Test for parameter change in diffusion processes by CUSUM statistics based on one-step estimators
From MaRDI portal
Publication:2502150
DOI10.1007/s10463-006-0037-9zbMath1095.62100OpenAlexW2147419618MaRDI QIDQ2502150
Yoichi Nishiyama, Sangyeol Lee, Nakahiro Yoshida
Publication date: 12 September 2006
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10463-006-0037-9
diffusion processBrownian bridgeWeak convergenceCUSUM testone-step estimatorTest for parameter change
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Markov processes: hypothesis testing (62M02)
Related Items
Parameter change test for autoregressive conditional duration models, Recent progress in parameter change test for integer-valued time series models, A note on approximating distribution functions of cusum and cusumsq tests, Adaptive tests for parameter changes in ergodic diffusion processes from discrete observations, Test for tail index change in stationary time series with Pareto-type marginal distribution, A change detection procedure for an ergodic diffusion process, Asymptotically distribution free test for parameter change in a diffusion process model, Test for parameter change in discretely observed diffusion processes, Strong approximations and sequential change-point analysis for diffusion processes, Test for autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Lévy processes, Least Squares Volatility Change Point Estimation for Partially Observed Diffusion Processes, Nonparametric estimation and testing time-homogeneity for processes with independent incre\-ments, Change point testing for the drift parameters of a periodic mean reversion process, Estimation and prediction of a non-constant volatility, Monitoring parameter change in time series models, Monitoring Distributional Changes in Autoregressive Models, Estimation for the change point of volatility in a stochastic differential equation, Estimation of change point for switching fractional diffusion processes, Estimation of Drift Parameter and Change Point for Switching Fractional Diffusion Processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On polynomial mixing bounds for stochastic differential equations
- Statistical inference for ergodic diffusion processes.
- Test for parameter change in stochastic processes based on conditional least-squares estimator
- Weak convergence of the sequential empirical processes of residuals in ARMA models
- Cusum Test for Parameter Change Based on the Maximum Likelihood Estimator
- A test for a change in a parameter occurring at an unknown point
- Testing and estimating change-points in time series
- Bounds for the Mixing Rate in the Theory of Stochastic Equations
- Testing for the Constancy of Parameters Over Time
- Use of Cumulative Sums of Squares for Retrospective Detection of Changes of Variance
- The Cusum of Squares Test for Scale Changes in Infinite Order Moving Average Processes
- The Cusum Test for Parameter Change in Time Series Models
- Inference about the change-point from cumulative sum tests