Information and Covariance Matrices for Multivariate Burr III and Logistic distributions

Details Information and Covariance Matrices for Multivariate Burr III and Logistic distributions Information and Covariance Matrices for Multivariate Burr III and Logistic distributions

2004-04-13

arxiv.org/abs/physics/0404063v1

Physics

Data Analysis, Statistics and Probability

submitted to Communications in Statistics

Scientific paper

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.

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