catastrophe reserve
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Firstly, based on the force acting on a single-particle, establish a discriminant formula of the sand threshold, and prove that the sand threshold belongs to the cusp catastrophe. Then establish the basic equation of the cusp catastrophe using coordinate transformation and catastrophe theory. Finally, while particle Reynold number and equivalend diameter are the state variables and Shields parameter is the control variables, we can obtain the model of cusp catastrophe of sand threshold, putting those variables into the basic equations of the cusp catastrophe. The model is derived from the mathematics, which has a certain mathematical theory foundation.
首先从单颗沙粒受力分析出发,建立沙床沙粒起动条件判别公式,进而证明了风沙起动属于尖点型突变;然后通过坐标变换和突变理论建立了尖点突变的基本方程;最后本文选择颗粒雷诺数和等效粒径作为控制变量,希尔兹参数作为状态变量,并把它们代入尖点突变的基本方程,经过拓扑变换得到风沙起动的尖点突变模型,并与前人的公式及实验数据进行比较。
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The cusp catastrophe theory was described. The cusp catastrophe model of seismic signal was established, and it was converted into the standard form of cusp catastrophe.
阐述了尖点突变理论,建立了地震信号尖点突变模型,并将其转化为尖点突变的标准形式。
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This study develops a whole new aspect of contingent-claim model for hedging the catastrophe risk. We describe the framework of the new hedging strategy - catastrophe swap - as detail as possible and compute the exchange amount of CAT swap contract by Monte Carlo Simulation. Last but not least, this article reveals the most powerful back-up, net cash flow and utility comparison between different strategies, to prove the practicability and favorableness of our catastrophe swap model.
本篇论文将设计一个跨期性理赔的避险模型来处理巨灾风险,於后文将会仔细地介绍这个全新的避险策略「巨灾交换契约」其模型的建构概念以及方式,并由蒙地卡罗模拟法计算出所需的交换数额,最后,针对三种不同的巨灾风险处理来进行数值分析,藉由比较其「净现金流量」和「期望效用」来验证该巨灾交换契约模型的可行性与有利性。
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catastrophe reserve:灾害准备
casualty loss;灾害损失;; | catastrophe reserve;灾害准备;; | category method;分类法;;