Welcome to **E-Books Directory**

This page lists freely downloadable books.

# Probability & Statistics

E-Books for free online viewing and/or download

## subcategories

**Probability** (34)

**Statistics** (47)

**Stochastic Calculus** (15)

## e-books in this category

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**Advanced Data Analysis from an Elementary Point of View**

by **Cosma Rohilla Shalizi** - **Cambridge University Press** , **2013**

This is a draft textbook on data analysis methods, intended for a one-semester course for advance undergraduate students who have already taken classes in probability, mathematical statistics, and linear regression. It began as the lecture notes.

(**3214** views)

**Introduction to Probability and Statistics Using R**

by **G. Jay Kerns** , **2010**

A textbook for an undergraduate course in probability and statistics. The prerequisites are two or three semesters of calculus and some linear algebra. Students attending the class include mathematics, engineering, and computer science majors.

(**4457** views)

**Probability and Statistics Cookbook**

by **Matthias Vallentin** - **vallentin.net** , **2012**

The cookbook contains a succinct representation of various topics in probability theory and statistics. It provides a comprehensive reference reduced to the mathematical essence, rather than aiming for elaborate explanations.

(**5386** views)

**Basic Data Analysis and More: A Guided Tour Using Python**

by **O. Melchert** - **arXiv** , **2012**

In these lecture notes, a selection of frequently required statistical tools will be introduced and illustrated. They allow to post-process data that stem from, e.g., large-scale numerical simulations (aka sequence of random experiments).

(**3207** views)

**Probability and Statistics**

- **UCLA** , **2012**

This book is developed as a free, collaborative and interactive learning environment for elementary probability and statistics education. The book blends information technology, scientific techniques and modern pedagogical concepts.

(**14058** views)

**A Minimum of Stochastics for Scientists**

by **Noel Corngold** - **Caltech** , **2009**

The book introduces students to the ideas and attitudes that underlie the statistical modeling of physical, chemical, biological systems. The text contains material the author have tried to convey to an audience composed mostly of graduate students.

(**3120** views)

**Probability, Statistics and Stochastic Processes**

by **Cosma Rohilla Shalizi** , **2001**

Contents: Probability (Probability Calculus, Random Variables, Discrete and Continuous Distributions); Statistics (Handling of Data, Sampling, Estimation, Hypothesis Testing); Stochastic Processes (Markov Processes, Continuous-Time Processes).

(**8093** views)

**CK-12 Basic Probability and Statistics: A Short Course**

by **Brenda Meery** - **CK-12.org** , **2010**

CK-12 Foundation's Basic Probability and Statisticsâ€“ A Short Course is an introduction to theoretical probability and data organization. Students learn about events, conditions, random variables, and graphs and tables that allow them to manage data.

(**9196** views)

**Introduction to Probability Theory and Statistics for Linguistics**

by **Marcus Kracht** - **UCLA** , **2005**

Contents: Basic Probability Theory (Conditional Probability, Random Variables, Limit Theorems); Elements of Statistics (Estimators, Tests, Distributions, Correlation and Covariance, Linear Regression, Markov Chains); Probabilistic Linguistics.

(**9278** views)

**Lectures on Noise Sensitivity and Percolation**

by **Christophe Garban, Jeffrey E. Steif** - **arXiv** , **2011**

The goal of this set of lectures is to combine two seemingly unrelated topics: (1) The study of Boolean functions, a field particularly active in computer science; (2) Some models in statistical physics, mostly percolation.

(**3737** views)

**Topics in Random Matrix Theory**

by **Terence Tao** , **2011**

This is a textbook for a graduate course on random matrix theory, inspired by recent developments in the subject. This text focuses on foundational topics in random matrix theory upon which the most recent work has been based.

(**4357** views)

**Think Stats: Probability and Statistics for Programmers**

by **Allen B. Downey** - **Green Tea Press** , **2011**

Think Stats is an introduction to Probability and Statistics for Python programmers. This new book emphasizes simple techniques you can use to explore real data sets and answer interesting statistical questions. Basic skills in Python are assumed.

(**10776** views)

**Statistics, Probability, and Game Theory: papers in honor of David Blackwell**

by **David Blackwell, at al.** - **IMS** , **1996**

The bulk of the articles in this volume are research articles in probability, statistics, gambling, game theory, Markov decision processes, set theory and logic, comparison of experiments, games of timing, merging of opinions, etc.

(**6103** views)

**Lectures on Probability, Statistics and Econometrics**

by **Marco Taboga** - **statlect.com** , **2010**

This e-book is organized as a website that provides access to a series of lectures on fundamentals of probability, statistics and econometrics, as well as to a number of exercises on the same topics. The level is intermediate.

(**8679** views)

**A defense of Columbo: A multilevel introduction to probabilistic reasoning**

by **G. D'Agostini** - **arXiv** , **2010**

Triggered by a recent interesting article on the too frequent incorrect use of probabilistic evidence in courts, the author introduces the basic concepts of probabilistic inference with a toy model, and discusses several important issues.

