Stochastics

The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions.

Many areas of applied mathematics call for an efficient calculus in infinite dimensions.

In seismology an earthquake source is described in terms of a fault with a particular rupture size.

The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions.

Stochastic programming - the science that provides us with tools to design and control stochastic systems with the aid of mathematical programming techniques - lies at the intersection of statistics and mathematical programming.

This book presents the main applied aspects of stochas- tic optimization in economic models.

International experts from around the globe present a rich variety of intriguing developments in time series analysis in hydrology and environmental engineering.

In this landmark set of papers, experts from around the world present the latest and most promising approaches to both the theory and practice of effective environmental management.

Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.

I became interested in Random Vibration during the preparation of my PhD dissertation, which was concerned with the seismic response of nuclear reactor cores.

This book considers some models described by means of partial dif- ferential equations and boundary conditions with chaotic stochastic disturbance.

It was noted in the preface of the book "e;Inequalities Involving Functions and Their Integrals and Derivatives"e;, Kluwer Academic Publishers, 1991, by D.

Nonlinear statistical modelling is an area of growing importance.

The thirty-one papers collected in this volume represent most of the arti- cles that I have published in the philosophy of science and related founda- tional areas of science since 1970.

The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology.

The subject of this book is probabilistic number theory.

In his essay on 'Broad on Induction and Probability' (first published in 1959, reprinted in this volume), Professor G.

This volume, the 6th volume in the DRUMS Handbook series, is part of the after- math of the successful ESPRIT project DRUMS (Defeasible Reasoning and Un- certainty Management Systems) which took place in two stages from 1989-1996.

This book contains leading survey papers on the various aspects of Abduction, both logical and numerical approaches.

This book reviews problems associated with rare events arising in a wide range of circumstances, treating such topics as how to evaluate the probability an insurance company will be bankrupted, the lifetime of a redundant system, and the waiting time in a queue.

It is well known that contemporary mathematics includes many disci- plines.

GeoENV96, the First European Conference on Geostatistics for Environmental Applications held in Lisbon, was conceived to bring together researchers, mostly from, but not limited to Europe, working on environmental issues approached by geostatistical methods.

I am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry.

Foundations of Bayesianism is an authoritative collection of papers addressing the key challenges that face the Bayesian interpretation of probability today.

Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research.

Advances in Stochastic Modelling and Data Analysis presents the most recent developments in the field, together with their applications, mainly in the areas of insurance, finance, forecasting and marketing.

This monograph is intended to be a complete treatment of the metrical the- ory of the (regular) continued fraction expansion and related representations of real numbers.

After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975).

Dynamical processes in which many timescales coexist are called dispersive.

It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century.

The book is devoted to the new trends in random evolutions and their various applications to stochastic evolutionary sytems (SES).

Quantum measurement (Le.

Every thought is a throw of dice.

The Second European Conference on Geostatistics for Environmental Ap- plications took place in Valencia, November 18-20, 1998.

In both the linguistic and the language engineering community, the creation and use of annotated text collections (or annotated corpora) is currently a hot topic.

Statistical mechanics deals with systems in which chaos and randomness reign supreme.

The present book is a monograph including some recent results of mea- sure and integration theory.

Let us assume that an observation Xi is a random variable (r.

This text is an Elementary Introduction to Stochastic Processes in discrete and continuous time with an initiation of the statistical inference.

Maximum entropy and Bayesian methods have fundamental, central roles in scientific inference, and, with the growing availability of computer power, are being successfully applied in an increasing number of applications in many disciplines.

This book is an outgrowth of ideas originating from 1.

The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics.

Statistical Analysis of Observations of Increasing Dimension is devoted to the investigation of the limit distribution of the empirical generalized variance, covariance matrices, their eigenvalues and solutions of the system of linear algebraic equations with random coefficients, which are an important function of observations in multidimensional statistical analysis.

Quantitative Sociodynamics presents a general strategy for interdisciplinary model building and its application to a quantitative description of behavioural changes based on social interaction processes.

It is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory.