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具有AR(1)误差的均值漂移模型的Score检验和似然比检验
引用本文:柳庆新,夏乐天,王建锋.具有AR(1)误差的均值漂移模型的Score检验和似然比检验[J].数学的实践与认识,2009,39(2).
作者姓名:柳庆新  夏乐天  王建锋
作者单位:河海大学,理学院,江苏,南京,210098
摘    要:讨论了具有AR(1)误差的线性均值漂移模型,研究了自相关性的检验问题,导出了关于误差相关性的Score检验统计量和似然比检验统计量,并把它推广到误差项为AR(1)非线性均值漂移模型.本文还给出了一个数值例子说明检验方法的实用性.

关 键 词:均值漂移模型  AR(1)误差  Score检验  似然比检验

Correlation Test for Mean-shift Model with AR(1) Errors
LIU Qing-xin,XIA Le-tian,WANG Jian-feng.Correlation Test for Mean-shift Model with AR(1) Errors[J].Mathematics in Practice and Theory,2009,39(2).
Authors:LIU Qing-xin  XIA Le-tian  WANG Jian-feng
Abstract:This article discusses the linear mean-shift model with AR(1) errors,studying the autocorrelation test,bring about the Score test statistics and likelihood ratio test statistics regarding the error correlation.Further,the results are extended to the nonlinear mean-shift models with error AR(1).We also give a numerical example to illustrate the practicability of the test methods.
Keywords:Mean-shift model  AR(1) error  score test  likelihood ratio test
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