Adaptive estimation of an ergodic diffusion process based on sampled data

From MaRDI portal
Publication:436297

DOI10.1016/j.spa.2012.04.001zbMath1243.62113OpenAlexW1974862158MaRDI QIDQ436297

Masayuki Uchida, Nakahiro Yoshida

Publication date: 20 July 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2012.04.001




Related Items

On the multi-step MLE-process for ergodic diffusionMethod of moments estimators and multi-step MLE for Poisson processesAdaptive estimator for a parabolic linear SPDE with a small noiseParametric estimation for a parabolic linear SPDE model based on discrete observationsPenalized least squares approximation methods and their applications to stochastic processesQuasi-likelihood analysis and its applicationsAdaptive tests for parameter changes in ergodic diffusion processes from discrete observationsA review of asymptotic theory of estimating functionsHybrid estimators for stochastic differential equations from reduced dataLAMN property for multivariate inhomogeneous diffusions with discrete observationsMaximum-likelihood estimation for diffusion processes via closed-form density expansionsConvergence of Gaussian quasi-likelihood random fields for ergodic Lévy driven SDE observed at high frequencyMoment convergence in regularized estimation under multiple and mixed-rates asymptoticsAdaptive Bayes type estimators of ergodic diffusion processes from discrete observationsMoment convergence of \(Z\)-estimatorsModel Selection for Volatility PredictionEstimation for incomplete information stochastic systems from discrete observationsGaussian quasi-information criteria for ergodic Lévy driven SDEParameter estimation for linear parabolic SPDEs in two space dimensions based on high frequency dataParameter estimation for a linear parabolic SPDE model in two space dimensions with a small noiseOrder estimate of functionals related to fractional Brownian motionParameter estimation for ergodic linear SDEs from partial and discrete observationsAdaptive inference for small diffusion processes based on sampled dataBootstrap method for misspecified ergodic Lévy driven stochastic differential equation modelsAsymptotically efficient estimation for diffusion processes with nonsynchronous observationsChange point inference in ergodic diffusion processes based on high frequency dataUnnamed ItemParametric inference for discretely observed multidimensional diffusions with small diffusion coefficientAdaptive estimation of an ergodic diffusion process based on sampled dataAsymptotics for functionals of self-normalized residuals of discretely observed stochastic processesAIC type statistics for discretely observed ergodic diffusion processesAdaptive test statistics for ergodic diffusion processes sampled at discrete timesNon-Gaussian quasi-likelihood estimation of SDE driven by locally stable Lévy processRegularized bridge-type estimation with multiple penaltiesA new delta expansion for multivariate diffusions via the Itô-Taylor expansionHybrid estimation for ergodic diffusion processes based on noisy discrete observationsEstimating diffusion with compound Poisson jumps based on self-normalized residualsStatistical inference for misspecified ergodic Lévy driven stochastic differential equation modelsHybrid estimators for small diffusion processes based on reduced dataEfficient parametric estimation for a signal-plus-noise Gaussian model from discrete time observationsGlobal jump filters and quasi-likelihood analysis for volatilityAdaptive estimation for degenerate diffusion processesQuasi-likelihood analysis and Bayes-type estimators of an ergodic diffusion plus noiseAdaptive testing method for ergodic diffusion processes based on high frequency dataEmpirical \(L^2\)-distance test statistics for ergodic diffusionsOn the asymptotic properties of Bayes-type estimators with general loss functionsAdaptive test for ergodic diffusions plus noisePartial quasi-likelihood analysisData driven time scale in Gaussian quasi-likelihood inferenceThe Dantzig selector for a linear model of diffusion processesHybrid multi-step estimators for stochastic differential equations based on sampled data



Cites Work