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Social and Behavioral Sciences Commons

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Economics

2013

Empirical likelihood

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Full-Text Articles in Social and Behavioral Sciences

Shrinkage Empirical Likelihood Estimator In Longitudinal Analysis With Time-Dependent Covariates: Application To Modeling The Health Of Filipino Children, Denis H. Y. Leung, Dylan S. Small, Jing Qin, Min Zhu Sep 2013

Shrinkage Empirical Likelihood Estimator In Longitudinal Analysis With Time-Dependent Covariates: Application To Modeling The Health Of Filipino Children, Denis H. Y. Leung, Dylan S. Small, Jing Qin, Min Zhu

Research Collection School Of Economics

The method of generalized estimating equations (GEE) is a popular tool for analysing longitudinal (panel) data. Often, the covariates collected are time-dependent in nature, for example, age, relapse status, monthly income. When using GEE to analyse longitudinal data with time-dependent covariates, crucial assumptions about the covariates are necessary for valid inferences to be drawn. When those assumptions do not hold or cannot be verified, Pepe and Anderson (1994, Communications in Statistics, Simulations and Computation 23, 939–951) advocated using an independence working correlation assumption in the GEE model as a robust approach. However, using GEE with the independence correlation assumption may …


Testing Conditional Independence Via Empirical Likelihood, Liangjun Su, Halbert White Jan 2013

Testing Conditional Independence Via Empirical Likelihood, Liangjun Su, Halbert White

Research Collection School Of Economics

We construct two classes of smoothed empirical likelihood ratio tests for the conditional independence hypothesis by writing the null hypothesis as an infinite collection of conditional moment restrictions indexed by a nuisance parameter. One class is based on the CDF; another is based on smoother functions. We show that the test statistics are asymptotically normal under the null hypothesis and a sequence of Pitman local alternatives. We also show that the tests possess an asymptotic optimality property in terms of average power. Simulations suggest that the tests are well behaved in finite samples. Applications to some economic and financial time …