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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...
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...
Species dynamics in the two-parameter Poisson-Dirichlet diffusion model
alpha diversity infinite-alleles model infinite dimensional dimensional diffusion mutation rate Poisson-Dirichlet distribution weak convergence
2013/6/14
The recently introduced two-parameter infinitely-many neutral alleles model extends the celebrated one-parameter version, related to Kingman's distribution, to diffusive two-parameter Poisson-Dirichle...
Epidemic diffusion on a graph is a dynamic process that transitions simultaneously to all of a node's neighbors, in contrast to a random walk, which selects only a single neighbor. Epidemic diffusion ...
Latent diffusion models for survival analysis
diffusion processes parametrization of hierarchical models survival analysis
2010/10/19
We consider Bayesian hierarchical models for survival analysis, where the survival times are modeled through an underlying diffusion process which determines the hazard rate. We show how these models ...
Estimating discontinuous periodic signals in a non-time homogeneous diffusion process
diffusions inhomogeneity in time discontinuous signal periodicity limit theorems likelihood ratio processes
2010/3/19
We consider a diffusion (t)t0 with some T -periodic time dependent input term contained in the drift: under an unknown parameter # 2 , some discontinuity – an additional periodic signal – occurs at...
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...
Inference based on Procrustes means for the 3D shape of tree boles and mildly rank-deficient diffusion tensors
Shape Spaces Extrinsic Mean Mean Location GeneralProcrustes Analysis Weighted Procrustes Mean Strong Law of Large Numbers
2010/3/10
A method for inference on cylindricity of tree boles based on 3D
Kendall shapes is presented. This method employs Procrustes means
which are highly popular in the shape community. While for extrinsi...
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。
First hitting times and positions of concentric spheres for testing the drift of a diffusion process
First hitting times positions of concentric spheres a diffusion process
2009/9/23
First hitting times and positions of concentric spheres for testing the drift of a diffusion process。
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...
High conductivity limits for reaction-diffusion equations
High conductivity limits reaction-diffusion equations
2009/9/22
A reaction-diffusion equation an [0, 11' with the heat
conductivity IC > 0, a polynomial drift term, and an additive random
perturbation is considered. It is shown that if IC tends to infinity, then...
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...