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Estimation of seismicity and network detection capability
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TLDR
In this article, the problem of estimating seismicity and the performance of a system which detects earthquakes is formulated in such a way that maximum likelihood estimation can be applied, and procedures to obtain maximum likelihood estimates of a, b, and the error function mean and variance factors are derived, discussed, and applied to experimental data to check the relevance of the theoretical development.Abstract:
: The problem of estimating seismicity and the performance of a system which detects earthquakes is formulated in such a way that maximum likelihood estimation can be applied. The mean number of earthquakes which occur in a fixed time interval is assumed to be of the form exp (a-bm) where m is magnitude and a and b are constants. The probability of detection as a function of m is taken to be an error function. Procedures to obtain maximum likelihood estimates of a, b, and the error function mean and variance factors are derived, discussed, and applied to experimental data to check the relevance of the theoretical development.read more
Citations
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Journal ArticleDOI
Seismicity and detection/location threshold in the Southern Great Basin Seismic Network
TL;DR: In this article, a spatially varying model of the detection/location capabilities of the Southern Great Basin seismic network (SGBSN) has been derived that is based on simple empirical relations and statistics.
Journal ArticleDOI
On the estimation of seismic detection thresholds
TL;DR: In this article, a maximum likelihood estimation procedure is developed for the direct method, and approximate confidence limits on the estimated detection thresholds are derived for the NORSAR array for the Japan-Kuriles-Kamchatka region.
ReportDOI
Estimation of Seismic Detection Thresholds
TL;DR: In this paper, the authors dealt with the general problem of estimating the incremental detection capability of a seismic station, i.e., the probability of detection as a function of event magnitude.
Journal ArticleDOI
Study of magnitudes, seismicity, and earthquake detectability using a global network
TL;DR: In this article, a network of 115 globally distributed stations were used to estimate the magnitude of about 70,000 earthquakes using a maximum-likelihood estimation technique and reported that the number of earthquakes worldwide of m b ≧ 4.0 averaged about 7,500 annually.
Journal ArticleDOI
Application of the bootstrap method to quantify uncertainty in seismic hazard estimates
TL;DR: In this article, a variant of the bootstrap statistical method is used to combine the uncertainty due to earthquake catalog incompleteness, earthquake magnitude, and recurrence and attenuation models used.
References
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Journal ArticleDOI
Aftershocks and microaftershocks of the great Alaska earthquake of 1964
TL;DR: A detailed investigation of microaftershocks reveals a clustering of events in space and time that is identified with small swarms or secondary aftershocks and is not readily attributed to triggering by tidal strains as mentioned in this paper.
Journal ArticleDOI
A Statistical Significance Test of the Difference in b-value between Two Earthquake Groups
TL;DR: The probability density function for the value of b in the formula logn(M)=a-bM estimated by the author's method has been obtained in an exact form as mentioned in this paper.