statsmodels.tsa.holtwinters.SimpleExpSmoothing

class statsmodels.tsa.holtwinters.SimpleExpSmoothing(endog, initialization_method=None, initial_level=None)[source]

Simple Exponential Smoothing

Parameters:
endogarray_like

The time series to model.

initialization_methodstr, optional

Method for initialize the recursions. One of:

  • None

  • ‘estimated’

  • ‘heuristic’

  • ‘legacy-heuristic’

  • ‘known’

None defaults to the pre-0.12 behavior where initial values are passed as part of fit. If any of the other values are passed, then the initial values must also be set when constructing the model. If ‘known’ initialization is used, then initial_level must be passed, as well as initial_trend and initial_seasonal if applicable. Default is ‘estimated’. “legacy-heuristic” uses the same values that were used in statsmodels 0.11 and earlier.

initial_levelfloat, optional

The initial level component. Required if estimation method is “known”. If set using either “estimated” or “heuristic” this value is used. This allows one or more of the initial values to be set while deferring to the heuristic for others or estimating the unset parameters.

Attributes:
endog_names

Names of endogenous variables.

exog_names

The names of the exogenous variables.

See also

ExponentialSmoothing

Exponential smoothing with trend and seasonal components.

Holt

Exponential smoothing with a trend component.

Notes

This is a full implementation of the simple exponential smoothing as per [1]. SimpleExpSmoothing is a restricted version of ExponentialSmoothing.

See the notebook Exponential Smoothing for an overview.

References

[1]

Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice. OTexts, 2014.

Methods

fit([smoothing_level, optimized, ...])

Fit the model

fix_params(values)

Temporarily fix parameters for estimation.

from_formula(formula, data[, subset, drop_cols])

Create a Model from a formula and dataframe.

hessian(params)

The Hessian matrix of the model.

information(params)

Fisher information matrix of model.

initial_values([initial_level, ...])

Compute initial values used in the exponential smoothing recursions.

initialize()

Initialize (possibly re-initialize) a Model instance.

loglike(params)

Log-likelihood of model.

predict(params[, start, end])

In-sample and out-of-sample prediction.

score(params)

Score vector of model.

Properties

endog_names

Names of endogenous variables.

exog_names

The names of the exogenous variables.


Last update: Dec 16, 2024