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The Appropriate Statistical Distribution for Residuals in Seismic Attenuation Relationships | ||
| AUT Journal of Civil Engineering | ||
| مقاله 6، دوره 10، شماره 1، اردیبهشت 2026، صفحه 91-98 اصل مقاله (461.04 K) | ||
| نوع مقاله: Review Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajce.2026.24671.5942 | ||
| نویسنده | ||
| Shahin Borzoo* | ||
| Civil Engineering Department, Technical University of Buein Zahra, Buein Zahra, Qazvin, 3451745346, Iran | ||
| چکیده | ||
| The developed ground motion models are mainly based on the assumption of normality of the residuals. The extreme value distribution is a statistical distribution used in modeling rare events and extreme scenarios. In large earthquakes with a long return period, the recorded peak ground accelerations (PGAs) are large and rare, so the assumption of extreme distributions is not unexpected for these accelerations. The extreme value distribution has two conventional forms; generalized extreme value (GEV) for maximum values of blocks with the same time duration and generalized Pareto distribution (GPD) for values above a determined threshold. Due to the less recorded numbers of PGAs, using the GPD distribution in examining the extreme values of the PGAs, is more appropriate. If the GPD distribution assumption for PGA data be accepted, it is suggested to develop a seismic acceleration attenuation relationship for critical data based on the GPD distribution, and the common assumption of lognormal distribution is discarded. This article reviews the statistical distributions used in ground motion models. The results suggests that in the development of ground motion relationships, the normal distribution for residual be abandoned with a fundamental revision and the next generation of these models should be developed based on the GPD distribution. | ||
| کلیدواژهها | ||
| Ground motion attenuation models؛ Extreme value theory؛ Generalized extreme value distribution؛ Generalized Pareto distribution؛ Residuals | ||
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آمار تعداد مشاهده مقاله: 225 تعداد دریافت فایل اصل مقاله: 50 |
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