A note on asymptotic normality of kernel estimation for linear random fields on Z 2

Tsung Lin Cheng, Hwai Chung Ho, Xuewen Lu

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This note considers the kernel estimation of a linear random field on Z 2. Instead of imposing certain mixing conditions on the random fields, it is assumed that the weights of the innovations satisfy a summability property. By building a martingale decomposition based on a suitable filtration, asymptotic normality is proven for the kernel estimator of the marginal density of the random field.

Original languageEnglish
Pages (from-to)267-286
Number of pages20
JournalJournal of Theoretical Probability
Issue number2
Publication statusPublished - 2008 Jun 1


All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

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