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Full Description
Play of Chance and Purpose emphasizes learning probability, statistics, and stochasticity by developing intuition and fostering imagination as a pedagogical approach. This book is meant for undergraduate and graduate students of basic sciences, applied sciences, engineering, and social sciences as an introduction to fundamental as well as advanced topics. The text has evolved out of the author's experience of teaching courses on probability, statistics, and stochastic processes at both undergraduate and graduate levels in India and the United States. Readers will get an opportunity to work on several examples from real-life applications and pursue projects and case-study analyses as capstone exercises in each chapter. Many projects involve the development of visual simulations of complex stochastic processes. This will augment the learners' comprehension of the subject and consequently train them to apply their learnings to solve hitherto unseen problems in science and engineering.
Contents
List of Tables; List of Figures; Preface; Acknowledgements; Chapter 1. Thinking in Probability; Chapter 2. Probability Distributions; Chapter 3. Discrete Time Markov Chains; Chapter 4. Continuous Time Markov Chains and Queues; Chapter 5. Statistical Experiments; Chapter 6. Prediction and Time Series Modelling; Chapter 7. Glimpses of multivariate statistics; Appendix: A Brief Tour of Matrices; Appendix: A Breeze through MATLAB; Index.
