STATISTICAL-METHODS FOR INVESTIGATING QUIESCENCE AND OTHER TEMPORAL SEISMICITY PATTERNS
STATISTICAL-METHODS FOR INVESTIGATING QUIESCENCE AND OTHER TEMPORAL SEISMICITY PATTERNS
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DOI：
10.1007/bf00879003
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发表时间：
1988-01-01
影响因子：
2
通讯作者：
REASENBERG, PA
中科院分区：
文献类型：
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作者：
MATTHEWS, MV;REASENBERG, PA
我们提出了一种统计模型和技术，用于客观识别最常被引用的地震活动模式之一：微地震静止。我们使用泊松过程模型来描述地震活动性，并将具有静止的过程定义为具有特定类型的分段等强度函数的过程。从这个模型中，我们推导出一个统计量，用于测试相对于“静止”替代方案的平稳性。该统计量的大样本零分布近似于应用于布朗桥过程的适当泛函的模拟分布。我们指出了我们所提出的特定模型和一般静止思想的局限性。有许多点过程既没有恒定速率函数，也没有静态速率函数，这一事实强调了彻底测试和描述非均匀性的必要性。我们提倡将静息试验与其他各种非均匀性试验以及密度估计等图形方法结合使用。理想情况下，这些方法可以促进对地震活动时间分布的准确描述和对有趣模式的有用描述。
We propose a statistical model and a technique for objective recognition of one of the most commonly cited seismicity patterns:microearthquake quiescence. We use a Poisson process model for seismicity and define a process with quiescence as one with a particular type of piece-wise constant intensity function. From this model, we derive a statistic for testing stationarity against a ‘quiescence’ alternative. The large-sample null distribution of this statistic is approximated from simulated distributions of appropriate functionals applied to Brownian bridge processes. We point out the restrictiveness of the particular model we propose and of the quiescence idea in general. The fact that there are many point processes which have neither constant nor quiescent rate functions underscores the need to test for and describe nonuniformity thoroughly. We advocate the use of the quiescence test in conjunction with various other tests for nonuniformity and with graphical methods such as density estimation. ideally these methods may promote accurate description of temporal seismicity distributions and useful characterizations of interesting patterns.