以下为句子列表：
英文: Combined with the prior distribution of the model parameters and water quality observation data, joint posterior probability function which stands for the distribution characters was obtained by Bayes' Theorem.
中文: 结合模型参数的先验分布和水质监测数据，通过贝叶斯定理计算获得了表征参数分布规律的联合后验概率密度函数。
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英文: Markov chain monte carlo simulation (MCMC) was taken to sample the posterior distribution to get the marginal posterior probability function of the parameters, and the statistical quantities such as the mathematic expectation were calculated.
中文: 通过马尔科夫链蒙特卡罗模拟对后验分布进行了采样，获得了参数的后验边缘概率密度，并在此基础上获得了参数的数学期望等统计量。
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