# Probability Theory & Applications

## Probability Theory & Applications

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### Sequential Analysis: Hypothesis Testing and Changepoint Detection

Alexander Tartakovsky, Igor Nikiforov, Michele Basseville

August 27, 2014

Sequential Analysis: Hypothesis Testing and Changepoint Detection systematically develops the theory of sequential hypothesis testing and quickest changepoint detection. It also describes important applications in which theoretical results can be used efficiently. The book reviews recent...

### Introduction to Probability

Joseph K. Blitzstein, Jessica Hwang

July 24, 2014

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google...

### Data Analysis and Approximate Models: Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis

Patrick Laurie Davies

July 07, 2014

The First Detailed Account of Statistical Analysis That Treats Models as Approximations The idea of truth plays a role in both Bayesian and frequentist statistics. The Bayesian concept of coherence is based on the fact that two different models or parameter values cannot both be true. Frequentist...

### Recursive Identification and Parameter Estimation

Han-Fu Chen, Wenxiao Zhao

June 23, 2014

Recursive Identification and Parameter Estimation describes a recursive approach to solving system identification and parameter estimation problems arising from diverse areas. Supplying rigorous theoretical analysis, it presents the material and proposed algorithms in a manner that makes it easy to...

### Basic Gambling Mathematics: The Numbers Behind The Neon

Mark Bollman

June 13, 2014

Understand the Math Underlying Some of Your Favorite Gambling Games Basic Gambling Mathematics: The Numbers Behind the Neon explains the mathematics involved in analyzing games of chance, including casino games, horse racing, and lotteries. The book helps readers understand the mathematical...

### Statistics in Action: A Canadian Outlook

Jerald F. Lawless

March 03, 2014

Commissioned by the Statistical Society of Canada (SSC), Statistics in Action: A Canadian Outlook helps both general readers and users of statistics better appreciate the scope and importance of statistics. It presents the ways in which statistics is used while highlighting key contributions that...

### The Dynamics of Discrete Populations and Series of Events

Keith Iain Hopcraft, Eric Jakeman, Kevin D. Ridley

January 17, 2014

Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviours. However, the characterisation of these discrete phenomena requires models that go beyond those featured in existing books. Largely...

### Handbook of Differential Entropy

Joseph Victor Michalowicz, Jonathan M. Nichols, Frank Bucholtz

November 14, 2013

One of the main issues in communications theory is measuring the ultimate data compression possible using the concept of entropy. While differential entropy may seem to be a simple extension of the discrete case, it is a more complex measure that often requires a more careful treatment. Handbook of...

### Stationary Stochastic Processes for Scientists and Engineers

Georg Lindgren, Holger Rootzen, Maria Sandsten

October 11, 2013

Stochastic processes are indispensable tools for development and research in signal and image processing, automatic control, oceanography, structural reliability, environmetrics, climatology, econometrics, and many other areas of science and engineering. Suitable for a one-semester course,...

### Applied Stochastic Processes

Ming Liao

July 22, 2013

Applied Stochastic Processes presents a concise, graduate-level treatment of the subject, emphasizing applications and practical computation. It also establishes the complete mathematical theory in an accessible way. After reviewing basic probability, the text covers Poisson processes, renewal...

### Mean Field Simulation for Monte Carlo Integration

Pierre Del Moral

May 20, 2013

In the last three decades, there has been a dramatic increase in the use of interacting particle methods as a powerful tool in real-world applications of Monte Carlo simulation in computational physics, population biology, computer sciences, and statistical machine learning. Ideally suited to...

### Statistical Theory: A Concise Introduction

Felix Abramovich, Ya'acov Ritov

April 25, 2013

Designed for a one-semester advanced undergraduate or graduate course, Statistical Theory: A Concise Introduction clearly explains the underlying ideas and principles of major statistical concepts, including parameter estimation, confidence intervals, hypothesis testing, asymptotic analysis,...

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