Pishro-Nik's: Introduction to Probability, Statistics and Random Processes is a very accessible introductory probability and statistics book at a level of an undergraduate math/computer science/physics major. I have detailed my solutions to all problems in the text (this is still a work in progress), which can be found freely online on the book's website. A student solutions manual for the odd problems is available, but I believe my work on these problems can offer an alternative and sometimes more intuitive solution. Additionally, I have transcribed the entire introduction to simulation chapter into Python and have made my Jupyter notebook for this chapter available here.
- Link to PDF of book.
-
01 - Basic Concepts
-
02 - Combinatorics: Counting Methods
-
03 - Discrete Random Variables
-
04 - Continuous and Mixed Random Variables
-
05 - Joint Distributions
-
06 - Multiple Random Variables
-
07 - Limit Theorems and Convergence of Random Variables
-
08 - Statistical Inference I: Classical Methods
-
09 - Statistical Inference II: Bayesian Inference
-
10 - Introduction to Random Processes
-
11 - Some Important Random Processes
-
12 - Introduction to Simulation Using Python [Notebook]
-
13 - Recursive Methods