... his Bachelors, Masters, and PhD from MIT and Columbia.JohnJ.H. Miller is Director of INCA, the Institute for Numerical Com-putation and Analysis, in Dublin, Ireland and a Research Fellow in ... suppose ρ to be estimable and let X and Y be r.v.s with iden-tical probability distribution (i.i.d.) function. Consider N i.i.d. realizations{xi}i=1, ,N and {yi}i=1, ,N and an estimatorˆρ.Wewillhaveˆρ({xi})N→∞−→ ... X and Ythat are comonotonic. This means that we can write X = f (Z) and Y = g(Z),where f and g are monotonic functions driven by the same random riskfactor Z. Such portfolios always go up and...