Probability Theory
An Introduction Using R
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Product details:
- Edition number 1
- Publisher Chapman and Hall
- Date of Publication 6 August 2024
- ISBN 9781032617978
- Binding Hardback
- No. of pages596 pages
- Size 234x156 mm
- Weight 988 g
- Language English
- Illustrations 29 Illustrations, black & white; 29 Line drawings, black & white; 31 Tables, black & white 635
Categories
Short description:
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.
MoreLong description:
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.
MoreTable of Contents:
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
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