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1answer
165 views

Assumption of Gaussian distribution of acceleration

I have a data set consisting of noisy position values of a trajectory of a human hand. I want to estimate a generative model of these trajectories, and the obvious choice is a Kalman Filter/linear ...
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0answers
271 views

How to check which model is better in state space time series analysis?

I am doing time series data analysis by state space methods. With my data the stochastic local level model totally outperformed the deterministic one. But the deterministic level and slope model gives ...
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0answers
32 views

State space representation using KFAS package

I am using KFAS package for R. You can run install.packages("KFAS") library(KFAS) ?regSSM ...
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0answers
57 views

Poisson State Space with AR(1) latent process

I have been trying to use sspir R package to estimate the following Poisson model: $Y_{t}\sim Po(\exp(\lambda_{t}));$ such that $\lambda_{t}=X_{t}\beta +\gamma_{t}$ and ...
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0answers
73 views

Criticism, please: simplifying state space model

As a little experiment, I am extending a nice, interpretable AR/MA relationship between a security $r$ that is variably influenced by the previous $k$ time points over another security $f$. These ...
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0answers
44 views

Building artificial state space model from noise-less data

I have a discrete time stochastic process, where at each time the state of the system $X_t$ is given by: $$ X_t = f_\theta(X_{t-1},\epsilon_t), \; \; \text{for} \; t = 1,\dots,T $$ and, for example, ...
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57 views

Logistic regression state-space representation

Consider this univariate time series Logit model: $\text{Pr}(X_{t}=1)=\frac{e^{\beta_{1}+\beta_{2}x_{t}+\epsilon_{t}}}{1+e^{\beta_{1}+\beta_{2}x_{t}+\epsilon_{t}}}$, then ...
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16 views

Phase space discretization and symbolization

Application of Symbolic Dynamics1, Symbolic Dynamics&ECG papers explain how to generate a symbolic representation of a nonlinear chaotic system. Symbolic dynamics is a tool to explain the ...
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43 views

Confidence interval in sspir package (state space model)

Has anyone have plot a confidence interval for the latent process, using the sspir package? I am able to plot the estimates, but so far haven't been able to include the confidence intervals. Any ...