Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models

Aiting Shen

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

We present the Bernstein-type inequality for widely dependent random variables. By using the Bernstein-type inequality and the truncated method, we further study the strong consistency of estimator of fixed design regression model under widely dependent random variables, which generalizes the corresponding one of independent random variables. As an application, the strong consistency for the nearest neighbor estimator is obtained.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:862602

DOI: 10.1155/2013/862602

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