Topics include

- Distribution theory: distribution functions, densities, moment generating functions, transformations, the multivariate normal distribution, Bayes theorem, order statistics, convergence in probability and distribution, and the Δ-method.
- Statistical Inference: estimation and hypothesis testing, as well as confidence intervals and model selection, from both a frequentist and Bayesian perspective; exponential family and linear regression models, likelihood methods, and bootstrap and randomization techniques.
- Statistical decision theory: uniformly minimum variance estimators, the Cramér-Rao lower bound, uniformly most powerful tests, invariance, admissibility, and minimaxity.

The pdf version of the book. (Free!)

Buy a hard copy: Only $29.95!

Some of the data sets used in the book can be found as R objects in the file mathstat.R. Load them directly into R using the command

```
source("http://www.stat.istics.net/MathStat/mathstat.R")
```

The data sets, and where they are first mentioned:

`livepref`: Ranks of where people prefer to live, from Section 3.2.1.`smokingDeath`: Relationship of age, smoking status, and being alive, from Exercise 6.8.2.`caffeine`: Effect of caffeine on short-term memory, from Exercise 11.7.10.`shoes`: # of pair of shoes owned vs. shoes size, from Section 11.5.1.`hurricanes1`: Data on hurricane damage vs. name on a masculine/feminine scale, from Section 12.5.2.`greek`: Relationship between being in a fraternity/sorority and # of hours partying, from Section 14.8.3.`snoring`: Snoring vs. heart disease, from Exercise 14.9.7.`nl2015`: Pairwise results from the National League (baseball) in 2015, from Exercise 14.9.9.`politics`: Intent to vote vs. education and political interest, from Exercise 16.7.7.`draft69, draft69m, draft70, draft70m`: Draft lottery data for 1969 and 1970, by day and by month, from Section 17.3 and Exercise 18.5.13.`treadwear`: Comparison on two methods for measuring tread wear on tires, from Section 17.4.1.`aca`: Comparison of attitudes toward the Affordable Care Act, 'ACA' vs. 'Obamacare,' from Exercise 17.6.4.`examscores`: Relationship of hourly and final exam scores in a class, from Exercise 17.6.8.`barley`: Student's (W. S. Gosset) data on yields of barley based on seed treatment, from Exercise 18.5.2.

- Home: Stat.Istics.Net — Bringing statistics into the 20
^{th}century - Data Program: Analyze data — Histograms, scatter plots, multiple regression, chi-square tests of independence, logistic regression.
- Box models: Randomly draws tickets from a box, to see the law of averages and the central limit theorem.
- Guessing Correlations: Match correlations with scatter plots.
- Monty Hall: Win a new car!