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Time Series and Stochastic Differential Equations
Analyze Time Series Model Residuals
Fit a
MAProcess
[3]
to the data.
In[1]:=
X
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In[2]:=
X
model = EstimatedProcess[data, MAProcess[3]]
Out[2]=
Use
KalmanFilter
to find residuals and plot the histogram.
In[3]:=
X
residuals = Rest[data["PathStates"] - KalmanFilter[model, data]["PathStates"]]; Histogram[residuals]
Out[3]=
The null hypothesis of normality of the residuals cannot be rejected.
In[4]:=
X
DistributionFitTest[residuals, Automatic, {"TestDataTable", All}]
Out[4]=