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Probabilistic model to forecast earthquakes in the Zemmouri (Algeria) seismoactive area on the basis of moment magnitude scale distribution functions
Authors:Kamel Baddari  Said Makdeche  Fouzi Bellalem
Institution:1. Laboratory of Physics of the Earth UMBB, Boumerdes, Algeria
2. Department of Mathematics UMBB, Laboratory LIMOSE UMBB, Boumerdes, Algeria
3. Research Center in Astronomy, Astrophysics and Geophysics (CRAAG), Algiers, Algeria
Abstract:Based on the moment magnitude scale, a probabilistic model was developed to predict the occurrences of strong earthquakes in the seismoactive area of Zemmouri, Algeria. Firstly, the distributions of earthquake magnitudes M i were described using the distribution function F 0(m), which adjusts the magnitudes considered as independent random variables. Secondly, the obtained result, i.e., the distribution function F 0(m) of the variables M i was used to deduce the distribution functions G(x) and H(y) of the variables Y i = Log M 0,i and Z i = M 0,i , where (Y i ) i and (Z i ) i are independent. Thirdly, some forecast for moments of the future earthquakes in the studied area is given.
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