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In this article we consider a Monte Carlo-based method to filter partially observed diffusions observed at regular and discrete times. Given access only to Euler discretizations of the diffusion process, we present a new procedure which can…

数值分析 · 数学 2020-02-12 Ajay Jasra , Kody Law , Fangyuan Yu

In this paper we introduce a novel particle filter scheme for a class of partially-observed multivariate diffusions. %continuous-time dynamic models where the %signal is given by a multivariate diffusion process. We consider a variety of…

统计方法学 · 统计学 2007-10-24 Paul Fearnhead , Omiros Papaspiliopoulos , Gareth Roberts

We consider the problem of inference for the states and parameters of a continuous-time multitype branching process from partially observed time series data. Exact inference for this class of models, typically using sequential Monte Carlo,…

统计方法学 · 统计学 2025-12-01 Angus Lewis , Antonio Parrella , John Maclean , Andrew J. Black

In this work we study systems consisting of a group of moving particles. In such systems, often some important parameters are unknown and have to be estimated from observed data. Such parameter estimation problems can often be solved via a…

应用统计 · 统计学 2023-07-11 Chen Cheng , Linjie Wen , Jinglai Li

In this paper the filtering of partially observed diffusions, with discrete-time observations, is considered. It is assumed that only biased approximations of the diffusion can be obtained, for choice of an accuracy parameter indexed by…

统计计算 · 统计学 2015-10-19 Ajay Jasra , Kengo Kamatani , Kody J. H. Law , Yan Zhou

This paper presents a simulation-based framework for sequential inference from partially and discretely observed point process (PP's) models with static parameters. Taking on a Bayesian perspective for the static parameters, we build upon…

统计方法学 · 统计学 2012-01-24 James S. Martin , Ajay Jasra , Emma McCoy

In this article we consider the filtering problem associated to partially observed diffusions, with observations following a marked point process. In the model, the data form a point process with observation times that have its intensity…

统计计算 · 统计学 2023-11-17 Miguel Alvarez , Ajay Jasra , Hamza Ruzayqat

We consider the problem of model choice for stochastic epidemic models given partial observation of a disease outbreak through time. Our main focus is on the use of Bayes factors. Although Bayes factors have appeared in the epidemic…

统计计算 · 统计学 2017-10-16 Muteb Alharthi , Theodore Kypraios , Philip D. O'Neill

This paper concerns the use of the expectation-maximisation (EM) algorithm for inference in partially observed diffusion processes. In this context, a well known problem is that all except a few diffusion processes lack closed-form…

统计理论 · 数学 2010-08-18 Jimmy Olsson , Jonas Ströjby

We are interested in the online prediction of the electricity load, within the Bayesian framework of dynamic models. We offer a review of sequential Monte Carlo methods, and provide the calculations needed for the derivation of so-called…

应用统计 · 统计学 2013-04-16 Tristan Launay , Anne Philippe , Sophie Lamarche

Inference for partially observed Markov process models has been a longstanding methodological challenge with many scientific and engineering applications. Iterated filtering algorithms maximize the likelihood function for partially observed…

统计理论 · 数学 2012-11-26 Edward L. Ionides , Anindya Bhadra , Yves Atchadé , Aaron King

"Particle methods" are sequential Monte Carlo algorithms, typically involving importance sampling, that are used to estimate and sample from joint and marginal densities from a collection of a, presumably increasing, number of random…

统计计算 · 统计学 2014-07-17 J. N. Corcoran , D. Jennings

In this paper, we consider the filtering problem for partially observed diffusions, which are regularly observed at discrete times. We are concerned with the case when one must resort to time-discretization of the diffusion process if the…

数值分析 · 数学 2020-04-09 Marco Ballesio , Ajay Jasra , Erik von Schwerin , Raul Tempone

In this article we consider static Bayesian parameter estimation for partially observed diffusions that are discretely observed. We work under the assumption that one must resort to discretizing the underlying diffusion process, for…

统计计算 · 统计学 2017-01-23 Ajay Jasra , Kengo Kamatani , Kody J. H. Law , Yan Zhou

In this article we consider likelihood-based estimation of static parameters for a class of partially observed McKean-Vlasov (POMV) diffusion process with discrete-time observations over a fixed time interval. In particular, using the…

统计方法学 · 统计学 2024-11-12 Ajay Jasra , Mohamed Maama , Raul Tempone

The state estimation problem for nonlinear systems with stochastic uncertainties can be formulated in the Bayesian framework, where the objective is to replace the state completely by its probability density function. Without the…

最优化与控制 · 数学 2024-04-04 Lukas Ecker , Kurt Schlacher

In this article we consider Bayesian parameter inference associated to partially-observed stochastic processes that start from a set B0 and are stopped or killed at the first hitting time of a known set A. Such processes occur naturally…

统计计算 · 统计学 2012-01-19 Ajay Jasra , Nikolas Kantas

This article discusses a partially adapted particle filter for estimating the likelihood of a nonlinear structural econometric state space models whose state transition density cannot be expressed in closed form. The filter generates the…

统计方法学 · 统计学 2012-09-05 Jamie Hall , Michael K. Pitt , Robert Kohn

In this paper we consider the filtering of partially observed multi-dimensional diffusion processes that are observed regularly at discrete times. We assume that, for numerical reasons, one has to time-discretize the diffusion process which…

统计计算 · 统计学 2023-02-21 Ajay Jasra , Mohamed Maama , Hernando Ombao

The term ``sequential Monte Carlo methods'' or, equivalently, ``particle filters,'' refers to a general class of iterative algorithms that performs Monte Carlo approximations of a given sequence of distributions of interest (\pi_t). We…

统计理论 · 数学 2007-06-13 Nicolas Chopin
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