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What is Learnable in Valiant's Theory of the Learnable? 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Variable selection for longitudinal survey data
Laura Dumitrescu, Wei Qian, J. N. K. Rao · 2021-05-03 · via math.ST updates on arXiv.org

In this article we propose a new variable selection method for analyzing data collected from longitudinal sample surveys. The procedure is based on the survey-weighted quadratic inference function, which was recently introduced as an alternative to the survey-weighted generalized estimating function. Under the joint model-design framework, we introduce the penalized survey-weighted quadratic inference estimator and obtain sufficient conditions for the existence, weak consistency, sparsity and asymptotic normality. To illustrate the finite sample performance of the model selection procedure, we include a limited simulation study.

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