALAR   CONSERVATION LAWS

BAI Chao   

  1. Department of Mathematics, Jinan University, Guangzhou  510632
  • Received:2010-05-11 Online:2011-07-25 Published:2011-09-27
对于线性回归模型中平衡LS估计这一类含参数$t$和参数矩阵$L$的估计, 进一步讨论了$t$和$L$的取值对平衡LS估计优良性的影响, 得到了平衡LS估计在某些准则
下优于OLS估计的条件.
This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and
constant boundary data. Under the condition that the flux function has one inflection point, by the structure of weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos-Leroux-Nedelec, we give a construction method for the global weak entropy solution of the initial-boundary value problem and clarify the solution structure nearby the boundary. In contrast to the initial-boundary value problem for strictly convex
scalar conservation laws, the weak entropy solution of the initial-boundary value problem for nonconvex scalar conservation laws includes the following new interaction type: a contact or non-contact shock collides with the boundary and a new non-contact shock wave rebounds from the boundary.

MR(2010)主题分类: 

()
[1] 杨徐佳,魏传华,齐飞. 约束线性测量误差模型的统计推断[J]. 系统科学与数学, 2013, 33(2): 171-178.
[2] 柏超. 两类线性模型回归系数的平衡LS估计及性质[J]. 系统科学与数学, 2013, 33(11): 1263-1271.
[3] 刘应安;韦博成. 具有双线性BL(1,1,1,1)误差的非线性回归模型相关性和方差齐性的检验[J]. 系统科学与数学, 2005, 25(3): 366-377.
[4] 金明仲. 简单线性模型中回归系数相合估计存在性问题的一点注记[J]. 系统科学与数学, 1997, 17(1): 92-096.
[5] 王正明. 关于线性回归模型的有偏估计[J]. 系统科学与数学, 1995, 15(4): 319-328.
阅读次数
全文


摘要