def calc_bias_correction_abc(acceleration, total_curvature):
    """
    Calculate the bias correction constant for the approximate bootstrap
    confidence (ABC) intervals.

    Parameters
    ----------
    acceleration : 1D ndarray of scalars.
        Should contain the ABC intervals' estimated acceleration constants.
    total_curvature : 1D ndarray of scalars.
        Should denote the ABC intervals' computred total curvature values.

    Returns
    -------
    bias_correction : 1D ndarray of scalars.
        Contains the computed bias correction for the MLE estimates that the
        ABC interval is being computed for.

    References
    ----------
    Efron, Bradley, and Robert J. Tibshirani. An Introduction to the Bootstrap.
        CRC press, 1994. Section 22.6, Equation 22.40, line 1.
    """
    inner_arg = 2 * norm.cdf(acceleration) * norm.cdf(-1 * total_curvature)
    bias_correction = norm.ppf(inner_arg)
    return bias_correction