Estimation of random survival functions: a linear approach

In the first part of this work, a Survival function is considered which is supposed to be an Exponential Gamma Process. The main statistical and probability properties of this process and its Bayesian interpretation are considered. In the second part, the problem to estimate, from a Bayesian view point, the Survival function is considered, looking for the Bayes rule inside of the set of linear combinations of a given set of sample functions. We finish with an estimation, in the same situation like before, of the survival mean time, and the i-th moment about the origin of the Survival functio