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测量误差模型参数变点的非参数检验 被引量:1

Nonparametric Test for a Change-point in the Linear Structural Error-in-Variables Models
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摘要 本文讨论测量误差参数变点的检测问题,利用秩统计量,给出了模型只有一个变点的检验统计量,运用检验统计量渐近分布的性质,给出了一个计算检验渐近临界值的公式,由此我们可以较为客易计算检验的临界值。 In this paper, we discuss the hypothsis test for most one change-points in the linear structural error-in-variables model. We propose a nonparametric test by using rank statistic. Using limiting distribution of test statistic, we obtain a formula of the asymptotic critical points.
作者 王黎明
出处 《运筹与管理》 CSCD 2004年第3期67-70,共4页 Operations Research and Management Science
基金 上海市博士后基金资助项目 上海财经大学"211"工程项目资助(2115186E)
关键词 测量误差模型 变点 秩统计量 非参数检验 linear structural errors-in-variables model rank statistic nonparametric test
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参考文献5

  • 1Chang Y P, Huang W T. Inferences for the linear errors-in-variables with change-point models[J]. JASA, 1997,92(437):171-178.
  • 2Fuller W A. Measurement error model[M]. John Wiley & Sons, 1987.
  • 3Hettmansperger T P. Statistical inference based on ranks[M]. John Wiley & Sons, 1984.
  • 4Maritz J S. Distribution-free statistical method[M]. Chapman and Hall, 1981.
  • 5王黎明.测量误差模型只有一个变点的检验和估计[J].应用概率统计,2002,18(4):385-392. 被引量:10

二级参考文献9

  • 1Bhattacharya, P.K., Maximum likelihood estimation of a change-point in the distribution of independent random variable: General multiparameter case, Journal of Multivariate Analysis, 23(1987), 183-208.
  • 2Chang, Y.P. and Huang, W.T., Inferences for the linear errors-in-variables with changepoint models, JASA.92(437)(1997), 171-178.
  • 3Chen, J. and Gupta, A.K., Testing and locating variance change points with application to stock prices, JASA,92(438)(1997), 739-747.
  • 4Chen, J., Testing for a change point in linear regression models, Communications in Statist.- Theory Meth.,27(10)(1998), 2481-2493.
  • 5Csorgo, M. and Horvath, L., Limit Theorems in Change-Point Analysis, John Wiley & Sons, 1997.
  • 6Fuller, W.A., Measurement Error Model, John Wiley & Sons, 1987.
  • 7James, B., James, K.L. and Siegmund, D., Asymptotic approximations for likelihood ratio tests and confidence regions for a change-point in the mean of a multivariate normal distribution, Statistica Sinica, 2(1)(1992), 69-90.
  • 8Srivastava, M.S. and Worsley, K.J., Likelihood ratio tests for a change in the multivariate normal mean, JASA,81(393)(1986), 199-204.
  • 9Yao, Y.C., Approximating the distribution of the maximum likelihood estimate of the change-point in a sequence of independent random variable, Ann. Statist., 15(3)(1987), 1321-1328.

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