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Empirical Likelihood for Linear Structural Equation Models with\n Dependent Errors

2017/10/06 by Y. Samuel Wang, Mathias Drton, Wang, Y. Samuel +1
Computer Science · #Bayesian Modeling and Causal Inference #Computation (stat.CO) #FOS: Computer and information sciences

paper · pdf · doi:10.48550/arxiv.1710.02588

openalex publication_date 2017/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider linear structural equation models that are associated with mixed\ngraphs. The structural equations in these models only involve observed\nvariables, but their idiosyncratic error terms are allowed to be correlated and\nnon-Gaussian. We propose empirical likelihood (EL) procedures for inference,\nand suggest several modifications, including a profile likelihood, in order to\nimprove tractability and performance of the resulting methods. Through\nsimulations, we show that when the error distributions are non-Gaussian, the\nuse of EL and the proposed modifications may increase statistical efficiency\nand improve assessment of significance.\n

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