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The increase in the requirements on the reliability of units makes it necessary to analyze the relationship between mathematicalmeth ods of calculating reliability and the physical nature of fail ures. The difficulty of such an analysis is obvious. On the one hand, in making a representation of the physical picture of a phe nomenon, one can make an error in the direction of excessive sim plification. On the other hand, in the mathematical treatment of the physical scheme, it may be necessary...

This book, suitable for advanced undergraduate, graduate and research courses in such subjects as statistics, applied mathematics, operation research, computer science, different branches of engineering, business and management, economics and life sciences etc., is aimed between elementary probability texts and advanced works on stochastic processes. What distinguishes the text is the illustration of the theorems by examples and applications.

Describes aspects of the application of statistical methods in finance, and aims to attract statisticians to this area by illustrating some of the many ways in which statistical tools are used in financial applications. Statisticians will be stimulated to learn more about the kinds of models and techniques outlined in this book.

This book is a result of recent developments in several fields. Mathematicians, statisticians, finance theorists, and economists found several interconnections in their research. The emphasis was on common methods, although the applications were also interrelated. The main topic is dynamic stochastic models, in which information arrives and decisions are made sequentially. This gives rise to what finance theorists call option value, what some economists label quasi-option value. Some papers exte...

This volume is a collection of survey papers in combinatorics that have grown out of lectures given in the workshop on Probabilistic Combinatorics at the Paul Erdös Summer Research Center in Mathematics in Budapest. The papers, reflecting the many facets of modern-day combinatorics, will be appreciated by specialists and general mathematicians alike: assuming relatively little background, each paper gives a quick introduction to an active area, enabling the reader to learn about the fundamental...

This book presents the basic principles of statistics as applied in medical practice. It covers all essential topics, with worked examples and exercises drawn from nursing and research. Each chapter contains an overview, objectives, examples, exercises, and summary of critical concepts. The book has been revised and expanded to include new information on level of measurement and its role in selecting a statistical analysis, calculating standardized scores and their associated probabilities using...

Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last t...

The management and remediation of environmental data time series have always been tiresome but necessary tasks as increasingly complex meteorological and dispersion models claim more and more data inputs. Featuring a wide range of techniques for analysing and filling gaps in time series data, this book contains recent research by the Air Pollution and Environmental Fluid Dynamics Group at Marche University of Technology, Ancona. The contributions may be viewed both as tools to manage practical...

This book studies values and attitudes in the Gulf region. In light of global power shifts, the threatening collapse of internal security in the West, and uncertainty about the current leadership vacuum in world society, this book explores a future leading role of the Gulf countries in such institutions as the G-20 and the OECD. Based on rigorous analysis of macro-level data and opinion surveys with relevance for the Gulf region, it analyzes the global macro-factors shaping the Gulf's future at...