dshw: Double-Seasonal Holt-Winters Forecasting

In forecast: Forecasting Functions for Time Series and Linear Models

Double-Seasonal Holt-Winters Forecasting

Description

Returns forecasts using Taylor's (2003) Double-Seasonal Holt-Winters method.

Usage

dshw(
  y,
  period1 = NULL,
  period2 = NULL,
  h = 2 * max(period1, period2),
  alpha = NULL,
  beta = NULL,
  gamma = NULL,
  omega = NULL,
  phi = NULL,
  lambda = NULL,
  biasadj = FALSE,
  armethod = TRUE,
  model = NULL
)

Arguments

y	Either an msts object with two seasonal periods or a numeric vector.
period1	Period of the shorter seasonal period. Only used if y is not an msts object.
period2	Period of the longer seasonal period. Only used if y is not an msts object.
h	Number of periods for forecasting.
alpha	Smoothing parameter for the level. If NULL, the parameter is estimated using least squares.
beta	Smoothing parameter for the slope. If NULL, the parameter is estimated using least squares.
gamma	Smoothing parameter for the first seasonal period. If NULL, the parameter is estimated using least squares.
omega	Smoothing parameter for the second seasonal period. If NULL, the parameter is estimated using least squares.
phi	Autoregressive parameter. If NULL, the parameter is estimated using least squares.
lambda	Box-Cox transformation parameter. If lambda="auto", then a transformation is automatically selected using BoxCox.lambda. The transformation is ignored if NULL. Otherwise, data transformed before model is estimated.
biasadj	Use adjusted back-transformed mean for Box-Cox transformations. If transformed data is used to produce forecasts and fitted values, a regular back transformation will result in median forecasts. If biasadj is TRUE, an adjustment will be made to produce mean forecasts and fitted values.
armethod	If TRUE, the forecasts are adjusted using an AR(1) model for the errors.
model	If it's specified, an existing model is applied to a new data set.

Details

Taylor's (2003) double-seasonal Holt-Winters method uses additive trend and multiplicative seasonality, where there are two seasonal components which are multiplied together. For example, with a series of half-hourly data, one would set period1=48 for the daily period and period2=336 for the weekly period. The smoothing parameter notation used here is different from that in Taylor (2003); instead it matches that used in Hyndman et al (2008) and that used for the ets function.

Value

An object of class "forecast" which is a list that includes the following elements:

model	A list containing information about the fitted model
method	The name of the forecasting method as a character string
mean	Point forecasts as a time series
x	The original time series.
residuals	Residuals from the fitted model. That is x minus fitted values.
fitted	Fitted values (one-step forecasts)

The function summary is used to obtain and print a summary of the results, while the function plot produces a plot of the forecasts.

The generic accessor functions fitted.values and residuals extract useful features of the value returned by dshw.

Author(s)

Rob J Hyndman

References

Taylor, J.W. (2003) Short-term electricity demand forecasting using double seasonal exponential smoothing. Journal of the Operational Research Society, 54, 799-805.

Hyndman, R.J., Koehler, A.B., Ord, J.K., and Snyder, R.D. (2008) Forecasting with exponential smoothing: the state space approach, Springer-Verlag. http://www.exponentialsmoothing.net.

See Also

HoltWinters, ets.

Examples

## Not run: 
fcast <- dshw(taylor)
plot(fcast)

t <- seq(0,5,by=1/20)
x <- exp(sin(2*pi*t) + cos(2*pi*t*4) + rnorm(length(t),0,.1))
fit <- dshw(x,20,5)
plot(fit)

## End(Not run)

forecast documentation built on June 22, 2024, 9:20 a.m.