A note on moment convergence of bootstrap M-estimators

作者: Kengo Kato

DOI: 10.1524/STND.2011.1078

关键词: Moment (mathematics)Consistency (statistics)Convergence (routing)Variance (accounting)M-estimatorEconometricsQuantile regressionUniform integrabilityEstimatorMathematics

摘要: This paper studies the consistency of bootstrap moment estimators for a general M-estimator. We establish theorem on uniform integrability M-estimator, thereby giving sufficient conditions estimators. As an application our theorem, we provide variance estimator quantile regression estimator, which has been considered as important unsolved problem in literature. also discuss justification information criterion.

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