  Main result of this paper is to derive the exact analytical expressions of
information and covariance matrices for multivariate Burr III and logistic
distributions. These distributions arise as tractable parametric models in
price and income distributions, reliability, economics, populations growth and
survival data. We showed that all the calculations can be obtained from one
main moment multi dimensional integral whose expression is obtained through
some particular change of variables. Indeed, we consider that this calculus
technique for improper integral has its own importance in applied probability
calculus.
