以下为句子列表：
英文: As an example, the ratios of the experimental value to the analytical value of ultimate strain of confined concrete are taken as random variables whose probability density function is estimated with the proposed method.
中文: 以约束混凝土极限应变的试验与理论预测值之比值为例，进行了概率密度函数估计。
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英文: Bayesian method is used to calculate the posterior probability density function of the parameters for the model, and then Monte Carlo method is used to sample the model for getting the estimated values of the parameters.
中文: 采用贝叶斯方法计算出模型参数的后验概率密度函数，通过蒙特卡罗方法时其进行采样来获得参数的佑计值。
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英文: From the order statistics models of system failure probability as well as the form of the probability density function of order statistics itself, it can be deduced that the system failure dependence called common cause failurecan be well reflected throug
中文: 从所建立的次序统计量模型及次序统计量的概率密度函数本身的形式可以推论，共因失效这种失效相关性完全可以通过载荷分布与强度分布这两种基本参量反映出来。
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英文: The cumulative probability distribution (CPD) and probability density function (PDF) of the magnitude of signals with noise are approximated by the cumulate percentage distribution (cpd) and percentage density (pcd) respectively by sorting and discretizin
中文: 含噪讯号强度之累积机率分布及机率密度特性，则依强度递增排序法，换算成累积百分比分布及百分比密度近似之。
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英文: The instantaneous probability density function of the virtual stochastic process is evaluated, and then the probability density function of the basic random variable is obtained by employing the independent random samples.
中文: 利用独立随机抽样的样本值，即可获取虚拟随机过程的瞬时概率密度函数，进而获得随机变量的概率密度函数估计。
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