  In this work, we develop a numerical technique for the optimal estimation of
the new physics (NP) couplings applicable to any collider process without any
simplifying assumptions. This approach also provides a way to measure the
quality of the NP estimates derived using standard $\chi^2$ analysis and can be
used to gauge the advantages of various modalities of collider design. We
illustrate the techniques and arguments by considering the pair production of
heavy charged fermions at an $e^+e^-$ collider.
