A renewal process is an idealized stochastic model for events

that occur randomly in time (generically called renewals or arrivals). The basic mathematical assumption is that the times between the successive arrivals are independent and identically distributed. Renewal processes have a very rich and interesting mathematical structure and can be used as a foundation for building more realistic models. Moreover, renewal processes are often found embedded in other stochastic processes, most notably Markov chains.

- An Introduction to Probability Theory and Its Applications, Volume I. William Feller
- An Introduction to Probability Theory and Its Applications, Volume II. William Feller
- Introduction to Probability Models. Sheldon Ross
- Stochastic Processes. Sheldon Ross
- A First Course in Stochastic Processes. Samuel Karlin and Howard Taylor
- Introduction to Stochastic Processes. Erhan Çinlar
- Adventures in Stochastic Processes, Sidney I Resnick
- Probability and Random Processes. Geoffrey Grimmett and David Stritzaker
- An Introduction to Stochastic Processes. Edward PC Kao

Let no one read me who is not a mathematician

—Leonardo da Vinci