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This paper is a note on the use of Bayesian nonparametric mixture models for continuous time series. We identify a key requirement for such models, and then establish that there is a single type of mo...
We study properties and parameter estimation of finite-state homogeneous continuous-time bivariate Markov chains.
Marginal structural models were introduced in order to provide estimates of causal effects from interventions based on observational studies in epidemiological research. We present a variant of the ...
In this paper,we combine useful aspects of both approaches.On the one hand,we are inspired by the discretization, where filtering for the state process is possible,on the other hand,we catch attracti...
This article considers the application of particle ltering to continuous- discrete optimal ltering problems, where the system model is a stochastic dier- ential equation, and noisy measurements of t...
The paper studies large sample asymptotic properties of the Maximum Likelihood Estimator (MLE) for the parameter of a continuous time Markov chain, observed in white noise. Using the method of weak...
Novikov and Shiryaev (2004) give explicit solutions to a class of optimal stopping problems for random walks based on other similar examples given in Darling et al. (1972). We give the analogue of the...
We present a review of several results concerning the construction of the Cram´er-von Mises and Kolmogorov-Smirnov type goodnessof- fit tests for continuous time processes. As the models we ta...
This note continues investigation of randomness-type properties emerging in idealized financial markets with continuous price processes. It is shown, without making any probabilistic assumptions, that...
This paper studies the nonparametric regression estimation and the prediction problem for continuous-time observations. The almost sure convergence of a kernel regression estimator and the associated ...
We construct a data-driven projection density estimator for continuous time processes. This estimator reaches superoptimal rates over a class F0 of densities that is dense in the family of all possibl...
In a recent publication Chen & Zadrozny (2001) derive some equations for efficiently computing eA and ∇eA, its derivative. They employ an expression due to Bellman (1960), Snider (1964) and Wilc...
In this paper, we consider a continuous-time autoregressive fractionally integrated moving average(CARFIMA) model, which is defined as the stationary solution of a stochastic differential equation dr...
This article considers the application of particle filtering to continuousdiscrete optimal filtering problems, where the system model is a stochastic differential equation, and noisy measurements of...

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