Here’s a list of some excellent resources across various formats—books, YouTube channels, and blogs—that cover advanced statistics and probability theories:
Books:
1. “Introduction to Probability” by Dimitri P. Bertsekas and John N. Tsitsiklis
– A comprehensive introduction to probability, available for free in PDF form on MIT’s OpenCourseWare.
– [Link to PDF](https://athenasc.com/probbook.html)
2. “Think Stats” by Allen B. Downey
– This book focuses on applying statistics to real-world data, with practical examples using Python.
– [Link to PDF](https://greenteapress.com/wp/think-stats-2e/)
3. “The Elements of Statistical Learning” by Trevor Hastie, Robert Tibshirani, and Jerome Friedman
– A highly regarded book on statistical learning, offering a deep dive into many advanced topics.
– [Link to PDF](https://web.stanford.edu/~hastie/ElemStatLearn/)
4. “All of Statistics: A Concise Course in Statistical Inference” by Larry Wasserman
– A great resource that covers both basic and advanced topics in statistics.
– [Link to PDF](https://www.stat.cmu.edu/~larry/all-of-statistics/)
5. “Introduction to Statistical Thought” by Michael Lavine
– This book covers the foundations of statistical inference and is available for free online.
– [Link to PDF](https://www.math.umass.edu/~lavine/Book/book.html)
YouTube Channels:
1. MIT OpenCourseWare – Probability and Statistics
– Features lectures from MIT’s undergraduate and graduate courses, including advanced topics in probability and statistics.
– [MIT OCW YouTube Channel](https://www.youtube.com/user/MIT)
2. Khan Academy
– Although mostly known for basic statistics, Khan Academy also offers more advanced courses in probability and statistical inference.
– [Khan Academy – Probability & Statistics](https://www.youtube.com/user/khanacademy)
3. StatQuest with Josh Starmer
– Excellent channel that breaks down complex statistical concepts into easily understandable segments, including advanced topics.
– [StatQuest YouTube Channel](https://www.youtube.com/user/joshstarmer)
– While Brilliant offers paid content, their YouTube channel provides free videos covering advanced mathematical concepts, including probability and statistics.
– [Brilliant.org YouTube Channel](https://www.youtube.com/c/Brilliantorg)
5. Harvard University – STAT110 (Probability)
– Lectures from Harvard’s popular STAT110 course, taught by Professor Joe Blitzstein, covering probability theory in depth.
– [Harvard University – STAT110 YouTube Channel](https://www.youtube.com/playlist?list=PL2SOU6wwxB0v1kQTpqpuuGIjJRWJaFfeH)
Blogs and Online Courses:
1. Cross Validated (Stack Exchange)
– A Q&A site specifically for statistics, probability, and data science. It’s a great place to see advanced problems discussed in depth.
– [Cross Validated](https://stats.stackexchange.com/)
2. OpenIntro
– Offers free textbooks, labs, and resources on statistics, including advanced topics.
– [OpenIntro](https://www.openintro.org/)
3. Towards Data Science (Medium)
– A popular blog on Medium with numerous articles on advanced statistics, probability, and their applications in data science.
– [Towards Data Science](https://towardsdatascience.com/)
4. DataCamp Community
– While DataCamp offers paid courses, their blog has free articles and tutorials on advanced statistical methods.
– [DataCamp Community](https://www.datacamp.com/community)
5. Probability and Statistics EBook
– An online resource that provides detailed explanations of advanced topics in probability and statistics.
– [Probability and Statistics EBook](http://www.probabilitycourse.com/)
MOOCs and Online Lectures:
1. Coursera – Statistical Learning by Stanford University
– A free course that covers statistical learning, based on the book “The Elements of Statistical Learning.”
– [Coursera – Statistical Learning](https://www.coursera.org/learn/statistical-learning)
2. edX – Probability: The Science of Uncertainty and Data by MIT
– A free course that dives deep into probability theory and applications.
– [edX – MIT Probability Course](https://www.edx.org/course/probability-the-science-of-uncertainty-and-data)
3. Harvard Online Learning – Data Science: Probability
– Part of Harvard’s Data Science Professional Certificate, this course is available for free auditing.
– [Harvard – Data Science: Probability](https://online-learning.harvard.edu/course/data-science-probability)
These resources cover a broad range of advanced topics in probability and statistics, and they offer various levels of depth, from introductory overviews to rigorous academic treatments.
- Email me: Neil@HarwaniSytems.in
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