Introduction to probability models. 4th ed. (English) Zbl 0676.60002

Ross, Sheldon M.

Boston, MA etc.: Academic Press, Inc. xiv, 544 p. $ 44.50 (1989).

This is the fourth edition of the well-known book, for a review of the third, 1985-edition, see Zbl 0647.60002. The style is clear. The author does not hesitate to omit some proofs (even very important one) in order not to interrupt the chain of facts, statements and comments. In this way he tries to make the student to “think probabilistically”. There are many examples and problems throughout the text. Some computing methods are given. The best way to give some impression about the book is to list the titles of chapters:
1. Introduction to probability theory; 2. Random variables; 3. Conditional probability and conditional expectation; 4. Markov chains; 5. The exponential distribution and the Poisson process; 6. Continuous-time Markov chains; 7. Renewal theory and its applications; 8. Queueing theory; 9. Reliability theory; 10. Brownian motion and stationary processes; 11. Simulation.

Reviewer: V.Kalashnikov

MSC:

60-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory

Keywords:

Introduction to probability theory; Markov chains; Queueing theory; Reliability theory; Simulation

Citations:

Zbl 0255.60001; Zbl 0484.60001; Zbl 0647.60002