ESTATISTICA BAYESIANA PDF

Title: Bayesian inference for the joint distribution of r-largest order statistics with change point. In some situations, EVT analyses only the block maximum of some dataset by the GEV distribution, which can provide few observations, and in those cases, it is more effective to use the joint distribution of the the r largest-order statistics. Environmental and financial time series is subject to abrupt changes in this behaviour. Change point analysis is a statistical tool used to analyze sudden changes in observations along the time series, where the parameters of the distribution has a change of regime. In this paper, we proposed a change-point model to the joint distribution of the r-largest order statistics. The parameteres of each regime and the change points are estimated under the bayesian paradigm.

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