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Empirical Likelihood Inference for Partial Functional Linear Regression Models Based on B-spline | Yuan | International Journal of Statistics and Probability | CCSE

DOI: 10.5539/ijsp.v8n1p135

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Abstract:

In this paper, we apply empirical likelihood method to infer for the regression parameters in the partial functional linear regression models based on B-spline. We prove that the empirical log-likelihood ratio for the regression parameters converges in law to a weighted sum of independent chi-square distributions. Our simulation shows that the proposed empirical likelihood method produces more accurate confidence regions in terms of coverage probability than the asymptotic normality method

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