Bayesian Statistics: From Concept to Data Analysis

开始时间: 04/22/2022 持续时间: Unknown

所在平台: CourseraArchive

课程类别: 数学

大学或机构: CourseraNew

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

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课程详情

This course introduces the Bayesian approach to statistics, starting with the concept of probability and moving to the analysis of data. We will learn about the philosophy of the Bayesian approach as well as how to implement it for common types of data. We will compare the Bayesian approach to the more commonly-taught Frequentist approach, and see some of the benefits of the Bayesian approach. In particular, the Bayesian approach allows for better accounting of uncertainty, results that have more intuitive and interpretable meaning, and more explicit statements of assumptions. This course combines lecture videos, computer demonstrations, readings, exercises, and discussion boards to create an active learning experience. For computing, you have the choice of using Microsoft Excel or the open-source, freely available statistical package R, with equivalent content for both options. The lectures provide some of the basic mathematical development as well as explanations of philosophy and interpretation. Completion of this course will give you an understanding of the concepts of the Bayesian approach, understanding the key differences between Bayesian and Frequentist approaches, and the ability to do basic data analyses.

贝叶斯统计:从概念到数据分析:本课程介绍贝叶斯统计方法,从概率概念开始,然后转向数据分析。我们将学习贝叶斯方法的原理以及如何针对常见数据类型实施该方法。我们将贝叶斯方法与更常用的频率论方法进行比较,并看到贝叶斯方法的一些好处。尤其是,贝叶斯方法可以更好地说明不确定性,具有更直观和可解释含义的结果以及更明确的假设陈述。该课程结合了讲座视频,计算机演示,阅读,练习和讨论板,以创造积极的学习体验。对于计算,您可以选择使用Microsoft Excel或免费提供的开源统计包R,并且两个选项的内容均相同。讲座提供一些基本的数学发展以及对哲学和解释的解释。完成本课程后,您将了解贝叶斯方法的概念,贝叶斯方法和频率方法之间的主要区别以及进行基本数据分析的能力。

课程大纲

In this module, we review the basics of probability and Bayes’ theorem. In Lesson 1, we introduce the different paradigms or definitions of probability and discuss why probability provides a coherent framework for dealing with uncertainty. In Lesson 2, we review the rules of conditional probability and introduce Bayes’ theorem. Lesson 3 reviews common probability distributions for discrete and continuous random variables.

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课程简介

This course introduces the Bayesian approach to statistics, starting with the concept of probability

课程标签

贝叶斯统计

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