In this paper, we present a method to formalize the uncertainty in the recording process of the intensity of seismic events, and we demonstrate the ease of handling of such an approach, calculating the distribution of a random variable related to the number of events with fixed intensity which occur in a given time period. Under the hypothesis of stationarity, we verify how adopting this new approach means changing from a simple Poisson process to a compound one. Bayesian estimates of the parameters are calculated starting from two different levels of knowledge.

BAYESIAN-APPROACH TO THE TREATMENT OF UNCERTAINTY IN SEISMIC DATA

ROTONDI R;
1993

Abstract

In this paper, we present a method to formalize the uncertainty in the recording process of the intensity of seismic events, and we demonstrate the ease of handling of such an approach, calculating the distribution of a random variable related to the number of events with fixed intensity which occur in a given time period. Under the hypothesis of stationarity, we verify how adopting this new approach means changing from a simple Poisson process to a compound one. Bayesian estimates of the parameters are calculated starting from two different levels of knowledge.
1993
Bayesian inference
compound Poisson process
Dirichlet distribution
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/356010
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