Test for parameter change in discretely observed diffusion processes

DOI10.1007/s11203-008-9033-4zbMath1205.62116OpenAlexW2097861291MaRDI QIDQ625303

Junmo Song, Sangyeol Lee

Publication date: 15 February 2011

Published in: Statistical Inference for Stochastic Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11203-008-9033-4

zbMATH Keywords

weak convergenceBrownian bridgeergodic diffusion processtest for parameter changecusum testdiscretely observed process

Mathematics Subject Classification ID

Diffusion processes (60J60) Markov processes: hypothesis testing (62M02)

Related Items

Adaptive tests for parameter changes in ergodic diffusion processes from discrete observations ⋮ \(Z\)-process method for change point problems with applications to discretely observed diffusion processes ⋮ A change detection procedure for an ergodic diffusion process ⋮ Strong approximations and sequential change-point analysis for diffusion processes ⋮ Change point inference in ergodic diffusion processes based on high frequency data ⋮ Test for autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Lévy processes ⋮ Robust test for dispersion parameter change in discretely observed diffusion processes ⋮ 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

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• Estimation for diffusion processes from discrete observation
• On the estimation of the diffusion coefficient for multi-dimensional diffusion processes
• Estimating equations based on eigenfunctions for a discretely observed diffusion process
• Statistical inference for ergodic diffusion processes.
• Dependent central limit theorems and invariance principles
• Test for parameter change in diffusion processes by CUSUM statistics based on one-step estimators
• Estimation of the coefficients of a diffusion from discrete observations
• Parameter Estimation for a Discretely Observed Integrated Diffusion Process
• Approximate discrete-time schemes for statistics of diffusion processes
• Use of Cumulative Sums of Squares for Retrospective Detection of Changes of Variance
• Estimation of an Ergodic Diffusion from Discrete Observations
• The Cusum Test for Parameter Change in Time Series Models
• Simple and Explicit Estimating Functions for a Discretely Observed Diffusion Process