Isn Info-Gaps uncertainty model superfluous in the one-dimensional case?
Answer-62: Yes, it is. The primary function of Info-Gap’s uncertainty model is to specify a one-dimensional measure of distance between the estimate û and other elements of U. So, to use it in the one dimensional case, that is when U is an interval of the real line, is utterly pointless because |u-û| can be used for this purpose. Indeed applying Info-Gap’s uncertainty model to the one dimensional case is not only utterly pointless, it is in fact counter-productive because it conceals the true facts obtained in the analysis. And yet surprisingly, Info-Gap experts do apply Info-Gap’s uncertainty model to the one dimensional case. To see what I am driving at note that if the performance function r is continuous with u, then the critical value of u — the value beyond which the performance requirement is not satisfied — is equal to one of the roots of the equation r(d,u) = r*, namely the root in U that is closest to û. If there are no such roots, then either no element of U satisfies the
