Exact(19)
Ptolemy divided his stars into six brightness, or magnitude, classes.
The optimal parameters for both models and all three magnitude classes are listed in Table 1.
The effect on the information rate of fitting the model separately to different magnitude classes is substantial.
This difference is seen to be 0.24, 0.42 and 1.02 for the three magnitude classes in increasing order.
Moreover, the unexplained differences in parameters of the EEPAS time and location distributions between target magnitude classes require further investigation.
To accommodate these features, the model was fitted separately to earthquakes in three different target magnitude classes over the period 2000 2009.
Similar(41)
The information rates of the PPE and EEPAS models for each magnitude class are given in Table 2.
The conditional probability of an event at each magnitude is equal to the number of events for a type category at a particular magnitude divided by the total number of events in the magnitude class (i.e. small magnitude class (VEI 2 3) - Table 2; large magnitude class (VEI 4 7) - Table 3) in the database.
This is achieved by normalising the occurrence interval for the small magnitude class (240 years) to the occurrence interval of the large magnitude class (420 years), with an assumed constant eruption rate.
This statistic is given in parenthesis in Table 2, and is seen to increase from 1.27 for the 3.95 < m < 4.45 magnitude class to 2.77 for the 4.95 < m < 9.05 magnitude class.
(Kiyosugi et al. 2015, use a separate recording function for each for each magnitude class using the Volcanic Explosivity Index).
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