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#' Estimating Vasicek parameters by using quantile-based estimator
#'
#' The function \code{vsk_qbe} estimates parameters in the Vasicek
#' distribution by using quantile-based estimator. It is not recommended
#' for small sample size.
#'
#' @param x A numeric vector in the (0, 1) interval that is supposed to
#' follow the Vasicek distribution
#'
#' @return A list with Vasicek parameters, namely Rho and P.
#'
#' @examples
#' vsk_qbe(vsk_rvs(1000, Rho = 0.2, P = 0.1))
#' # $Rho
#' # [1] 0.1941091
#' # $P
#' # [1] 0.1019701
vsk_qbe <- function(x) {
x_ <- stats::qnorm(x[x > 0 & x < 1 & !is.na(x)])
mu <- stats::quantile(x_, 0.50, names = FALSE)
s2 <- ((stats::quantile(x_, 0.75, names = FALSE) - mu) / stats::qnorm(0.75)) ^ 2
r_ <- s2 / (1 + s2)
p_ <- pnorm(mu / (sqrt(1 + s2)))
return(list(Rho = r_, P = p_))
}
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