Probability Theory & Applications

The second edition of this authoritative text offers an in-depth treatment of all aspects of conditional expectations and probability measures and their structural analysis. However, what makes this the definitive reference on conditional measures is the author's keen ability to link theory with pra..

Counterexamples in Probability And Statistics..

Elementary Applications of Probability Theory..

In the second edition of this work, details are provided of the derivation and the performance of empirical Bayes rules for a variety of special models, and attention is given to the problem of assessing the goodness of an empirical Bayes estimator for a given set of prior data...

Extreme value theory (EVT) provides tools for assessing risk of highly unusual developments, such as financial market crashes. This book presents a synthesis of recent research, with emphasis on dependent observations. It concentrates on modern topics, such as compound Poisson approximation, process..

Fullerenes presents a unified introduction to the multidisciplinary world of fullerene nanoscience based on a single paradigm of concepts, terminology, and ideas. It uses a computational platform to embrace two distinguishing fullerene features: odd electrons and exclusive donor-acceptor abilities. ..

This book presents the state-of-the-art in new developments of the Fuzzy Analytical Hierarchy Process (FAHP). The AHP is used around the world in a variety of decision situations- government, business, industry, healthcare, and education. This book studies various fuzzy methods for dealing with the ..

Introduction to the Theory of Statistical Inference..

The material will be based on very recent advances in the theory and application of large covariance and autocovariance matrices. Technologies and methods in medical sciences, image processing, and other fields generate data where the dimension is large compared to the sample size and may also incre..

Markov Models & Optimization..

This book presents the first comprehensive and modern mathematical treatment of these mean field particle models, including refined convergence analysis on nonlinear Markov chain models. It also covers applications related to parameter estimation in hidden Markov chain models, stochastic optimizatio..

This text focuses on the simulation of stochastic processes in continuous time and their link with PDEs. It covers linear and nonlinear problems in biology, finance, geophysics, mechanics, chemistry, and other application areas. The text also thoroughly develops the problem of numerical integration ..