Asymptotics for functionals of self-normalized residuals of discretely observed stochastic processes

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

抄録

The purpose of this paper is to derive the stochastic expansion of self-normalized-residual functionals stemming from a class of diffusion type processes observed at high frequency, where total observing period may or may not tend to infinity. The result enables us to construct some explicit statistics for goodness of fit tests, consistent against "presence of a jump component" and "diffusion-coefficient misspecification"; then, the acceptance of the null hypothesis may serve as a collateral evidence for using the correctly specified diffusion type model. Especially, our asymptotic result clarifies how to remove the bias caused by plugging in a diffusion-coefficient estimator.

本文言語英語
ページ(範囲)2752-2778
ページ数27
ジャーナルStochastic Processes and their Applications
123
7
DOI
出版ステータス出版済み - 2013

All Science Journal Classification (ASJC) codes

  • 統計学および確率
  • モデリングとシミュレーション
  • 応用数学

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