توضیحات
Written by Sheldon M. Ross, this book provides an in-depth exploration of probability models and their applications in fields such as engineering, computer science, operations research, and finance. It balances rigorous theory with practical examples, making it suitable for both students and professionals.
Key topics include:
Fundamental Probability Concepts: Sample spaces, events, conditional probability, and Bayes’ theorem.
Discrete and Continuous Random Variables: Probability distributions, expectation, variance, and moment generating functions.
Special Probability Distributions: Binomial, Poisson, geometric, uniform, exponential, and normal distributions.
Stochastic Processes: Poisson processes, Markov chains, and birth-death processes.
Applications: Queueing theory, reliability analysis, inventory models, and risk assessment.
Simulation Techniques: Using computational methods to approximate probabilities and model complex systems.
The book includes numerous examples, exercises, and case studies to illustrate how probability models are used to analyze real-world problems. It is ideal for students in mathematics, statistics, engineering, and computer science as well as practitioners seeking a solid foundation in probability modeling.
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