Stochastic calculus has important applications to mathematical finance. This book will appeal to practitioners and students who want an elementary introduction to these areas. From the reviews: "As the preface says, βThis is a text with an attitude, and it is designed to reflect, wherever possible a
Applied Stochastic Modeling
β Scribed by Liliana Blanco-CastaΓ±eda, Viswanathan Arunachalam
- Publisher
- Springer
- Year
- 2023
- Tongue
- English
- Leaves
- 154
- Series
- Synthesis Lectures on Mathematics & Statistics
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book provides the essential theoretical tools for stochastic modeling. The authors address the most used models in applications such as Markov chains with discrete-time parameters, hidden Markov chains, Poisson processes, and birth and death processes. This book also presents specific examples with simulation methods that apply the topics to different areas of knowledge. These examples include practical applications, such as modeling the COVID-19 pandemic and animal movement modeling. This book is concise and rigorous, presenting the material in an easily accessible manner that allows readers to learn how to address and solve problems of a stochastic nature.
β¦ Table of Contents
Preface
Contents
1 Discrete-Time Markov Chain
2 Poisson Processes and Its Extensions
3 Continuous-Time Markov Chain Modeling
4 Branching Processes
5 Hidden Markov Model
Appendix A
Index
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