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Titlebook: Heavy-Tailed Distributions in Disaster Analysis; V. Pisarenko,M. Rodkin Book 2010 Springer Science+Business Media B.V. 2010 Analysis.Earth

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书目名称Heavy-Tailed Distributions in Disaster Analysis
编辑V. Pisarenko,M. Rodkin
视频video
概述Mathematical evidence of non-robustness of Mmax parameter are presented.Robust analog of Mmax is presented.Evidence in support of possible realization of sustainable development is presented.Distribut
丛书名称Advances in Natural and Technological Hazards Research
图书封面Titlebook: Heavy-Tailed Distributions in Disaster Analysis;  V. Pisarenko,M. Rodkin Book 2010 Springer Science+Business Media B.V. 2010 Analysis.Earth
描述.Mathematically, natural disasters of all types are characterized by heavy tailed distributions. The analysis of such distributions with common methods, such as averages and dispersions, can therefore lead to erroneous conclusions. The statistical methods described in this book avoid such pitfalls. Seismic disasters are studied, primarily thanks to the availability of an ample statistical database. New approaches are presented to seismic risk estimation and forecasting the damage caused by earthquakes, ranging from typical, moderate events to very rare, extreme disasters. Analysis of these latter events is based on the limit theorems of probability and the duality of the generalized Pareto distribution and generalized extreme value distribution. It is shown that the parameter most widely used to estimate seismic risk – Mmax, the maximum possible earthquake value – is potentially non-robust. Robust analogues of this parameter are suggested and calculated for some seismic catalogues. Trends in the costs inferred by damage from natural disasters as related to changing social and economic situations are examined for different regions. ..The results obtained argue for sustainable develo
出版日期Book 2010
关键词Analysis; Earthquake; Earthquakes; Hazards; Mmax-values; Natural disaster; Natural hazards and society; Rar
版次1
doihttps://doi.org/10.1007/978-90-481-9171-0
isbn_softcover978-94-007-3285-8
isbn_ebook978-90-481-9171-0Series ISSN 1878-9897 Series E-ISSN 2213-6959
issn_series 1878-9897
copyrightSpringer Science+Business Media B.V. 2010
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V. Pisarenko,M. Rodkinis Nb.. a(q) whilst that for incoherent scattering is Nb.., provided the scattering is perfectly elastic (see, for example, Bacon (1962)), a(q) here is defined in the usual way as the expectation value of N S(q) S*(q) where.N is the number of scatterers, q is a wave number and r.refers to the positions of the nuclei.
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Estimating the Uppermost Tail of a Distribution,nstable parameter we suggest a more stable and robust characteristic: the quantile of confidence level . of the random maximum magnitude in a future time interval ., which we shall call the .maximum. We shall set down methods for practical estimation of such quantiles. Also, some related problems of seismic risk assessment are discussed.
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Relationship Between Earthquake Losses and Social and Economic Situation,d on the use of means and variances, which is incorrect for the case of heavy-tailed distributions typical of death toll and economic loss from natural disasters. The application of statistically correct approaches affects the prediction essentially.
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V. Pisarenko,M. Rodkin the immense range ofreading potential applications of silicon carbide. It isessential for scientists, engineers and students interestedin electronic materials,high-speed heterojunction devices,and high-temperature optoelectronics.978-3-642-84806-3978-3-642-84804-9Series ISSN 0930-8989 Series E-ISSN 1867-4941
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V. Pisarenko,M. Rodkincattered wave from each surrounding atom .. Hence, while this part of the spectrum provides information about the pair correlation function, the first one contains information about higher order distribution functions by MS pathways which begin and end at the absorbing atom.
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