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Linear Gaussian State-Space Model

Continuous-time non-linear non-gaussian state-space modeling of electroencephalography with sequential Monte Carlo based estimation

Continuous-time non-linear non-gaussian state-space modeling of electroencephalography with sequential Monte Carlo based estimation

... diffusion model of ERP dynamics with RBPF estimation for single-trial estimation of ...proposed model is formulated into conditionally linear Gaussian state-space model ...

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Robust estimation of linear state space models

Robust estimation of linear state space models

... 2 Linear Gaussian state space models In a state space model we assume that a time series y t is generated from a series of unobserved states θ t ...initial state ...

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Gaussian linear state-space model for wind. fields in the North-East Atlantic

Gaussian linear state-space model for wind. fields in the North-East Atlantic

... and Gaussian linear state-space models are known to be non- identifiable without additional constraints (Hannan and Deistler, 1988; Ljung, 1999; Bai and Wang, 2012; Bork, ...of linear ...

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Estimation in Non Linear Non Gaussian State Space Models with Precision Based Methods

Estimation in Non Linear Non Gaussian State Space Models with Precision Based Methods

... the linear Gaussian ...the state space model for which we propose an approximation to the conditional density for the states, an approach to estimating the integrated likelihood in this ...

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Estimation in Non-Linear Non-Gaussian State Space Models with Precision-Based Methods

Estimation in Non-Linear Non-Gaussian State Space Models with Precision-Based Methods

... the linear Gaussian ...the state space model for which we propose an approximation to the conditional density for the states, an approach to estimating the integrated likelihood in this ...

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Bayesian Inference in a Non linear/Non Gaussian Switching State Space Model: Regime dependent Leverage Effect in the U S  Stock Market

Bayesian Inference in a Non linear/Non Gaussian Switching State Space Model: Regime dependent Leverage Effect in the U S Stock Market

... partially linear structure of a switching state space model and incorporating Kim’s (1994) approximate filtering and smoothing ...estimate linear/Gaussian ...

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PySSM: A python module for Bayesian inference of linear Gaussian state space models

PySSM: A python module for Bayesian inference of linear Gaussian state space models

... The code above initialises the required system matrices. Note that, as we use diffuse initial conditions and a1 is only a dummy argument in this case. Further, setting wmat to zeros is required here as diffuse initial ...

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Non-Parametric Estimation of Forecast Distributions in Non-Gaussian, Non-linear State Space Models

Non-Parametric Estimation of Forecast Distributions in Non-Gaussian, Non-linear State Space Models

... drop in stock prices, generally viewed as a market correction to over-in‡ated prices following a decade-long ‘bull’market. Also factoring in the speed of the fall in prices at this time were a series of large corporate ...

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Bayesian Inference in a Non-linear/Non-Gaussian Switching State Space Model: Regime-dependent Leverage Effect in the U.S. Stock Market

Bayesian Inference in a Non-linear/Non-Gaussian Switching State Space Model: Regime-dependent Leverage Effect in the U.S. Stock Market

... ing state space models by extending a standard Particle Markov chain Monte Carlo (PMCMC) ...degenerate state transition ...switching state space mod- els, regardless of the Markovian ...

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Skew-normal shocks in the linear state space form DSGE model

Skew-normal shocks in the linear state space form DSGE model

... in linear (or linearized) models with Gaussian shocks, and shocks are usually assumed to be ...the model linear (or ...the state space model and, using the well-known ...

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Gaussian processes for state space models and change point detection

Gaussian processes for state space models and change point detection

... We tested BOCPD with three different UPMs: IFM, GPTS, ARGP. We com- pared it against the vanilla GPTS and ARGP as well as the GPIL. For the classical methods, we compared against linear AR, MA, ARMA, and Kalman ...

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A semiparametric state space model

A semiparametric state space model

... is linear or quasi-linear on the number of ...a Gaussian-sum with a lower number of components (that is, lower than T + ...given Gaussian-sum by another such density mixture having a lower ...

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Parameterisation and Efficient MCMC Estimation of Non-Gaussian State Space Models

Parameterisation and Efficient MCMC Estimation of Non-Gaussian State Space Models

... The state space form provides a convenient framework for building time se- ries models for observed phenomena, whereby relatively simple model compo- nents are combined to explain potentially complex ...

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CiteSeerX — Identification of Mixed Linear/Nonlinear State-Space Models

CiteSeerX — Identification of Mixed Linear/Nonlinear State-Space Models

... In this paper we have presented a new method for max- imum likelihood parameter estimation in nonlinear state- space models containing conditionally linear Gaussian sub- structures. The method ...

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Widely Linear State Space Filtering of Improper Complex Signals

Widely Linear State Space Filtering of Improper Complex Signals

... of Gaussian signals can vary extensively, that is from a circular distribution to the extremely noncircular case where all the data are distributed on a line, for example when the real and imaginary parts are ...

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Stochastic model specification search for Gaussian and partial non-Gaussian state space models

Stochastic model specification search for Gaussian and partial non-Gaussian state space models

... Frühwirth-Schnatter, S., & Wagner, H. (2009). Stochastic model specification search for Gaussian and partial non- Gaussian state space models. Journal of Econometrics, 154(1), 85-100. ...

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Linear State Space Models

Linear State Space Models

... 5.1 Visualizing Stability Let’s look at some more time series from the same model that we analyzed above. This picture shows cross-sectional distributions for 𝑦 at times 𝑇 , 𝑇 ′ , 𝑇 ″ Note how the time series ...
Linear State Space Models

Linear State Space Models

... We can then choose, as state variables, x i (t) = v i (t), which lead to the following state space model for the system. The above model has a special form. We will see later that any ...

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A Linear Non-Gaussian Acyclic Model for Causal Discovery

A Linear Non-Gaussian Acyclic Model for Causal Discovery

... is linear, (b) there are no unobserved confounders, and (c) disturbance variables have non-Gaussian distributions of non-zero ...for Linear Non-Gaussian Acyclic Model), and demonstrate ...

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Filtering and identification of a state space model with linear and bilinear interactions between the states

Filtering and identification of a state space model with linear and bilinear interactions between the states

... enabling a wider and more flexible application of such models. To the best of our knowl- edge, no attempt has been made to treat such systems in the general setting presented here. The widespread use of bilinear models ...

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