forecast (version 7.3)

BoxCox: Box Cox Transformation

Description

BoxCox() returns a transformation of the input variable using a Box-Cox transformation. InvBoxCox() reverses the transformation.

Usage

BoxCox(x, lambda)
InvBoxCox(x,lambda)

Arguments

x

a numeric vector or time series

lambda

transformation parameter

Value

Details

The Box-Cox transformation is given by $$f_\lambda(x) =\frac{x^\lambda - 1}{\lambda}$$ if $lambda is not equal to 0$. For $lambda=0$, $$f_0(x)=\log(x)$$.

References

Box, G. E. P. and Cox, D. R. (1964) An analysis of transformations. JRSS B 26 211--246.

See Also

BoxCox.lambda

Examples

lambda <- BoxCox.lambda(lynx)
lynx.fit <- ar(BoxCox(lynx,lambda))
plot(forecast(lynx.fit,h=20,lambda=lambda))