Smooth and Thin Irregular Time Series
Smooth and thin the time series of Apple, Inc. daily stock prices.
show complete Wolfram Language input
In[2]:=
data = TemporalData[TimeSeries, {CompressedData["
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"], 1, {
"Continuous", 1}, {"Discrete", 1}, 1, {
ValueDimensions -> 1, DateFunction -> Automatic,
ResamplingMethod -> {"Interpolation", InterpolationOrder -> 1}}},
True, 314.1];
Compute the 3-month moving median.
In[3]:=
smooth = MovingMap[Median, data, {{3, "Month"}}]
Out[3]=
The time series has been smoothed.
In[4]:=
DateListPlot[{data, smooth}, PlotTheme -> "Detailed",
PlotLegends -> {"data", "smoothing"}]
Out[4]=
Compute the 3-month moving median in increments of one month.
In[5]:=
thin = MovingMap[Median, data, {{3, "Month"}, Right, "Month"}]
Out[5]=
This smooths and thins the time series.
In[6]:=
{data["PathLength"], smooth["PathLength"], thin["PathLength"]}
Out[6]=
Compare the results.
In[7]:=
DateListPlot[{data, smooth, thin}, PlotTheme -> "Detailed",
PlotLegends -> {"data", "smoothing only", "smoothing and thinning"}]
Out[7]=