Statistics

Probability Theory & Applications

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Weakly Stationary Random Fields, Invariant Subspaces and Applications

Vidyadhar S. Mandrekar, David A. Redett
November 06, 2017

The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students,...

Measure and Probability

Siva Athreya, V. S. Sunder
October 31, 2017

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,...

Stochastic Processes: An Introduction, Third Edition

Peter Watts Jones, Peter Smith
October 16, 2017

Based on a well-established and popular course taught by the authors over many years, Stochastic Processes: An Introduction, Third Edition, discusses the modelling and analysis of random experiments, where processes evolve over time. The text begins with a review of relevant fundamental probability...

Fuzzy Analytic Hierarchy Process

Ali Emrouznejad, William Ho
September 19, 2017

This book is the first in the literature to present the state of the art and some interesting and relevant applications of the Fuzzy Analytic Hierarchy Process (FAHP). The AHP is a conceptually and mathematically simple, easily implementable, yet extremely powerful tool for group decision making...

Introduction to Functional Data Analysis

Piotr Kokoszka, Matthew Reimherr
August 09, 2017

Introduction to Functional Data Analysis provides a concise textbook introduction to the field. It explains how to analyze functional data, both at exploratory and inferential levels. It also provides a systematic and accessible exposition of the methodology and the required mathematical framework....

Stochastic Processes: An Introduction, Second Edition

Peter Watts Jones
July 27, 2017

Based on a highly popular, well-established course taught by the authors, Stochastic Processes: An Introduction, Second Edition discusses the modeling and analysis of random experiments using the theory of probability. It focuses on the way in which the results or outcomes of experiments vary and...

Statistical Simulation: Power Method Polynomials and Other Transformations

Todd C. Headrick
June 14, 2017

Although power method polynomials based on the standard normal distributions have been used in many different contexts for the past 30 years, it was not until recently that the probability density function (pdf) and cumulative distribution function (cdf) were derived and made available. Focusing on...

What Makes Variables Random: Probability for the Applied Researcher

Peter J. Veazie
May 03, 2017

What Makes Variables Random: Probability for the Applied Researcher provides an introduction to the foundations of probability that underlie the statistical analyses used in applied research. By explaining probability in terms of measure theory, it gives the applied researchers a conceptual...

Analysis of Queues: Methods and Applications

Natarajan Gautam
March 29, 2017

Written with students and professors in mind, Analysis of Queues: Methods and Applications combines coverage of classical queueing theory with recent advances in studying stochastic networks. Exploring a broad range of applications, the book contains plenty of solved problems, exercises, case...

Reliability Models for Engineers and Scientists

Mark P. Kaminskiy
March 29, 2017

A discussion of the basic reliability concepts and models, Reliability Models for Engineers and Scientists demystifies modern mathematical reliability models. Requiring very little mathematical background on the reader’s part, this concise book introduces the models by focusing on their physical...

Decision Making in Service Industries: A Practical Approach

Javier Faulin, Angel A. Juan, Scott E. Grasman, Michael J. Fry
March 29, 2017

In real-life scenarios, service management involves complex decision-making processes usually affected by random or stochastic variables. Under such uncertain conditions, the development and use of robust and flexible strategies, algorithms, and methods can provide the quantitative information...

Change-Point Analysis in Nonstationary Stochastic Models

Boris Brodsky
March 23, 2017

This book covers the development of methods for detection and estimation of changes in complex systems. These systems are generally described by nonstationary stochastic models, which comprise both static and dynamic regimes, linear and nonlinear dynamics, and constant and time-variant structures...

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