Probability Theory, Statistics and Exploratory Data Analysis

所在平台: CourseraArchive

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大学或机构: CourseraNew

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

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Exploration of Data Science requires certain background in probability and statistics. This course introduces you to the necessary sections of probability theory and statistics, guiding you from the very basics all way up to the level required for jump starting your ascent in Data Science. The core concept of the course is random variable — i.e. variable whose values are determined by random experiment. Random variables are used as a model for data generation processes we want to study. Properties of the data are deeply linked to the corresponding properties of random variables, such as expected value, variance and correlations. Dependencies between random variables are crucial factor that allows us to predict unknown quantities based on known values, which forms the basis of supervised machine learning. We begin with the notion of independent events and conditional probability, then introduce two main classes of random variables: discrete and continuous and study their properties. Finally, we learn different types of data and their connection with random variables. While introducing you to the theory, we'll pay special attention to practical aspects for working with probabilities, sampling, data analysis, and data visualization in Python. This course requires basic knowledge in Discrete mathematics (combinatorics) and calculus (derivatives, integrals).

概率论,统计和探索性数据分析:数据科学的探索要求概率和统计学具有一定的背景。本课程将向您介绍概率论和统计学的必要部分,从最基础的所有方面指导您,逐步提高您在数据科学领域的起点。 课程的核心概念是随机变量,即其值由随机实验确定的变量。随机变量用作我们要研究的数据生成过程的模型。数据的属性与随机变量的相应属性紧密相关,例如期望值,方差和相关性。随机变量之间的依赖关系是至关重要的因素,它使我们能够基于已知值预测未知量,这构成了有监督的机器学习的基础。我们从独立事件和条件概率的概念开始,然后介绍两大类随机变量:离散变量和连续变量,并研究它们的性质。最后,我们学习不同类型的数据及其与随机变量的联系。 在向您介绍该理论时,我们将特别关注在Python中使用概率,采样,数据分析和数据可视化的实践方面。 本课程要求具备离散数学(组合)和微积分(导数,积分)的基础知识。

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