Asymptotically distribution free test for parameter change in a diffusion process model

DOI10.1007/s10463-011-0345-6zbMath1254.62089OpenAlexW2078221770MaRDI QIDQ1926009

Ilia Negri, Yoichi Nishiyama

Publication date: 27 December 2012

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10446/746

zbMATH Keywords

martingaleschange point problemconsistent test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Markov processes: hypothesis testing (62M02)

Related Items

Adaptive tests for parameter changes in ergodic diffusion processes from discrete observations ⋮ On score-functions and goodness-of-fit tests for stochastic processes ⋮ \(Z\)-process method for change point problems with applications to discretely observed diffusion processes ⋮ A change detection procedure for an ergodic diffusion process ⋮ On \(L^2\) space approach to change point problems ⋮ Change point testing for the drift parameters of a periodic mean reversion process ⋮ Robust test for dispersion parameter change in discretely observed diffusion processes

Cites Work

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• Goodness of fit test for ergodic diffusion processes
• Asymptotic theory of semiparametric \(Z\)-estimators for stochastic processes with applications to ergodic diffusions and time series
• Statistical inference for ergodic diffusion processes.
• Weak convergence and empirical processes. With applications to statistics
• A maximal inequality for continuous martingales and \(M\)-estimation in a Gaussian white noise model
• Test for parameter change in diffusion processes by CUSUM statistics based on one-step estimators
• Donsker theorems for diffusions: necessary and sufficient conditions
• Testing for change points in time series models and limiting theorems for NED sequences
• A test for a change in a parameter occurring at an unknown point
• Tests of the Hypothesis that a Linear Regression System Obeys Two Separate Regimes
• Testing and estimating change-points in time series
• Testing for a change point in linear regression models
• ON CHANGE POINT DETECTION AND ESTIMATION
• Inference about the intersection in two-phase regression
• Inference about the change-point in a sequence of random variables