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Finite state space hidden Markov models are flexible tools to model phenomena with complex time dependencies: any process distribution can be approximated by a hidden Markov model with enough hidden states.We consider the problem of…

统计理论 · 数学 2021-02-16 Luc Lehéricy

In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

In this paper we present a model for the hidden Markovian bandit problem with linear rewards. As opposed to current work on Markovian bandits, we do not assume that the state is known to the decision maker before making the decision.…

机器学习 · 计算机科学 2021-01-25 Michal Yemini , Amir Leshem , Anelia Somekh-Baruch

In this paper we describe a general probabilistic framework for modeling waveforms such as heartbeats from ECG data. The model is based on segmental hidden Markov models (as used in speech recognition) with the addition of random effects to…

应用统计 · 统计学 2012-07-19 Seyoung Kim , Padhraic Smyth , Stefan Luther

In the regime switching extension of Black-Scholes-Merton model of asset price dynamics, one assumes that the volatility coefficient evolves as a hidden pure jump process. Under the assumption of Markov regime switching, we have considered…

计算金融 · 定量金融 2022-03-22 Anindya Goswami , Kedar Nath Mukherjee , Irvine Homi Patalwala , Sanjay N. S

This work aims at providing a new model for time series classification based on learning from just one example. We assume that time series can be well characterized as a parametric random process, a sort of Hidden semi-Markov Model…

We propose a Bayesian inference approach for a class of latent Markov models. These models are widely used for the analysis of longitudinal categorical data, when the interest is in studying the evolution of an individual unobservable…

统计方法学 · 统计学 2011-01-05 Francesco Bartolucci , Silvia Pandolfi

We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by…

系统与控制 · 电气工程与系统科学 2024-07-16 Simon Kuang , Xinfan Lin

We consider a hidden Markov model, where the signal process, given by a diffusion, is only indirectly observed through some noisy measurements. The article develops a variational method for approximating the hidden states of the signal…

最优化与控制 · 数学 2016-10-26 Tobias Sutter , Arnab Ganguly , Heinz Koeppl

We extend the theory from Fan and Li (2001) on penalized likelihood-based estimation and model-selection to statistical and econometric models which allow for non-negativity constraints on some or all of the parameters, as well as…

计量经济学 · 经济学 2023-02-07 Heino Bohn Nielsen , Anders Rahbek

This report addresses state inference for hidden Markov models. These models rely on unobserved states, which often have a meaningful interpretation. This makes it necessary to develop diagnostic tools for quantification of state…

统计理论 · 数学 2018-10-26 Jean-Baptiste Durand , Y. Guédon

This paper describes a data reduction technique in case of a markov chain of specified order. Instead of observing all the transitions in a markov chain we record only a few of them and treat the remaining part as missing. The decision…

统计方法学 · 统计学 2018-07-17 Atanu Kumar Ghosh , Arnab Chakraborty

We present a simulation methodology for Bayesian estimation of rate parameters in Markov jump processes arising for example in stochastic kinetic models. To handle the problem of missing components and measurement errors in observed data,…

统计计算 · 统计学 2010-09-01 Michael Amrein , Hans R. Kuensch

This article extends the autoregressive count time series model class by allowing for a model with regimes, that is, some of the parameters in the model depend on the state of an unobserved Markov chain. We develop a quasi-maximum…

统计方法学 · 统计学 2018-04-26 Geir D. Berentsen , Jan Bulla , Antonello Maruotti , Bård Støve

In this paper we consider a reduced-form intensity-based credit risk model with a hidden Markov state process. A filtering method is proposed for extracting the underlying state given the observation processes. The method may be applied to…

计算金融 · 定量金融 2016-03-10 Feng-Hui Yu , Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu

The expectation maximization (EM) algorithm is a widespread method for empirical Bayesian inference, but its expectation step (E-step) is often intractable. Employing a stochastic approximation scheme with Markov chain Monte Carlo (MCMC)…

统计计算 · 统计学 2024-02-29 Samuel Gruffaz , Kyurae Kim , Alain Oliviero Durmus , Jacob R. Gardner

The paper deals with the nonparametric estimation problem at a given fixed point for an autoregressive model with unknown distributed noise. Kernel estimate modifications are proposed. Asymptotic minimax and efficiency properties for…

统计理论 · 数学 2008-06-19 Ouerdia Arkoun , Serguei Pergamenchtchikov

We propose to model time-varying periodic and oscillatory processes by means of a hidden Markov model where the states are defined through the spectral properties of a periodic regime. The number of states is unknown along with the relevant…

统计方法学 · 统计学 2021-03-19 Beniamino Hadj-Amar , Bärbel Finkenstädt , Mark Fiecas , Robert Huckstepp

The identification of predictive biomarkers from a large scale of covariates for subgroup analysis has attracted fundamental attention in medical research. In this article, we propose a generalized penalized regression method with a novel…

统计方法学 · 统计学 2019-04-29 Chong Ma , Wenxuan Deng , Shuangge Ma , Ray Liu , Kevin Galinsky

Asymptotic properties of Markov Processes, such as steady state probabilities or hazard rate for absorbing states can be efficiently calculated by means of linear algebra even for large-scale problems. This paper discusses the methods for…

性能 · 计算机科学 2017-05-17 Vitali Volovoi