电光与控制, 2009, 16 (9): 80, 网络出版: 2010-05-06
优化Bayes决策方案在导弹打靶试验评估中的应用
Application of Optimized Bayes Decision in Shooting Test Evaluation of Missiles
导弹打靶试验 Bayes方法 检出比 风险系数 验前概率 shooting test of missile Bayes method the parameter of λ risk coefficient pre-probability
摘要
分析了λ和验前概率基于Bayes决策不等式对检验准则的影响,建立试验判定区的数学模型,推导出试验判定区域S与λ的数学关系式,分析λ的取值对继续试验概率的影响。通过导弹打靶实例研究了检出比、试验次数和风险系数三者之间的关系,为小子样条件下确定最优检出比参数提供理论依据。
Abstract
In order to improve the evaluation precision of missile shooting test and reduce ammunition consumption,we put forward a method for guarantee the optimized parameters under the condition with limited times of test. Based on the Bayes decision-making inequality,the effect of the parameter λ and pre-probability on the inspection rule was analyzed. A mathematic model was established for judgement region of test,the mathematic relationship between the parameter S and λ was derived. The effect of the value of λ on continued test probability was analyzed. The correlation among the parameters of λ,times of test and risk coefficient was studied,which supplies a theoretical basis for determining the optimum parameter of λ. Simulation showed that the approach proposed is reasonable and simple to implement,which is a promising method in engineering practice.
罗艺, 杜海文, 王皓, 裴少婷. 优化Bayes决策方案在导弹打靶试验评估中的应用[J]. 电光与控制, 2009, 16(9): 80. LUO Yi, DU Haiwen, WANG Hao, PEI Shaoting. Application of Optimized Bayes Decision in Shooting Test Evaluation of Missiles[J]. Electronics Optics & Control, 2009, 16(9): 80.