Pdf (or mgf) of maximum of dependent exponential random variables ?
max of Z1, Z2, Z3, Z4
where
Z1 = |X1+X2+X3|^2 + |Y1+Y2+Y3|^2
Z2 = |X1-X2+X3|^2 + |Y1-Y2+Y3|^2
Z3 = |X1+X2-X3|^2 + |Y1+Y2-Y3|^2
Z4 = |X1-X2-X3|^2 + |Y1-Y2-Y3|^2
Xi, Yi are independent zero mean normal with...