Bayesian statistics

Think Bayes: Bayesian Statistics Made Simple

Think Bayes: Bayesian Statistics Made Simple

Think Bayes: Bayesian Statistics Made Simple, by Allen B. Downey, uses Python code instead of math, and discrete approximations instead of continuous mathematics.

Principles of Uncertainty

Principles of Uncertainty

Principles of Uncertainty, by Joseph B. Kadane, is a well-written and comprehensive introduction to theory of Bayesian statistics.