**Probability Theory**

by Curtis T. McMullen

**Publisher**: Harvard University 2011**Number of pages**: 98

**Description**:

Contents: The Sample Space; Elements of Combinatorial Analysis; Random Walks; Combinations of Events; Conditional Probability; The Binomial and Poisson Distributions; Normal Approximation; Unlimited Sequences of Bernoulli Trials; Random Variables and Expectation; Law of Large Numbers; Integral-Valued Variables. Generating Functions; Random Walk and Ruin Problems; The Exponential and the Uniform Density; Special Densities.

Download or read it online for free here:

**Download link**

(630KB, PDF)

## Similar books

**Discrete Distributions**

by

**Leif Mejlbro**-

**BookBoon**

From the table of contents: Some theoretical background; The binomial distribution; The Poisson distribution; The geometric distribution; The Pascal distribution; The negative binomial distribution; The hypergeometric distribution.

(

**7671**views)

**Extracting Information from Random Data**

by

**Pawel J. Szablowski**-

**arXiv**

We formulate conditions for convergence of Laws of Large Numbers and show its links with of parts mathematical analysis such as summation theory, convergence of orthogonal series. We present also various applications of Law of Large Numbers.

(

**532**views)

**Radically Elementary Probability Theory**

by

**Edward Nelson**-

**Princeton University Press**

In this book Nelson develops a new approach to probability theory that is just as powerful as but much simpler than conventional Kolmogorov-style probability theory used throughout mathematics for most of the 20th century.

(

**11644**views)

**Recent Progress on the Random Conductance Model**

by

**Marek Biskup**-

**arXiv**

Recent progress on understanding of the Random Conductance Model is reviewed and commented. A particular emphasis is on the results on the scaling limit of the random walk among random conductances for almost every realization of the environment.

(

**4166**views)