Textbooks Probability Theory: A Comprehensive Course
Book Cover for Probability Theory: A Comprehensive Course

Probability Theory: A Comprehensive Course

Achim Klenke 2nd Edition ISBN #9781447153610 259 Questions
478 Students Work From this Textbook

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Chapters

1

Basic Measure Theory

5 sections
19 questions
2

Independence

4 sections
4 questions
3

Generating Functions

3 sections
2 questions
4

The Integral

3 sections
11 questions
5

Moments and Laws of Large Numbers

5 sections
14 questions
6

Convergence Theorems

3 sections
6 questions
7

$L^{p}$-Spaces and the Radon-Nikodym Theorem

6 sections
12 questions
8

Conditional Expectations

3 sections
19 questions
9

Martingales

4 sections
8 questions
10

Optional Sampling Theorems

3 sections
2 questions
11

Martingale Convergence Theorems and Their Applications

3 sections
11 questions
12

Backwards Martingales and Exchangeability

3 sections
2 questions
13

Convergence of Measures

4 sections
29 questions
14

Probability Measures on Product Spaces

4 sections
8 questions
15

Characteristic Functions and the Central Limit Theorem

6 sections
26 questions
16

Infinitely Divisible Distributions

2 sections
7 questions
17

Markov Chains

7 sections
19 questions
18

Convergence of Markov Chains

4 sections
10 questions
19

Markov Chains and Electrical Networks

6 sections
10 questions
20

Ergodic Theory

6 sections
6 questions
21

Brownian Motion

10 sections
8 questions
22

Law of the Iterated Logarithm

3 sections
0 questions
23

Large Deviations

4 sections
8 questions
24

The Poisson Point Process

3 sections
8 questions
25

The Itô Integral

5 sections
6 questions
26

Stochastic Differential Equations

3 sections
4 questions
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