Stochastics

Introduction to the basic concepts of probability theory: independence, expectation, convergence in law and almost-sure convergence.

The Statistical Analysis of Discrete Data provides an introduction to cur- rent statistical methods for analyzing discrete response data.

This is the first half of a text for a two semester course in mathematical statistics at the senior/graduate level for those who need a strong background in statistics as an essential tool in their career.

An easy to read survey of data analysis, linear regression models and analysis of variance.

This book is designed as a text for graduate courses in stochastic processes.

The introductory statistics course presents serious pedagogical problems to the instructor.

This book is a text at the introductory graduate level, for use in the one- semester or two-quarter probability course for first-year graduate students that seems ubiquitous in departments of statistics, biostatistics, mathemat- ical sciences, applied mathematics and mathematics.

It has been a rare privilege to assemble this volume of Wassily Hoeffding's Collected Works.

Now available in paperback.

The ideas of probability are all around us.

Discrete probability theory and the theory of algorithms have become close partners over the last ten years, though the roots of this partnership go back much longer.

This book presents a selection of topics from probability theory.

This volume presents the published proceedings of the lOth International Workshop on Statistical Modelling, to be held in Innsbruck, Austria from 10 to 14 July, 1995.

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Genetics mapping, physical mapping and DNA sequencing are the three key components of the human and other genome projects.

The Athens Conference on Applied Probability and Time Series in 1995 brought together researchers from across the world.

The aim of this book is to present the mathematics underlying elementary statistical methods in as simple a manner as possible.

Artificial "e;neural networks"e; are widely used as flexible models for classification and regression applications, but questions remain about how the power of these models can be safely exploited when training data is limited.

The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993.

Recent years have witnessed a surge of activity in the field of dynamic both theory and applications.

Onishchik, A.

This monograph is a slightly revised version of my PhD thesis [86], com- pleted in the Department of Computer Science at the University of Edin- burgh in June 1988, with an additional chapter summarising more recent developments.

The 1992 Seminar on Stochastic Processes was held at the Univer- sity of Washington from March 26 to March 28, 1992.

The 1991 Seminar on Stochastic Processes was held at the University of California, Los Angeles, from March 23 through March 25, 1991.

Stochastic processes are necessary ingredients for building models of a wide variety of phenomena exhibiting time varying randomness.

During the weekend of March 16-18, 1990 the University of North Carolina at Charlotte hosted a conference on the subject of stochastic flows, as part of a Special Activity Month in the Department of Mathematics.

This book deals with estimating and testing the probability of an event.

A Levy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes.

At first there was the Markov property.

One of the most challenging subjects of stochastic analysis in relation to physics is the analysis of heat kernels on infinite dimensional manifolds.

Sampling is a fundamental topic in the engineering and physical sciences.

A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures.

The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity.

Empirical process techniques for independent data have been used for many years in statistics and probability theory.

Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc.

Given the explosion of interest in mathematical methods for solving problems in finance and trading, a great deal of research and development is taking place in universities, large brokerage firms, and in the supporting trading software industry.

Control theory has applications to a number of areas in engineering and communication theory.

Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available.

This monograph, now in a thoroughly revised second edition, offers the latest research on random sets.

Nonlinear Stochastic Processes addresses the frequently-encountered problem of incomplete information.

This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning.

Applied Data Analysis and Modeling for Energy Engineers and Scientists fills an identified gap in engineering and science education and practice for both students and practitioners.

This book explores the remarkable connections between two domains that, a priori, seem unrelated: Random matrices (together with associated random processes) and integrable systems.

This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations.

This monograph provides a complete and comprehensive introduction to the theory of long-tailed and subexponential distributions in one dimension.

This book is an expanded third edition of the book Performance Analysis of Digital Transmission Systems, originally published in 1990.

In this volume consideration was given to more advanced theoretical approaches and novel applications of reliability to ensure that topics having a futuristic impact were specifically included.