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Simple Exponential Smoothing

Forecasting method that assigns exponentially decreasing weights to past observations, used for time series without trend or seasonality.

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Holt's Method

Linear exponential smoothing technique that explicitly models the level and trend of a time series without seasonal component.

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Holt-Winters Method

Advanced forecasting algorithm that simultaneously captures the level, trend, and seasonality of a time series through triple exponential smoothing.

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Alpha Smoothing Constant

Parameter between 0 and 1 that controls the relative weight given to the most recent observation in calculating the series level.

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Beta Smoothing Constant

Smoothing parameter that regulates the adjustment of the trend component based on recent changes observed in the time series.

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Gamma Smoothing Constant

Exponential smoothing coefficient that determines the speed of adaptation of the seasonal component to changes in periodic patterns.

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Level Component

Smoothed baseline value of the time series that represents the de-trended and deseasonalized average at each period.

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Trend Component

Systematic growth or decline rate of the time series, captured by the difference between successive smoothed levels.

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Seasonal Component

Recurring periodic pattern of the time series that repeats at fixed intervals, adjusted multiplicatively or additively according to the model.

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Additive Method

Holt-Winters approach where the forecast is the sum of level, trend, and seasonality components, appropriate when variance is constant.

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Multiplicative Method

Holt-Winters variant where seasonality is proportional to the level, used when the amplitude of seasonal variations grows with the trend.

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Short-term Forecasting

Main application of exponential smoothing, optimized for near time horizons where recent patterns dominate predictions.

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Brown's Method

Double exponential smoothing technique equivalent to Holt's method, using a single smoothing constant for level and trend components.

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Damped Holt-Winters

Damped extension of the Holt-Winters method that gradually reduces the impact of the trend to avoid unrealistic long-term forecasts.

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Seasonal Decomposition

Process of separating a time series into its fundamental components (trend, seasonality, residual) prior to smoothing.

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Weighted Exponential Smoothing

Fundamental principle where weights decrease exponentially with the age of observations, ensuring recent data more significantly influence forecasts.

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