Tag: probability

Probability: Theory and Examples


From Amazon: “This book is an introduction to probability theory covering laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems.”

Probability and Random Processes


From Amazon: “This book gives an introduction to probability and its many practical applications by providing a thorough, entertaining account of basic probability and important random processes, covering a range of important topics. Emphasis is on modelling rather than abstraction and there are new sections on sampling and Markov chain Monte Carlo, renewal-reward, queuing networks, stochastic calculus, and option pricing in the Black-Scholes model for financial markets. In addition, there … Continue Reading

Statistical Inference


From Amazon: “This book builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and are natural extensions and consequences of previous concepts. Intended for first-year graduate students, this book can be used for students majoring in statistics who have a solid mathematics background. It can also be … Continue Reading

Data Science Essentials


from edX: “Demand for data science talent is exploding. Develop your career as a data scientist, as you explore essential skills and principles with experts from Duke University and Microsoft. In this data science course, you will learn key concepts in data acquisition, preparation, exploration, and visualization taught alongside practical application oriented examples such as how to build a cloud data science solution using Microsoft Azure Machine Learning platform, or … Continue Reading

Statistics and Probability

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A list of courses from the Khan Academy covering the following topics: Introduction to statistics Analyzing categorical data Displaying and comparing quantitative data Summarizing quantitative data Modeling data distributions Exploring bivariate numerical data Study design Probability Counting, permutations, and combinations Random variables Sampling distributions One-sample confidence intervals One-sample z and t significance tests Two-sample inference for the difference between groups Inference for categorical data (chi-square tests) Advanced regression (inference and … Continue Reading

MIT Statistics Cheat Sheet


A long list of definitions, equations, and examples for common statistical terms and tests, including: Variance Standard Deviation & Error T-tests Chi-Square Tests Probability Distributions



From Youtube: “Videos about math, at the graduate level or upper-level undergraduate”, these videos cover topics in mathematics and statistics that are less than 15 minutes long, with narration over written text and equations. Topics include: Machine Learning Probability Primer Information Theory

Tales of Science and Data


This is an ebook written as a series of Jupyter notebooks, “intended as a collection of personally elaborated materials on Data Science. Topics span a quite large spectrum in the Data Science field: nothing will ever be fully comprehensive, but the purpose is keeping this continuously updated. Learning never ends!” Content includes: Probability & Statistics Machine Learning: Supervised Learning Unsupervised Learning Artificial Neural Networks Model Assessment Natural Language Processing Computer … Continue Reading

Data Science from Scratch: First Principles with Python


From Amazon: “Data science libraries, frameworks, modules, and toolkits are great for doing data science, but they’re also a good way to dive into the discipline without actually understanding data science. In this book, you’ll learn how many of the most fundamental data science tools and algorithms work by implementing them from scratch. If you have an aptitude for mathematics and some programming skills, author Joel Grus will help you get … Continue Reading

Introduction to Probability and Data


This is course 1 of 5 in the Statistics with R Specialization. From Coursera: “This course introduces you to sampling and exploring data, as well as basic probability theory and Bayes’ rule. You will examine various types of sampling methods, and discuss how such methods can impact the scope of inference. A variety of exploratory data analysis techniques will be covered, including numeric summary statistics and basic data visualization. You will … Continue Reading