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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...
Extensions of diffusion processes on intervals and Feller's boundary conditions
Extensions of diffusion processes intervals Feller's boundary conditions Probability
2012/4/17
For a minimal diffusion process on $ (a,b) $, any possible extension of it to a standard process on $ [a,b] $ is characterized by the characteristic measures of excursions away from the boundary point...
Sensitivity analysis for diffusion processes constrained to an orthant
Sensitivity analysis diffusion processes Probability
2011/9/8
Abstract: This paper studies diffusion processes constrained to the positive orthant, and investigates changes in the steady-state distribution of such diffusions under infinitesimal changes in the dr...
Utility based pricing and hedging of jump diffusion processes with a view to applications
pricing hedging of jump diffusion processes marginal optimal hedge
2011/7/4
We discuss utility based pricing and hedging of jump di usion pro-
cesses with emphasis on the practical applicability of the framework. We
point out two diculties that seem to limit this applicabi...
Density Approximations for Multivariate Affine Jump-Diffusion Processes
Affine Processes Asymptotic Expansion Density Approximation
2011/7/25
Abstract: We introduce closed-form transition density expansions for multivariate affine jump-diffusion processes. The expansions rely on a general approximation theory which we develop in weighted Hi...
Time Reversal of Some Stationary Jump-Diffusion Processes from Population Genetics
Jump-Diffusion Processes Population Genetics
2010/11/19
We describe the processes obtained by time reversal of a class of stationary jump-diffusion processes that model the dynamics of genetic variation in populations subject to repeated bottlenecks. Assu...
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...
Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes
Laguerre Meixner symmetric functions infinite-dimensional diffusion processes
2010/12/3
The Laguerre symmetric functions introduced in the note are indexed by arbitrary partitions and depend on two continuous parameters. The top degree homogeneous component of every Laguerre symmetric fu...
On the Estimation of Integrated Covariance Matrices of High Dimensional Diffusion Processes
High dimension high frequency integrated covariance matrix
2010/10/20
We consider the estimation of integrated covariance matrices of high dimensional diffusion processes by using high frequency data. We start by studying the most commonly used estimator, the realized ...