WeightedBoxTest {ConnectednessApproach}

WeightedBoxTest

Description

Weighted portmanteau tests for testing the null hypothesis of adequate ARMA fit and/or for detecting nonlinear processes. Written in the style of Box.test() and is capable of performing the traditional Box Pierce (1970), Ljung Box (1978) or Monti (1994) tests.

Usage

WeightedBoxTest(
  x,
  lag = 1,
  type = c("Box-Pierce", "Ljung-Box", "Monti"),
  fitdf = 0,
  sqrd.res = FALSE,
  log.sqrd.res = FALSE,
  abs.res = FALSE,
  weighted = TRUE
)

Arguments

x

a numeric vector or univariate time series, or residuals of a fitted time series

lag

the statistic will be based on lag autocorrelation coefficients. lag=1 by default

type

test to be performed, partial matching is used. "Box-Pierce" by default

fitdf

number of degrees of freedom to be subtracted if x is a series of residuals, set at 0 by default

sqrd.res

A flag, should the series/residuals be squared to detect for nonlinear effects?, FALSE by default

log.sqrd.res

A flag, should a log of the squared series/residuals be used to detect for nonlinear effects? FALSE by default

abs.res

A flag, should the absolute series or residuals be used to detect for nonlinear effects? FALSE by default

weighted

A flag determining if the weighting scheme should be utilized. TRUE by default. If set to FALSE, the traditional test is performed with no weights

Value

Get Uninformative Prior

Author(s)

David Gabauer

References

Box, G. E. P. and Pierce, D. A. (1970), Distribution of residual correlations in autoregressive-integrated moving average time series models. Journal of the American Statistical Association, 65, 1509-1526.

Fisher, T. J. and Gallagher, C. M. (2012), New Weighted Portmanteau Statistics for Time Series Goodness-of-Fit Testing. Journal of the American Statistical Association, accepted.

Ljung, G. M. and Box, G. E. P. (1978), On a measure of lack of fit in time series models. Biometrika 65, 297-303.

Mahdi, E. and McLeod, A. I. (2012), Improved multivariate portmanteau test. Journal of Time Series Analysis 65(2), 297-303.

Monti, A. C. (1994), A proposal for a residual autocorrelation test in linear models. Biometrika 81(4), 776-780.

Pena, D. and Rodriguez, J. (2002) A powerful portmanteau test of lack of fit for time series. Journal of the American Statistical Association 97(458), 601-610.