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Home›Econometrics›Simple and Double Exponential Smoothing (SES / Holt)
Regression model

Simple and Double Exponential Smoothing (SES / Holt)

Also known as: SES, Holt's linear trend method, exponential smoothing forecasting, Basit ve Çift Üstel Düzleştirme (SES / Holt)

Exponential smoothing is a family of basic time-series forecasting models in which each new observation updates a smoothed estimate by a weighting parameter. Simple exponential smoothing (SES), introduced by Robert G. Brown in 1959, forecasts series with a stable level, while Holt's double exponential smoothing, introduced by Charles C. Holt in 1957, adds a trend term using the parameters alpha and beta.

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Exponential Smoothing
ARIMAState Space ModelStructural Time Series M…ETS ModelGARCHGARCH ModelHolt-Winters

When to use it

Use exponential smoothing for univariate continuous time series with a reasonable run of history (at least about 10 observations). Simple exponential smoothing fits series with a roughly constant level and no trend or seasonality, while Holt's double smoothing fits series that show a linear trend. Both assume the absence of seasonality (SES) and work best on stationary or only mildly trending data; they are not appropriate when strong seasonal cycles are present.

Strengths & limitations

Strengths
  • Very simple and fast, requiring only one or two smoothing parameters.
  • Adapts continuously to new data because recent observations receive the most weight.
  • Holt's extension captures a linear trend, letting forecasts rise or fall instead of staying flat.
Limitations
  • Simple exponential smoothing produces flat forecasts and cannot follow a trend.
  • Neither SES nor Holt handles seasonality; a seasonal series needs the Holt-Winters extension.
  • Performance depends on a sensible choice of the smoothing parameters alpha and beta.

Frequently asked

What is the difference between SES and Holt's method?

Simple exponential smoothing tracks only the level and produces flat forecasts, so it suits series with no trend. Holt's double exponential smoothing adds a second equation for the trend, so its forecasts can slope upward or downward over the forecast horizon.

What do alpha and beta control?

Alpha is the smoothing weight for the level: higher values react faster to recent observations. Beta is the smoothing weight for the trend in Holt's method: it governs how quickly the estimated slope adapts. Both lie between 0 and 1.

Can exponential smoothing handle seasonality?

No. SES and Holt assume there is no seasonal pattern. When the series has recurring seasonal cycles you need the Holt-Winters seasonal extension, which adds a third smoothing equation for the seasonal component.

How much data do I need?

A short history of about ten observations is enough to get started, though longer series give more reliable parameter estimates and forecasts.

Sources

  1. Brown, R. G. (1959). Statistical Forecasting for Inventory Control. McGraw-Hill. link ↗
  2. Holt, C. C. (1957). Forecasting Trends and Seasonals by Exponentially Weighted Averages. Office of Naval Research Memorandum 52, Carnegie Institute of Technology. link ↗

How to cite this page

ScholarGate. (2026, June 1). Simple and Double Exponential Smoothing (SES / Holt). ScholarGate. https://scholargate.app/en/econometrics/simple-exponential-smoothing

Related methods

ARIMAState Space ModelStructural Time Series Model

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Referenced by

ARIMAETS ModelGARCHGARCH ModelHolt-Winters

Similar methods

Holt-WintersETS ModelTheta MethodCroston's MethodEWMA ChartState Space ModelGM(1,1) Grey ForecastingProphet

Related reference concepts

Trend AnalysisNewton-Raphson and Scoring MethodsEM AlgorithmHidden Markov ModelsForecasting and Simulation: Models and ApplicationsForecasting and Simulation: Models and Applications

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — Exponential Smoothing (Simple and Double Exponential Smoothing (SES / Holt)). Retrieved 2026-07-21 from https://scholargate.app/en/econometrics/simple-exponential-smoothing · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Robert G. Brown (SES); Charles C. Holt (linear trend)
Year
1957
Type
Exponential smoothing forecasting model
Estimator
Recursive weighting via smoothing parameters α (level) and β (trend)
Outcome
continuous
Structure
univariate time series
MinSample
10
Related methods
ARIMAState Space ModelStructural Time Series Model
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