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#' @title TSNANNearestNeighborPropagation
#'
#' @description
#'
#' TSNANNearestNeighborPropagation is a function that fills NA values with nearest real values in the past ( or future if the first position of time series is NA), for time series \code{X}.
#'
#'
#'@param X is a T-by-D matrix numerical time series
#'
#'@return This function returns a list of following relation variables below.
#'
#'\item{Xout}{ is a T-by-D matrix numerical time series that all NAN have been filled with nearest real values.}
#'
#'@examples
#' # Load example data
#'
#' z<-1:20
#' z[2:5]<-NA
#' z<-TSNANNearestNeighborPropagation(z)
#'
#'@export
#'
TSNANNearestNeighborPropagation<-function(X)
{
if(sum(is.na(X) ) == 0)
return(X)
lengthL<-length(X)
t<-1
if(is.na(X[1]) )
{
for(k in seq(2,lengthL))
{
if(!is.na(X[k]))
{
X[1:(k-1)]<-X[k]
t<-k
break;
}
}
}
for(k in seq(t+1,lengthL))
{
if(is.na(X[k]) )
{
X[k]<-X[k-1]
}
}
Xout<-X
return(Xout)
}
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