A Basic Course in Probability Theory - Universitext
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Published By Springer International Publishing

9783319479729, 9783319479743
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Classical Zero–One Laws, Laws of Large Numbers and Large Deviations

2016 ◽  
pp. 87-102
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Large Deviations ◽  
Laws Of Large Numbers ◽  
Large Numbers

Martingales and Stopping Times

2016 ◽  
pp. 53-74
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Stopping Times

A Historical Note on Brownian Motion

2016 ◽  
pp. 207-210
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Brownian Motion ◽  
Historical Note

Random Maps, Distribution, and Mathematical Expectation

2016 ◽  
pp. 1-23
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Mathematical Expectation ◽  
Random Maps

Weak Convergence of Probability Measures on Metric Spaces

2016 ◽  
pp. 135-157
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Weak Convergence ◽  
Metric Spaces ◽  
Probability Measures ◽  
Convergence Of Probability Measures

Independence, Conditional Expectation

2016 ◽  
pp. 25-52
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Conditional Expectation

Some Elements of the Theory of Markov Processes and Their Convergence to Equilibrium

2016 ◽  
pp. 211-223
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Markov Processes ◽  
Convergence To Equilibrium

Brownian Motion: The LIL and Some Fine-Scale Properties

2016 ◽  
pp. 179-186
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Brownian Motion ◽  
Fine Scale ◽  
Scale Properties

Kolmogorov’s Extension Theorem and Brownian Motion

2016 ◽  
pp. 167-178
Author(s):  
Rabi Bhattacharya ◽  
Edward C. Waymire
Keyword(s):  
Brownian Motion ◽  
Extension Theorem ◽  
And Brownian Motion ◽  
Kolmogorov’S Extension Theorem
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