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基于综合法的火炮方向机齿轮传动误差分析
引用本文:张毅,白亚莉,李诚人,刘文强,张继恩,郑东卫. 基于综合法的火炮方向机齿轮传动误差分析[J]. 湖南农业大学学报(自然科学版), 2016, 0(3): 41-44
作者姓名:张毅  白亚莉  李诚人  刘文强  张继恩  郑东卫
作者单位:(江汉大学 数学与计算机科学学院,湖北 武汉 430056)
摘    要:考虑了一类具有马氏调制费率的复合Poisson-Geometric过程风险模型,充分利用盈余过程的强马氏性,得到第一个预警区的一个条件矩母函数所满足的微积分方程,并进一步在两状态情形下,当理赔额的分布为指数分布时得到了第一个预警区的一个条件矩母函数的具体表达式以解释结果.需要特别指出的是,所研究模型的盈余过程不具有平稳增量性,只能充分运用盈余过程的强马氏性,研究了一类具有马氏调制费率的复合Poisson-Geometric过程风险模型的预警区问题,丰富了保险公司对预警区问题的研究,对保险公司考虑财务预警系统以及保险监管部门设计某些监管指标系统具有一定的参考指导价值.

关 键 词:概率论与数理统计  条件矩母函数  微积分方程  马氏调制  预警区  复合Poisson-Geometric风险模型

Analysis on Gear Transmission Error of Steering Mechanism of Gun Based on Integrated Method
ZHANG Yi,BAI Ya-li,LI Cheng-ren,XI Jing,ZHANG Ji-en,ZHANG Dong-wei. Analysis on Gear Transmission Error of Steering Mechanism of Gun Based on Integrated Method[J]. Journal of Hunan Agricultural University, 2016, 0(3): 41-44
Authors:ZHANG Yi  BAI Ya-li  LI Cheng-ren  XI Jing  ZHANG Ji-en  ZHANG Dong-wei
Affiliation:(School of Mathematics and Computer Science,Jianghan University,Wuhan 430056,China)
Abstract:The duration of negative surplus for compound Poisson-Geometric risk model with Markov-modulated premium rates is considered. By taking full advantage of the strong Markov property of the surplus process, an integral-differential equation of a conditional moment generating function for the first duration of negative surplus has been obtained. Under the two states model, when the claim is exponential distribution, the explicit expression of a conditional moment generating function for the first duration of negative surplus is given to illustrate the results. Particularly wish to point out, the surplus process of the research model is not stable and incremental, the strong Markov property of the surplus process can be fully used, the problem of the duration of negative surplus for compound Poisson-Geometric risk model with Markov-modulated premium rates is researched for the first time. It has enriched the insurance companies to the study of the duration of negative surplus. It has a certain reference value to consider the financial early warning system for insurance companies and to design certain supervision index system for insurance supervision department.
Keywords:probability and mathematical statistics   conditional moment generating function  integral-differential equation   Markov-modulated   Duration of negative surplus   compound Poisson-Geometric risk model
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