Probability Theory & Applications

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Elementary Probability with Applications

1st Edition

Larry Rabinowitz
October 07, 2019

Probability plays an essential role in making decisions in areas such as business, politics, and sports, among others. Professor Rabinowitz, based on many years of teaching, has created a textbook suited for classroom use as well as for self-study that is filled with hundreds of carefully chosen...

Optimization Using Evolutionary Algorithms and Metaheuristics: Applications in Engineering

1st Edition

Kaushik Kumar, J. Paulo Davim
August 27, 2019

Metaheuristic optimization is a higher-level procedure or heuristic designed to find, generate, or select a heuristic (partial search algorithm) that may provide a sufficiently good solution to an optimization problem, especially with incomplete or imperfect information or limited computation...

Riemann–Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle: with Applications to Unitary Operators in Hilbert Spaces

1st Edition

Silvestru Sever Dragomir
August 12, 2019

The main aim of this book is to present several results related to functions of unitary operators on complex Hilbert spaces obtained, by the author in a sequence of recent research papers. The fundamental tools to obtain these results are provided by some new Riemann-Stieltjes integral inequalities...

Robust Statistical Methods with R, Second Edition

2nd Edition

Jana Jurečková, Jan Picek, Martin Schindler
May 23, 2019

The second edition of Robust Statistical Methods with R provides a systematic treatment of robust procedures with an emphasis on new developments and on the computational aspects. There are many numerical examples and notes on the R environment, and the updated chapter on the multivariate model...

Introduction to Probability, Second Edition

2nd Edition

Joseph K. Blitzstein, Jessica Hwang
February 08, 2019

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...

Measure and Probability

1st Edition

Siva Athreya, V. S. Sunder
February 07, 2019

This book covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory’s outer measure approach and goes on to discuss integration and standard convergence theorems and contains an entire chapter devoted to complex measures,...

Random Circulant Matrices

1st Edition

Arup Bose, Koushik Saha
October 25, 2018

Circulant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the properties of the eigenvalues for various types of circulant matrices, such as the usual circulant, the reverse circulant, and the k-circulant when the dimension of the...

Handbook of Differential Entropy

1st Edition

Joseph Victor Michalowicz, Jonathan M. Nichols, Frank Bucholtz
September 18, 2018

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...

Algorithmics of Nonuniformity: Tools and Paradigms

1st Edition

Micha Hofri, Hosam Mahmoud
July 17, 2018

Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them. Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together to...

Large Covariance and Autocovariance Matrices

1st Edition

Arup Bose, Monika Bhattacharjee
July 03, 2018

Large Covariance and Autocovariance Matrices brings together a collection of recent results on sample covariance and autocovariance matrices in high-dimensional models and novel ideas on how to use them for statistical inference in one or more high-dimensional time series models. The prerequisites...

Patterned Random Matrices

1st Edition

Arup Bose
May 17, 2018

Large dimensional random matrices (LDRM) with specific patterns arise in econometrics, computer science, mathematics, physics, and statistics. This book provides an easy initiation to LDRM. Through a unified approach, we investigate the existence and properties of the limiting spectral distribution...

Mathematics of Keno and Lotteries

1st Edition

Mark Bollman
March 27, 2018

Mathematics of Keno and Lotteries is an elementary treatment of the mathematics, primarily probability and simple combinatorics, involved in lotteries and keno. Keno has a long history as a high-advantage, high-payoff casino game, and state lottery games such as Powerball are mathematically similar...