Using Bayesian approach to study robustness of classes of priors for homogeneous and nonhomogeneous Poison processes.

Talbi, Fatiha

المجلة الدولية للاداء الاقتصادي
Volume 4, Numéro 2, Pages 1-12
2021-11-03

Using Bayesian Approach To Study Robustness Of Classes Of Priors For Homogeneous And Nonhomogeneous Poison Processes.

Abstract

A Non-Homogeneous process is a process with rate parameter (t) such that this rate is a function of time. Bayesians are interested in robustness with respect to changes in prior distributions/sampling models/loss functions. In This work, we focused on replacing a single prior distribution by a class of priors of the parameters of a given Poisson processes, and developing methods of computing the range of the ensuing answers as the prior varied over the class. This approach, called “global robustness”.

Keywords

Bayesian Robustness ; Nonhomogeneous Poisson processes ; Prior Robustness ; Global Sensitivity ; Local Sensitivity

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Using Bayesian Approach To Study Robustness Of Classes Of Priors For Homogeneous And Nonhomogeneous Poison Processes.

Abstract

Keywords

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