Bayesian Statistics

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课程主页: https://www.coursera.org/archive/bayesian

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课程简介

Duke University

课程大纲

Welcome! Over the next several weeks, we will together explore Bayesian statistics.

In this module, we will work with conditional probabilities, which is the probability of event B given event A. Conditional probabilities are very important in medical decisions. By the end of the week, you will be able to solve problems using Bayes' rule, and update prior probabilities.

Please use the learning objectives and practice quiz to help you learn about Bayes' Rule, and apply what you have learned in the lab and on the quiz.

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课程详情

This course describes Bayesian statistics, in which one's inferences about parameters or hypotheses are updated as evidence accumulates. You will learn to use Bayes’ rule to transform prior probabilities into posterior probabilities, and be introduced to the underlying theory and perspective of the Bayesian paradigm. The course will apply Bayesian methods to several practical problems, to show end-to-end Bayesian analyses that move from framing the question to building models to eliciting prior probabilities to implementing in R (free statistical software) the final posterior distribution. Additionally, the course will introduce credible regions, Bayesian comparisons of means and proportions, Bayesian regression and inference using multiple models, and discussion of Bayesian prediction. We assume learners in this course have background knowledge equivalent to what is covered in the earlier three courses in this specialization: "Introduction to Probability and Data," "Inferential Statistics," and "Linear Regression and Modeling."

贝叶斯统计:此课程描述贝叶斯统计,其中随着参数的积累,有关参数或假设的推论也会更新。您将学习使用贝叶斯规则将先验概率转换为后验概率,并向您介绍贝叶斯范式的基础理论和观点。本课程将贝叶斯方法应用于几个实际问题,以展示端到端贝叶斯分析,这些分析从框架问题到构建模型,再到得出先验概率再到在R(免费统计软件)中实现最终后验分布。此外,本课程还将介绍可信区域,均值和比例的贝叶斯比较,使用多个模型的贝叶斯回归和推断以及贝叶斯预测的讨论。 我们假定本课程的学习者具有与本专业前面三门课程相同的背景知识:“概率和数据简介”,“推论统计”和“线性回归与建模”。

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