(**5808** views)

**Principles of Data Analysis**

by **Cappella Archive** - **Prasenjit Saha** , **2003**

This is a short book about the principles of data analysis. The emphasis is on why things are done rather than on exactly how to do them. If you already know something about the subject, then working through this book will deepen your understanding.

(**10302** views)

**Introduction to Randomness and Statistics**

by **Alexander K. Hartmann** - **arXiv** , **2009**

This is a practical introduction to randomness and data analysis, in particular in the context of computer simulations. At the beginning, the most basics concepts of probability are given, in particular discrete and continuous random variables.

(**7082** views)

**An Introduction to Stochastic PDEs**

by **Martin Hairer** - **arXiv** , **2009**

This text is an attempt to give a reasonably self-contained presentation of the basic theory of stochastic partial differential equations, taking for granted basic measure theory, functional analysis and probability theory, but nothing else.

(**5135** views)

**Reversible Markov Chains and Random Walks on Graphs**

by **Aldous, Fill** - **University of California, Berkeley** , **2002**

From the table of contents: General Markov Chains; Reversible Markov Chains; Hitting and Convergence Time, and Flow Rate, Parameters for Reversible Markov Chains; Special Graphs and Trees; Cover Times; Symmetric Graphs and Chains; etc.

(**5141** views)

**Markov Chains and Mixing Times**

by **D. A. Levin, Y. Peres, E. L. Wilmer** - **American Mathematical Society** , **2008**

An introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space.

(**5582** views)

**Random Matrix Models and Their Applications**

by **Pavel Bleher, Alexander Its** - **Cambridge University Press** , **2001**

The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.

(**6650** views)

**Stochastic Integration and Stochastic Differential Equations**

by **Klaus Bichteler** - **University of Texas** , **2002**

Written for graduate students of mathematics, physics, electrical engineering, and finance. The students are expected to know the basics of point set topology up to Tychonoff's theorem, general integration theory, and some functional analysis.

(**5850** views)

**Lectures on Stochastic Analysis**

by **Thomas G. Kurtz** - **University of Wisconsin** , **2007**

Covered topics: stochastic integrals with respect to general semimartingales, stochastic differential equations based on these integrals, integration with respect to Poisson measures, stochastic differential equations for general Markov processes.

(**5567** views)

**Bayesian Spectrum Analysis and Parameter Estimation**

by **G. Larry Bretthorst** - **Springer** , **1988**

This work is a research document on the application of probability theory to the parameter estimation problem. The people who will be interested in this material are physicists, economists, and engineers who have to deal with data on a daily basis.

(**7472** views)

**Design of Comparative Experiments**

by **R. A. Bailey** - **Cambridge University Press** , **2008**

This book develops a coherent framework for thinking about factors that affect experiments and their relationships, including the use of Hasse diagrams. The book is ideal for advanced undergraduate and beginning graduate courses.

(**9919** views)

**Correlation and Causality**

by **David A. Kenny** - **John Wiley & Sons Inc** , **1979**

This text is a general introduction to the topic of structural analysis. It presumes no previous acquaintance with causal analysis. It is general because it covers all the standard, as well as a few nonstandard, statistical procedures.

(**10154** views)

**Applied Nonparametric Regression**

by **Wolfgang HĂ¤rdle** - **Cambridge University Press** , **1992**

Nonparametric regression analysis has become central to economic theory. Hardle, by writing the first comprehensive and accessible book on the subject, contributed enormously to making nonparametric regression equally central to econometric practice.

(**12834** views)

**Inverse Problem Theory and Methods for Model Parameter Estimation**

by **Albert Tarantola** - **SIAM** , **2004**

The first part deals with discrete inverse problems with a finite number of parameters, while the second part deals with general inverse problems. The book for scientists and applied mathematicians facing the interpretation of experimental data.

(**9416** views)

**Non-Uniform Random Variate Generation**

by **Luc Devroye** - **Springer** , **1986**

The book on small field on the crossroads of statistics, operations research and computer science. The applications of random number generators are wide and varied. The study of non-uniform random variates is precisely the subject area of the book.

(**6137** views)

**Markov Chains and Stochastic Stability**

by **S.P. Meyn, R.L. Tweedie** - **Springer** , **2005**

The book on the theory of general state space Markov chains, and its application to time series analysis, operations research and systems and control theory. An advanced graduate text and a monograph treating the stability of Markov chains.

(**10850** views)

**Introduction Probaility and Statistics**

by **Muhammad El-Taha** , **2003**

Topics: Data Analysis; Probability; Random Variables and Discrete Distributions; Continuous Probability Distributions; Sampling Distributions; Point and Interval Estimation; Large Sample Estimation; Large-Sample Tests of Hypothesis; etc.

(**14917** views)

**Convergence of Stochastic Processes**

by **D. Pollard** - **Springer** , **1984**

Selected parts of empirical process theory, with applications to mathematical statistics. The book describes the combinatorial ideas needed to prove maximal inequalities for empirical processes indexed by classes of sets or classes of functions.

(**6234** views)

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