This is the basis for Gleser & Hwang's theorem on the non-existence of
finite confidence intervals in errors - in - variables models.
The underlying problem with trying to make reconstructions with
finite confidence intervals from the present roster of proxies is the inconsistency of the «proxies,» a point noted in McIntyre and McKitrick (PNAS 2009) in connection with Mann et al 2008 (but applies to other studies as well) as follows:
Not exact matches
Then, the performance of the estimated asymptotic
confidence interval is evaluated in
finite samples from the stationary AR (1) and ARMA (1,1) through Monte - Carlo simulations by computing two statistical criteria: (a) the actual
confidence level, (b) the expected half - length as percentage of the true value of the percentile.