Z-process method for change point problems with applications to discretely observed diffusion processes

Ilia Negri, Yoichi Nishiyama

研究成果: Article査読

5 被引用数 (Scopus)

抄録

The aim of this paper is to develop a general, unified approach, based on some partial estimation functions which we call “Z-process”, to some change point problems in mathematical statistics. The method proposed can be applied not only to ergodic models but also to some models where the Fisher information matrix is random. Applications to some concrete models, including a parametric model for volatilities of diffusion processes are presented. Simulations for randomly time-transformed Brownian bridge process appearing as the limit of the proposed test statistics are performed with computer intensive use.

本文言語English
ページ(範囲)1-20
ページ数20
ジャーナルStatistical Methods and Applications
DOI
出版ステータスAccepted/In press - 2016 8 27

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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