Probability Theory - Deshmukh, Shailaja R.; Kashikar, Akanksha S.; - Prospero Internet Bookshop
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Probability Theory: An Introduction Using R
 
Product details:
ISBN13:9781032617978
ISBN10:1032617977
Binding:Hardback
No. of pages:596 pages
Size:234x156 mm
Weight:988 g
Language:English
Illustrations: 29 Illustrations, black & white; 29 Line drawings, black & white; 31 Tables, black & white
643
Category:

Probability Theory

An Introduction Using R
 
Edition number: 1
Publisher: Chapman and Hall
Date of Publication:
 
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Publisher's listprice:
GBP 150.00
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75 915 HUF (72 300 HUF + 5% VAT)
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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. 

Long 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.

Table 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