Statistical inference of covariance change points in gaussian model

In this paper, we study the testing and estimation of multiple covariance change points for a sequence of m-dimensional (m > 1) Gaussian random vectors by using the Schwarz information criterion (SIC). The unbiased SIC is also obtained. The asymptotic null distribution of the test statistic is derived. The result is applied to a simulated bivariate normal vector sequence (m = 2), and changes are successfully detected.

[1]  Jie Chen,et al.  Likelihood procedure for testing change point hypothesis for multivariate Gaussian model , 1995 .

[2]  Anja Vogler,et al.  An Introduction to Multivariate Statistical Analysis , 2004 .

[3]  Arjun K. Gupta,et al.  Parametric Statistical Change Point Analysis , 2000 .

[4]  Arjun K. Gupta,et al.  ON CHANGE POINT DETECTION AND ESTIMATION , 2001 .

[5]  Jen Tang,et al.  Distribution of likelihood ratio statistic for testing equality of covariance matrices of multivariate Gaussian models , 1984 .

[6]  Detecting changes of mean in multidimensional normal sequences with applications to literature and geology , 1996 .

[7]  Muni S. Srivastava,et al.  ON TESTS FOR DETECTING CHANGE IN THE MULTIVARIATE MEAN , 1981 .

[8]  I. Vlachonikolis,et al.  On a class of change-point models in covariance structures for growth curves and repeated measurements , 1994 .

[9]  N. Sugiura.  Further analysts of the data by akaike' s information criterion and the finite corrections , 1978 .

[10]  Local Likelihood Method in the Problems Related to Change Points. , 1987 .

[11]  M. Srivastava,et al.  Likelihood Ratio Tests for a Change in the Multivariate Normal Mean , 1986 .

[12]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[13]  C. O'Connor.  An introduction to multivariate statistical analysis: 2nd edn. by T. W. Anderson. 675 pp. Wiley, New York (1984) , 1987 .

[14]  David B. Wolfson,et al.  Maximum likelihood estimation in the multi-path change-point problem , 1993 .

[15]  Arjun K. Gupta,et al.  Testing and Locating Variance Changepoints with Application to Stock Prices , 1997 .

[16]  Doyle L. Hawkins,et al.  Detecting shifts in functions of multivariate location and covariance parameters , 1992 .

[17]  Arjun K. Gupta,et al.  Elliptically contoured models in statistics , 1993 .