Displaying similar documents to “Nonparametric Bayesian estimation and goodness of fit test.”

Estimation of random survival functions: a linear approach.

Vicente Quesada Paloma, Alfonso García Pérez (1982)

Qüestiió

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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...

Nonparametric estimation: the survival function.

Alfonso García Pérez (1984)

Trabajos de Estadística e Investigación Operativa

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The unknown survival function S(t) of a random variable T ≥ 0 is considered. First we study the properties of S(t) and then, we estimate it from a Bayesian point of view. We compare the estimator with the posterior mean and we finish giving Bayes rules for linear functions of S(t).

Nonparametric Bayes decision theory.

Sid R. Dalal (1980)

Trabajos de Estadística e Investigación Operativa

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A summary of the seminar with the same title is presented. Ferguson's fundamental work on the theory of Dirichlet processes is elucidated and their shortcomings are discussed. Some modifications are also proposed and illustrated. Some of the intrincate mathematical issues related to the definitions and the proofs are not discussed for the sake of clarity and brevity. The development related to unimodal processes, briefly mentioned in the last section, will appear as a joint work with...

Three methods for constructing reference prior distributions.

Eusebio Gómez Sánchez-Manzano, Miguel A. Gómez Villegas (1990)

Revista Matemática de la Universidad Complutense de Madrid

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Three methods are proposed for constructing reference prior densities for certain biparametric distribution families. These densities represent approximations to the Bayesian concept of noninformative distribution.

Predictive sample reuse: Discussion.

Irwin Guttman, S. James Press (1980)

Trabajos de Estadística e Investigación Operativa

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Discussion on the paper by Geisser, Seymour, Predictive sample reuse techniques for censored data, part of a round table on Bayesian and non-Bayesian conditional inference held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).

Objective Bayesian point and region estimation in location-scale models.

José M. Bernardo (2007)

SORT

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Point and region estimation may both be described as specific decision problems. In point estimation, the action space is the set of possible values of the quantity on interest; in region estimation, the action space is the set of its possible credible regions. Foundations dictate that the solution to these decision problems must depend on both the utility function and the prior distribution. Estimators intended for general use should surely be invariant under one-to-one transformations,...