#' Function nginar
#'
#' Fit in inar model to a univariate time series by yule-walker method
#'
#' @param x a numeric vector or time series.
#' @param order.max the integer component p is the INAR order.
#' @param mu the mean of the geometric distribution.
#'
#'@return
#'
#'@examples
#'
#'data(sexoffences)
#'mean(sexoffences)
#'var(sexoffences)
#'nginar(sexoffences)
#'
#' @export
nginar <-
function(x, order.max = 1,series=NULL)
{
if (is.null(series))
series <- deparse(substitute(x))
xfreq <- frequency(x)
n <- length(x)
r <- acf(x, plot = FALSE)$acf[2:(order.max+1)]
R <- diag(order.max)
for(i in 1:order.max){
for(j in 1:order.max){
if(i!=j){
R[i,j] <- r[abs(i-j)]
}
}
}
coef <- round(solve(R, r), 4)
mubar <- mean(x)
res <- list(order = order.max, ar = coef, var.pred = mubar,
x.mean = mubar, bic= NULL, aicc= NULL,aic = NULL, n.used = n, order.max = order.max,
partialacf = NULL, resid = NULL, method = "yule-walker", series = series,
frequency = xfreq, call = match.call())
class(res) <- "ar"
res
}
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