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Abstract:
A partially linear model with longitudinal data is considered, empirical likelihood to inference for the regression coefficients and the baseline function is investigated, the empirical log-likelihood ratios is proven to be asymptotically chi-squared, and the corresponding confidence regions for the parameters of interest are then constructed. Also by the empirical likelihood ratio functions, we can obtain the maximum empirical likelihood estimates of the regression coefficients and the baseline function, and prove the asymptotic normality. The numerical results are conducted to compare the performance of the empirical likelihood and the normal approximation-based method, and a real example is analysed.
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SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN: 1006-9283
Year: 2008
Issue: 1
Volume: 51
Page: 115-130
JCR Journal Grade:4
Cited Count:
WoS CC Cited Count: 19
SCOPUS Cited Count: 21
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 12
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