% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/Qstat.sb.opt.R
\name{Qstat.sb.opt}
\alias{Qstat.sb.opt}
\title{Stationary Bootstrap for Q statistics}
\usage{
Qstat.sb.opt(DATA, vecA, Psize, Bsize, sigLev)
}
\arguments{
\item{DATA}{The original data}

\item{vecA}{A pair of two probabity values at which sample quantiles are estimated}

\item{Psize}{The maximum number of lags}

\item{Bsize}{The number of repetition of bootstrap}

\item{sigLev}{The statistical significance level}
}
\value{
The bootstrap critical values
}
\description{
Stationary Bootstrap procedure to generate critical values for both Box-Pierece and Ljung-Box type Q-statistics with the choice of the stationary-bootstrap parameter.
}
\details{
This function returns critical values for for both Box-Pierece and Ljung-Box type
Q-statistics through the statioanry bootstrap proposed by Politis and Romano (1994).
To choose parameter for the statioanry bootstrap, this function
first obtaines the optimal value for each time serie using the
result provided by Politis and White (2004) and Patton, Politis and White (2004)
(The R-package, "np", written by  Hayfield and Racine is used).
Next, the average of the obtained values is used as the parameter value.
}
\examples{
data("sys.risk") ## data source
D = sys.risk[,c("Market", "JPM")] ## data: 2 variables

# probability levels for the 2 variables
vecA = c(0.1, 0.5)

## setup for stationary bootstrap
Bsize  = 5    ## small size, 5, for test
sigLev = 0.05 ## significance level

## Q statistics with lags from 1 to5
Qstat.sb.opt(D, vecA, 5, Bsize, sigLev)

}
\references{
Han, H., Linton, O., Oka, T., and Whang, Y. J. (2016).
"The cross-quantilogram: Measuring quantile dependence and testing directional predictability between time series." \emph{Journal of Econometrics}, 193(1), 251-270.

Patton, A., Politis, D. N., and White, H. (2009).
Correction to "Automatic block-length selection for the dependent bootstrap"
by D. Politis and H. White. \emph{Econometric Reviews}, 28(4), 372-375.

Politis, D. N., and White, H. (2004).
"Automatic block-length selection for the dependent bootstrap."
\emph{Econometric Reviews}, 23(1), 53-70.

Politis, Dimitris N., and Joseph P. Romano. (1994).
"The stationary bootstrap."
\emph{Journal of the American Statistical Association} 89.428: 1303-1313.
}
\author{
Heejoon Han, Oliver Linton, Tatsushi Oka and Yoon-Jae Whang
}
