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Maximum-Likelihood Estimation For Diffusion Processes Via Closed-Form Density Expansions
asymptotic expansion diffusion discrete observation maximum-likelihood estimation transition density
2016/1/25
This paper proposes a widely applicable method of approximate maximum-likelihood estimation for multivariate diffusion process from discretely sampled data. A closed-form asymptotic expansion for tran...
Maximum-Likelihood Estimation For Diffusion Processes Via Closed-Form Density Expansions
asymptotic expansion diffusion discrete observation maximum-likelihood estimation transition density
2016/1/20
This paper proposes a widely applicable method of approximate maximum-likelihood estimation for multivariate diffusion process from discretely sampled data. A closed-form asymptotic expansion for tran...
On the Approximate Maximum Likelihood Estimation for Diffusion Processes
Asymptotic expansion Asymptotic normality Consistency Dis- crete time observation Maximum likelihood estimation
2016/1/19
The transition density of a diffusion process does not admit an explicit expression in general, which prevents the full maximum likelihood estimation (MLE) based on discretely observed sample paths. A...
Central Limit Theorems and Large Deviations for Additive Functionals of Reflecting Diffusion Processes
Central Limit Theorems Large Deviations Additive Functionals Reflecting Diffusion Processes
2015/7/6
This paper develops central limit theorems (CLT's) and large deviations results for additive functionals associated with reflecting disions in which the functional may include a term associated with t...
Approximation of epidemic models by diffusion processes and their statistical inference
Approximation epidemic models diffusion processes their statistical inference
2013/6/14
Among various mathematical frameworks, multidimensional continuous-time Markov jump processes $(Z_t)$ on $\N^d$ form a natural set-up for modeling $SIR$-like epidemics. In this study we extend the res...
On Asymptotically Distribution Free Tests with Parametric Hypothesis for Ergodic Diffusion Processes
Cramer-von Mises tests ergodic diffusion process goodness of fit test asymptotically distribution free
2013/6/14
We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposedd that under the basic hypothesis the trend coe...
On Asymptotically Distribution Free Tests with Parametric Hypothesis for Ergodic Diffusion Processes
Cramer-von Mises tests ergodic diffusion process goodness of fit test asymptotically distribution free
2013/6/14
We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposedd that under the basic hypothesis the trend coe...
Non-additive disorder problems for some diffusion processes
parabolic-type free-boundary problem a change-of-variable formula with local time on surfaces
2010/10/19
We study the Bayesian problem of detecting a change in the drift rate of an observable diffusion process with certain non-additive detection delay penalty criterions. We express the Bayesian risk func...
Adaptive LASSO-type estimation for ergodic diffusion processes
discretely observed diffusion processes model selection oracle proper-ties random fields stochastic differential equations
2010/3/10
The LASSO is a widely used statistical methodology for simultaneous estimation
and variable selection. In the last years, many authors analyzed this technique from
a theoretical and applied point of...
Harnack's inequalities for Dirichlet forms and their applications to diffusion processes
Harnack's inequalities Dirichlet forms applications to diffusion processes
2009/9/24
Harnack's inequalities for Dirichlet forms and their applications to diffusion processes。
On some properties of one-dimensional diffusion processes on an interval
some properties one-dimensional diffusion processes interval
2009/9/22
Some equations are obtained for the moments of the
first passage time of a one-dimensional time-homogeneous diffusion
process, through each of two accessible boundaries cr and fl, given that
the pr...
On first-passage times for one-dimensional jump-diffusion processes
Jump-diffusion process exit probability first-crossing time
2009/9/22
Some problems of first-crossing times over two time-
-dependent boundaries lor one-dimensional jump-difiusion processes
are considered. The moments of the first-crossing times over each
boundary ar...
Hitting Parabolas and Exponential Curves with Diffusion Processes
Hitting Parabolas Exponential Curves Diffusion Processes
2009/9/18
Hitting Parabolas and Exponential Curves with Diffusion Processes。
Controlled diffusion processes
controlled diffusions optimal control dynamic programming Hamilton-Jacobi-Bellman equations partial observations
2009/5/18
This article gives an overview of the developments in controlled diffusion processes, emphasizing key results regarding existence of optimal controls and their characterization via dynamic programming...
Excursions Into a New Duality Relation for Diffusion Processes
Excursions Diffusion Processes
2009/5/12
This work was motivated by the recent work by H. Dette, J. Pitman and W.J. Studden on a new duality relation for random walks. In this note we consider the diffusion process limit of their result, and...