The random field characteristics of earthquake occurrence is studied, the random field of earthquake occurrence is defined according to basic concepts of random field, and expectations of the random field are discusse...The random field characteristics of earthquake occurrence is studied, the random field of earthquake occurrence is defined according to basic concepts of random field, and expectations of the random field are discussed. It is proved that this random field is inhomogeneous. The average of the random field can not be estimated from the spatial-distribution average. So, in order to overcome this shortcoming, and assistant random field is introduced.This assistant random filed is homogenous and ergodic. The average of this random field can be evaluated from spatial-distribution average. On the basis of these results, earthquake occurrence rate adopted by Chinese Seismic Zoning Map(1990 version) are tested by using recent 15 years data and recent 50 years data.展开更多
文摘The random field characteristics of earthquake occurrence is studied, the random field of earthquake occurrence is defined according to basic concepts of random field, and expectations of the random field are discussed. It is proved that this random field is inhomogeneous. The average of the random field can not be estimated from the spatial-distribution average. So, in order to overcome this shortcoming, and assistant random field is introduced.This assistant random filed is homogenous and ergodic. The average of this random field can be evaluated from spatial-distribution average. On the basis of these results, earthquake occurrence rate adopted by Chinese Seismic Zoning Map(1990 version) are tested by using recent 15 years data and recent 50 years data.