Probability Theory

by Laha, R. G.; Rohatgi, V. K.

• ISBN13: 9780486842301
• ISBN10: 0486842304
• Format: Paperback
• Copyright: 2020-05-13
• Publisher: Dover Pubns

Summary

This comprehensive presentation of the basic concepts of probability theory examines both classical and modern methods. The treatment emphasizes the relationship between probability theory and mathematical analysis, and it stresses applications to statistics as well as to analysis. Topics include:
• The laws of large numbers
• Distribution and characteristic functions
• The central limit problem
• Dependence
• Random variables taking values in a normed linear space
 Each chapter features worked examples in addition to problems, and bibliographical references to supplementary reading material enhance the text.
For advanced undergraduates and graduate students in mathematics.

Author Biography

V. K. Rohatgi is Professor Emeritus of Mathematics at Bowling Green University. Dover also publishes his Statistical Inference.
R. G. Laha (1930–99) was an Indian mathematician who taught at Bowling Green University from 1972 until his retirement in 1996. He was the author of several books, including Applications of Characteristic Functions (with E. Lukacs).

Table of Contents

1. Basic Concepts of Probability Theory
2. The Laws of Large Numbers
3. Distribution and Characteristic Functions
4. Some Further Results on Characteristic Functions
5. The Central Limit Problem
6. Dependence
7. Random Variables Taking Values in a Normed Linear Space
References
Some Frequently Used Symbols and Abbreviations
Author Index
Subject Index