On applied Bayesian statistics, Dr_Manhattan recommendsLambert’s A student’s guide to Bayesian Statisticsover McEarlath’s Statistical Rethinking, Kruschke’s Doing Bayesian Data Analysis, and Gelman’s Bayesian Data Analysis.
On Probability Theory, crab recommends Feller’s An Introduction to Probability Theory over Jaynes’ Probability Theory: The Logic of Science and MIT OpenCoursewar’s Introduction to Probability and Statistics.
On History of Economics, Pablo_Stafforini recommends Sandmo’s Economics Evolvingover Robbins’ A History of Economic Thought and Schumpeter’s History of Economic Analysis.
On Relativity,PeterDonis recommends Carroll’s Spacetime and Geometry over Taylor & Wheeler’s Spacetime Physics, Misner, Thorne, & Wheeler’s Gravitation, Wald’s General Relativity, and Hawking & Ellis’s The Large Scale Structure of Spacetime.
On Category Theory, adamShimi recommends Awodey’s Category Theory over Maclane’s category theory for the working mathematician.
On Econometrics Niklas Lehmann recommends Josh Angrist’s and J.S. Pischke’sMastering ’Metricsover Josh Angrist’s and J.S. Pischke’s Mostly Harmless Econometrics, Wooldridge’s Introductory Econometrics A Modern Approach, and Ökonometrie Eine Einführung (German).
(if you add another book you can reply here with a link to your comment and I’ll add it )
Up to speed fast, no integrals, very intuitive approach.
Doing Bayesian Data Analysis
This is the easiest book. If your goal is only to create simple models and you aren’t interested in understanding the details, then this is the book for you.
A Student’s Guide to Bayesian Statistics
This book has the opposite focus of the Dog book. Here the author slowly goes through the philosophy of Bayes with an intuitive mathematical approach.
Regression and Other Stories
Good if you want a slower and thorough approach where you also learn the Frequentest perspective.
Bayesian Data Analysis
The most advanced text, very math heavy, best as a second book after reading one or two of the others, unless you are already a statistician.
books added since the list was last updated -
On applied Bayesian statistics, Dr_Manhattan recommends Lambert’s A student’s guide to Bayesian Statisticsover McEarlath’s Statistical Rethinking, Kruschke’s Doing Bayesian Data Analysis, and Gelman’s Bayesian Data Analysis.
On Functional Analysis, krnsll recommends Brezis’s Functional Analysis, Sobolev Spaces and Partial Differential Equationsover Kreyszig’s and Lax’s.
On Probability Theory, crab recommends Feller’s An Introduction to Probability Theory over Jaynes’ Probability Theory: The Logic of Science and MIT OpenCoursewar’s Introduction to Probability and Statistics.
On History of Economics, Pablo_Stafforini recommends Sandmo’s Economics Evolving over Robbins’ A History of Economic Thought and Schumpeter’s History of Economic Analysis.
On Relativity, PeterDonis recommends Carroll’s Spacetime and Geometry over Taylor & Wheeler’s Spacetime Physics, Misner, Thorne, & Wheeler’s Gravitation, Wald’s General Relativity, and Hawking & Ellis’s The Large Scale Structure of Spacetime.
On Category Theory, adamShimi recommends Awodey’s Category Theory over Maclane’s category theory for the working mathematician.
On General Psycology, Jurij Fedorov recommends Larsen’s and Buss’ Personality Psychology: Domains of Knowledge about Human Nature.
On Econometrics Niklas Lehmann recommends Josh Angrist’s and J.S. Pischke’s Mastering ’Metrics over Josh Angrist’s and J.S. Pischke’s Mostly Harmless Econometrics, Wooldridge’s Introductory Econometrics A Modern Approach, and Ökonometrie Eine Einführung (German).
(if you add another book you can reply here with a link to your comment and I’ll add it )
I have written a review of the 5 most popular Applied Bayesian Statistics books
Where I recommended:
Statistical Rethinking
Up to speed fast, no integrals, very intuitive approach.
Doing Bayesian Data Analysis
This is the easiest book. If your goal is only to create simple models and you aren’t interested in understanding the details, then this is the book for you.
A Student’s Guide to Bayesian Statistics
This book has the opposite focus of the Dog book. Here the author slowly goes through the philosophy of Bayes with an intuitive mathematical approach.
Regression and Other Stories
Good if you want a slower and thorough approach where you also learn the Frequentest perspective.
Bayesian Data Analysis
The most advanced text, very math heavy, best as a second book after reading one or two of the others, unless you are already a statistician.
Thanks for the update!
The word ‘chaotic’ was an adjective I chose to describe the book’s content, rather than part of the book’s title. :)
whoops, fixed it :)