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Because the MCMC method is efficient in dealing with problems of high dimension, likelihood function and posterior distribution. In this paper, we will estimate parameters in models by MCMC method.

由于MCMC方法在解决SV模型中的高维分布参数估计以及求解似然函数和后验分布都更加有效,因此本文利用MCMC方法估计模型中的参数。

At the second stage of Bayesian theory, in which prior information and likelihood function should be combined to get posterior distribution, we propose a method of probabilistic analysis using weighting matrix.

为了得到加入先验信息的后验分布,本文提出了使用加权矩阵的概率分析法,该方法在模型空间直接引入地质信息,对噪声引起的反演多解性有很强的约束效果。

In PS ALT, we obtain the Bayesian estimation of each parameter and marginal posterior density when the prior density of shape parameter is continuous using Laplace method under CE model.

在序加试验下,对于逆幂律模型,给出了参数的Bayes统计分析,并利用Laplace方法解决了分布的形状参数取为连续先验时各参数的Bayes估计和参数后验边际密度。

The algorithm uses posterior information to modify model's noise variance and markov transition matrix, so as to make IMM have adaptive ability.

该算法采用后验信息修正模型的噪声方差和马尔可夫转移矩阵,使IMM具有自适应能力。

A new model based on the hierarchical MRFhalf tree model is proposed for only one image can be obtained in image segmentation, whose MPM (maximizer of the posterior marginals) algorithm is inferred too.

针对图像分割问题中观测数据有限的情况,提出了一种新的基于离散分层MRF的半树模型,推导出了它的最大后验边缘概率算法。

In this paper, a new region-determined half tree hierarchical MRF model is proposed and its region-determined maximizer of the posteriori marginals algorithm is inferred.

本文提出一种新的基于区域确定的半树分层 MRF 算法,并推导出它的最大后验边缘概率(Maximizer of the posteriori marginal, MPM)算法。

According to the auditory tests, this paper proposes a new nonlinear sub-band Maximum A Posterioristatistical matching algorithm based on the independent sub-band analysis.

该文以听觉试验为基础,提出一种新的非线性独立子带隐马尔可夫模型最大后验统计匹配算法。

In Chapter 6,the adaptive finite element method for a parabolic problem isextended to the problem with the Neumann boundary as its theoretic supplement.

第六章作为对抛物问题的自适应有限元方法理论上的补充,将其推广到具有Neumann边界条件的抛物问题,得到了相应的后验误差估计。

Using the prior knowledge of endmembers' coexistence, combined with the normal distribution function of endmembers' spectra, the optimal endmembers set was selected based on maximal liklihood.

在获得端元共存的先验知识基础上,结合端元光谱的正态分布函数,通过最大后验概率得到最佳的端元集合。

Chapter 4 is the central part of this dissertation, where the bayes bilateral integrated moment is established on the base of Bayes theory, downside risk and upside potential. According to the variation coefficient which is based on the M-V approach, we substitute lower partial moment for the numerator of variation coefficient, and use higher partial moment as the substitute of the denominator, then we got bilateral integrated moment. Subsequently, through Bayes method we can absorb new information, revise the return distribution from transcendental distribution to posterior distribution, so we got bayes bilateral integrated moment.

第四章是本文的核心部分,在简要介绍Bayes理论、下方风险和上行潜能的基础上,仿照来源于Markowitz的均值——方差理论的变异系数方法,以下偏矩取代其分子部分,以上行潜能取代其分母部分,设计了双侧综合矩方法,接着再引入Bayes方法,吸纳新信息,采用后验概率,设计了Bayes双侧综合矩方法,并在理论上说明了新方法的优越性。

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