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Viser: Probability Theory - An Introduction Using R
Probability Theory
An Introduction Using R
Shailaja R. Deshmukh
(2024)
CRC Press LLC
2.147,00 kr.
Denne bog er endnu ikke udgivet. Den forventes Aug 2024.
Detaljer om varen
- Hardback: 584 sider
- Udgiver: CRC Press LLC (August 2024)
- ISBN: 9781032617978
This book introduces Probability Theory with R software and explains abstract concepts in a simple and easy-to-understand way by combining theory and computation. It discusses conceptual and computational examples in detail, to provide a thorough understanding of basic techniques and develop an enjoyable read for students seeking suitable material for self-study. It illustrates fundamental concepts including fields, sigma-fields, random variables and their expectations, various modes of convergence of a sequence of random variables, laws of large numbers and the central limit theorem.
- Computational exercises based on R software are included in each Chapter
- Includes a brief introduction to the basic functions of R software for beginners in R and serves as a ready reference
- Includes Numerical computations, simulation studies, and visualizations using R software as easy tools to explain abstract concepts
- Provides multiple-choice questions for practice
- Incorporates self-explanatory R codes in every chapter
This textbook is for advanced students, professionals, and academic researchers of Statistics, Biostatistics, Economics and Mathematics.
1. Sigma Field, Borel Field and Probability Measure
2. Random Variables and Random Vectors
3. Distribution Function
4. Expectation and Characteristic Function
5. Independence
6. Almost Sure Convergence and Borel Zero-One Law
7. Convergence in Probability, in Law and in r-th Mean
8. Convergence of a Sequence of Expectations
9. Laws of Large Numbers
10. Central Limit Theorem
11. Solutions to Conceptual Exercises
12. Bibliography
13. Index
2. Random Variables and Random Vectors
3. Distribution Function
4. Expectation and Characteristic Function
5. Independence
6. Almost Sure Convergence and Borel Zero-One Law
7. Convergence in Probability, in Law and in r-th Mean
8. Convergence of a Sequence of Expectations
9. Laws of Large Numbers
10. Central Limit Theorem
11. Solutions to Conceptual Exercises
12. Bibliography
13. Index
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