Statistics and stochastic modelling applied to forest fire, finance, survival and other areas

统计和随机建模应用于森林火灾、金融、生存等领域

• 批准号: 7252-2009
• 负责人: Reed, William
• 金额: $ 1.38万
• 依托单位: University of Victoria
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=450094
• 关键词: Statistics; stochastic; modelling; applied; forest

Research is proposed in a number of areas, with applications spanning a range of disciplines. The research can be grouped under four headings: (i) statistical analysis of forest-fires past and present; (ii) applications of normal-Laplace distributions - this includes applications in medicine (survival analysis), engineering (reliability) and finance (including option pricing); (iii) modelling and analysis of phenomena with power-law tails, including statistical goodness of fit testing - applications here are widespread including complex networks with preferential attachment (e.g World Wide Web; networks of sexual partners etc.) and various size distributions such as those of biological taxa, incomes and city sizes; (iv) modelling and analysis for directional data - areas of application here include biology (directions of animal movement), meteorology (wind direction) and geology (orientation of fractures, magnetic fields etc.)

研究建议在许多领域，与跨越一系列学科的应用。 这项研究可以分为四个标题：（一）过去和现在的森林火灾的统计分析;（二）正态拉普拉斯分布的应用-这包括在医学上的应用（生存分析），工程（可靠性）和财务（包括期权定价）;（iii）对具有幂律尾部的现象进行建模和分析，包括统计拟合优度测试-这里的应用很广泛，包括具有偏好连接的复杂网络（例如万维网;性伴侣网络等）。以及各种规模分布，如生物分类群、收入和城市规模;（四）方向数据的建模和分析-这里的应用领域包括生物学（动物运动方向）、气象学（风向）和地质学（断裂方向、磁场等）。