rwf {forecast}R Documentation

Random Walk Forecast

Description

Returns forecasts and prediction intervals for a random walk with drift model applied to x.

Usage

rwf(x, h=10, drift=FALSE, level=c(80,95), fan=FALSE, lambda=NULL)

Arguments

x

a numeric vector or time series

h

Number of periods for forecasting

drift

Logical flag. If TRUE, fits a random walk with drift model.

level

Confidence levels for prediction intervals.

fan

If TRUE, level is set to seq(50,99,by=1). This is suitable for fan plots.

lambda

Box-Cox transformation parameter. Ignored if NULL. Otherwise, forecasts back-transformed via an inverse Box-Cox transformation.

Details

The random walk with drift model is

Y[t]=c + Y[t-1] + Z[t]

where Z[t] is a normal iid error. Forecasts are given by

Y[n+h]=ch+Y[n]

. If there is no drift, the drift parameter c=0. Forecast standard errors allow for uncertainty in estimating the drift parameter.

Value

An object of class "forecast".

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

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

An object of class "forecast" is a list containing at least 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

lower

Lower limits for prediction intervals

upper

Upper limits for prediction intervals

level

The confidence values associated with the prediction intervals

x

The original time series (either object itself or the time series used to create the model stored as object).

residuals

Residuals from the fitted model. That is x minus fitted values.

fitted

Fitted values (one-step forecasts)

Author(s)

Rob J Hyndman

See Also

arima, meanf

Examples

gold.fcast <- rwf(gold[1:60],h=50)
plot(gold.fcast)

[Package forecast version 3.24 Index]