- 596 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
About this book
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.
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Information
Table of contents
- Cover Page
- Half-Title Page
- Title Page
- Copyright Page
- Dedication Page
- Contents
- List of Tables
- List of Figures
- Preface
- Author Biographies
- 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
- Bibliography
- Index
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Yes, you can access Probability Theory by Shailaja R. Deshmukh,Akanksha S. Kashikar in PDF and/or ePUB format, as well as other popular books in Computer Science & Statistics for Business & Economics. We have over one million books available in our catalogue for you to explore.