Procesos de decisión Bayesiana no paramétricos.
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,...
Nonparametric Bayesian estimation and goodness of fit test.
We first make a review of prior distributions neutral to the right, and then we get the Bayes rule for the survival function S(t) = 1 - F(t), with quadratic loss, with these prior distributions. We give, after that, the estimator with a special kind of processes neutral to the right, the homogeneous processes. We get in point four the linear Bayes rule and we give there an interpretation of the parameters. We finish with a Bayesian generalization of the Kolmogorov-Smirnov goodness of...
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