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1)  rule of minimum posterior risk
最小后验风险准则
1.
Let G_0 and G_1 be two populations having logarithmic normal distribution with parameters(μ_0,σ) and(μ_1,σ) for the life data in an experiment,the Bayesian methods of the classification problem are given in this paper according to the rule of minimum posterior risk,and a new rule is provided for the life classification.
基于寿命数据X、最小后验风险准则,给出了相应的判别分析问题的Bayes判别方法,为寿命判别制定了一个操作简便的规则。
2.
μ=μ_1(μ_1>μ_0>0) are given in this paper according to the rule of minimum posterior risk,and a new rule is provided for the life classification.
本文依据最小后验风险准则,给出了上述问题的Bayes判决方法,为寿命判别制定了一个简便操作的规则。
2)  Minimum Risk Criterion
最小风险准则
3)  minimum overall risk rule(MOR)
最小总风险准则
4)  minimum posterior risk
最小后验风险
1.
Under the type-II censoring test,making use of decision theory,fully utilizing the prior information of product,considering experimental expense and times,and combining the loss function,the decision-making scheme of minimum posterior risk for Pareto distribution is worked out.
考虑试验费用和试验时间,并结合损失函数,对分布制定了最小后验风险决策方案。
2.
This paper puts forward minimum posterior risk to choose the superior failure distribution of products based on of Bayesian decision,and then resolves the problem about how to draw up the optimal distribution model from Multi-model,especially,the method is uniform,the standard is consistent and the operation is simple compared with the traditional hypothesis test.
提出了采用Bayes决策的最小后验风险准则,来解决产品故障分布的最优拟合问题,解决了从众多的产品故障分布模型中提取最优拟合分布的难题。
5)  minimax risk decision criteria
最小最大风险决策准则
6)  empirical risk minimization principle
经验风险最小化原则
1.
Then,the definitions of the empirical risk functional,the expected risk function- al and empirical risk minimization principle about gλ samples corrupted by noise are proposed.
引入了复gλ随机变量、准范数的定义,提出了受噪声影响的复gλ样本的经验风险泛函、期望风险泛函以及经验风险最小化原则严格一致性的定义;给出并证明了受噪声影响的复gλ样本的学习理论的关键定理,为系统建立基于复gλ样本的统计学习理论奠定了理论基础。
补充资料:最小的最大后悔值准则
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性质:也称最小的最大后悔值准则,不确定型决策准则之一。在某一自然状态下,由于未采用相对的最优方案而造成的损失值,称为后悔值。大中取小准则是首先算出各方案在各种自然状态下的后悔值,并从中找出每个方案中的最大后悔值,然后取这些最大后悔值中最小的方案作为最优方案。和小中取大准则一样,这实质上也是一种保守的或悲观的决策准则,只不过两者评价标准不同而已。

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