Local Influence Analysis of Generalized Linear Model ()
Shuling Wang,
Man Liu,
Qianqian Zhu,
Ting Wang
Basic Courses Department, Xuzhou Air Force College, Xuzhou, China.
Basic Courses Department, Xuzhou Air Force College, Xuzhou, Jiangsu, China.
DOI: 10.4236/am.2012.39156
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Abstract
Nearly thirty years, the diagnosis and influence analysis of linear regression model has been fully developed. So far the local influence analysis of the generalized linear model has not yet seen in the literature. In this paper, local influence is discussed. Then, concise influence matrix is obtained. At last, an example is given to illustrate our results.
Share and Cite:
S. Wang, M. Liu, Q. Zhu and T. Wang, "Local Influence Analysis of Generalized Linear Model,"
Applied Mathematics, Vol. 3 No. 9, 2012, pp. 1065-1067. doi:
10.4236/am.2012.39156.
Conflicts of Interest
The authors declare no conflicts of interest.
References
|
[1]
|
R. D. Cook, “Assessment of Local Influence (with Discussion),” Journal of the Royal Statistical Society (Series B), Vol. 48, 1986, pp. 133-169.
|
|
[2]
|
R. D. Cook and S. Weisberg, “Residuals and Influence in Regression,” Chapman and Hall, New York, 1982.
|
|
[3]
|
B. C. Wei, G. B. Lu and J. Q. Shi, “Statistical Diagnostics,” Publishing House of Southeast University, Nanjing, 1990.
|
|
[4]
|
Y. Zhou, “Diagnostic and Numerical Example Analysis for Generalized Linear Model,” Journal of Sichuan University (Natural Science Edition), Vol. 44, 2007, pp. 1163-1168.
|
|
[5]
|
L. A. Escobar and W. Q. Meeker, “Assessing Influence in Regression Analysis with Censored Data,” Biometrics, Vol. 48, No. 2, 1992, pp. 507-528.
HUdoi:10.2307/2532306U
|
|
[6]
|
X. M. Wang and X. L. Han, “The Course of S-plus Applied Statistics,” Publishing House of Shanghai University of Finance and Economics, Shanghai, 2005.
|