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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...
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...
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...
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...
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 ...
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 ...
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...
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...
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...
First hitting times and positions of concentric spheres for testing the drift of a diffusion process
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...
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...
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...

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