Statistical distributions for probabilistic seismic hazard analysis

Authors

  • Florin kope
  • Cristian Onofrei
  • Paul Olteanu

Keywords:

seismic hazard, PSHA, binomial, geometric exponential and Poisson distributions, Poisson process, return period

Abstract

The study of statistical distributions in the context of probabilistic seismic hazard analysis (PSHA) provides a convenient support for understanding and application of PSHA specific procedures. This approach also provides a useful insight on relevant aspects of probability theory with application to seismic hazard. The geometric, exponential, binomial and Poisson distributions along with their proofs are introduced within the seismic hazard framework. These distributions represent the main tools for handling probabilistic hazard data as they are essential for assessing the probability of exceedance of the hazard parameter within a certain exposure period of structural system.

References

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HALDAR, A., MAHADEVAN, S., Probability, Reliability and Statistical Methods in Engineering Design, John Wiley & Sons, New York, 2000.

LUNGU, D., GHIOCEL, D., Metode Probabilistice in Calculul Constructiilor, Edit. Tehnic?, Bucharest, 1982.

CHONG, C.C., MENG, K.K., Principles and Techniques in Combinatorics, World Scientific Publishing, Singapore, 1992.

GUMBEL, E.J., Statistics of Extremes, Columbia University Press, Dover Publications inc., New York, 2004, 1958.

SENIOR SEISMIC STANDARD COMMITTEE (SSHAC), Recommendations for Probabilistic Seismic Hazard Analysis: Guidance on Uncertainty and Use of Experts, Electric Power Research Institute (NUREG/CR-6372), Washington, 1997.

HWEI, P.H., Probability, Random Variables and Random Processes, McGraw-Hill, New Jersey, 1997.

Published

2012-02-10