Statistics
See also: Machine learning, Boostrapping, Stats papers.
Statistics is the branch of applied mathematics that studies ways of drawing inferences from limited and imperfect data.
General Reading
 Shalizi, Cosma. “The bootstrap,” 2010. http://www.americanscientist.org/issues/pub/2010/3/thebootstrap/1.  PDF ; starts with a nice explanation of how to use observations to model datagenerating mechanism
 Discussion of how the statistics curriculum could be revised to better emphasize the most important ideas.
 Data is what matters in statistics, more than mathematical manipulation. Advice to Mathematics Teachers on Evaluating Introductory Statistics Textbooks.
 Statistical modeling: The two cultures by Leo Breiman..
 The British amateur who debunked the mathematics of happiness. This is especially funny considering how much I like Seligman’s book Willpower and started to read “Flourish”.
 The discovery of statistical regression; Nov 2015.
General books on statistics

Statistics done wrong – is a guide to the most popular statistical errors and slipups committed by scientists every day, in the lab and in peerreviewed journals. HN

The Probability and Statistics Cookbook [online; PDF available]  is a succinct representation of various topics in probability theory and statistics. It provides a comprehensive mathematical reference reduced to its essence, rather than aiming for elaborate explanations.

Multivariate Statistics: Concepts, Models, and Applications by David Stockburger
Basic textbooks
Programming books
 Think Stats: Probability and Statistics for Programmers by Allen Downey.
Programming
 Stan is a probabilistic programming language implementing full
 Bayesian statistical inference with MCMC sampling (NUTS, HMC),
 approximate Bayesian inference with Variational inference (ADVI)
 and penalized maximum likelihood estimation with Optimization (LBFGS).
Presentations / talks
 Statistics for Hackers [Sept 2015]; HN.
Visualisation / Comics
 Random: Probability, Mathematical Statistics, Stochastic Processes – “a website devoted to probability, mathematical statistics, and stochastic processes, and is intended for teachers and students of these subjects. The site consists of an integrated set of components that includes expository text, interactive web apps, data sets, biographical sketches, and an object library.”
 Why Not to Trust Statistics  Math with Bad Drawings
Courseware
 Probability and Statistics (Open + Free  April 2017 release)  Stanford Lagunita
 Probability & Statistics 
 Math 131A: Introduction to Probability and Statistics :: UC Irvine, UCI Open
 Math 131B: Introduction to Probability and Statistics :: UC Irvine, UCI Open
 Probabilistic Systems Analysis and Applied Probability  Electrical Engineering and Computer Science  MIT OpenCourseWare
 Statistics 110: Probability
 Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honorslevel classroom settings and in distance learning classes. Courses using this textbook have been articulated by the University of California for transfer of credit. The textbook contains full materials for course offerings, including expository text, examples, labs, homework, and projects.