自己回帰過程による地震波初動の自動検測とその信頼区間

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書誌事項

タイトル別名
  • Automatic Detection of Onset Time of Seismic Waves and its Confidence Interval Using the Autoregressive Model Fitting
  • ジコ カイキ カテイ ニ ヨル ジシンハ ショドウ ノ ジドウ ケンソク ト

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抄録

Although several techniques have been proposed for a computer-based automatic detection of P and S onset times of small earthquakes, some seismologists have been felt hesitation in using such onset time data on a routine basis. This is mainly due to a lack of parameters judging precision of detected onset times. This paper aimed to introduce a new mathematical aspect for the confidence interval of onset time estimate and to apply the practical tests.<br>After the autoregressive model parameters have been estimated at two windows immediately preceding and behind P or S onset of an earthquake, the likelihood functions for the two models are defined by assuming normality of probability density function of residual time series. The log-likelihood function of the joint model, which is introduced by using of the above mentioned likelihood functions, gave a basis for onset time picking and statistical inference of a confidence interval time. P and S onset times and their 90% confidence interval were automatically estimated for more than one hundred seismograms of microearthquakes. The result made good comparisons with the manual pickings by several persons. When the signal-to-noise ratio is about 10dB, the 90% confidence interval times are estimated to be 0.2 and 0.8seconds for P and S onsets, respectively.

収録刊行物

  • 地震　第２輯

    地震　第２輯 37 (2), 281-293, 1984

    公益社団法人 日本地震学会

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