Statistical Inference:  Theory and Labs

Statistical Inference:  Theory and Labs is a text designed for a one-semester course in mathematical statistics for students who have already had a one-semester course in Calculus based Probability.  The book is self-contained, but moves rapidly through distributions and densities assuming that the reader has seen it before.  The book is designed for a course which is roughly two-thirds lectures, and one-third lab experiments done by students on real data sets.

Why another statistics book?

For many years, our statistical inference course at Claremont McKenna College operated ​in the usual way:  students would learn theory about maximum likelihood estimators, consistency, and the Neyman-Pearson Lemma, but would never have a chance to actually use any of what they learned on real-world problems.  That's when I decided I needed to create a course textbook where the lectures would be interspersed with lab experiments.  It worked great, and so I am happy to be sharing this book with the rest of the world.  I hope you find it useful!

Forgot your probability?

Check out my companion (also Open Access and free to download) book, Probability:  Theory and Exploration.

Open Access

The book is free to download, print, and use. 

Statistical Inference:  Theory and Labs

Mark Huber

[online pdf]

© 2020 by Mark Huber

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