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This textbook provides a self-contained introduction to numerical methods in probability with a focus on applications to finance. Topics covered include the Monte Carlo simulation (including simulation of random variables, variance reduction, quasi-Monte Carlo simulation, and more recent developments such as the multilevel paradigm), stochastic optimization and approximation, discretization schemes of stochastic differential equations, as well as optimal quantization methods. The author further presents detailed applications to numerical aspects of pricing and hedging of financial derivatives, risk measures (such as value-at-risk and conditional value-at-risk), implicitation of parameters, and calibration. Aimed at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study.
This is a review of world history from a Bible believer's perspective. It is designed for use by homeschoolers but anyone can learn from it.
Susie Linfield addresses the issue of whether photographs depicting past scenes of violence & cruelty are voyeuristic, arguing that if we do not look & understand that we are seeing at people, rather than depersonalised acts of inhumanity, our hopes of curbing political violence today are probably limited.
The papers contained in this volume were presented orally at the seventh POLYMODEL conference, held at Sunderland Polytechnic in the United King dom in May 1984 and sponsored by Barclays Bank PLC and Imperial Chemical Industries Ltd. The conferences are organised annually by the North East of England Polytechnic's Mathematical Modelling and Computer Simulation Group - POLYMODEL. The Group is a non-profit making organisation based on the mathematics department of the three polytechnics in the region and has membership drawn from those educational institutions and from regional industry. Its objective is to promote research and collaboration in mathematical and computer-based modelling. After ...
Deposit feeders, animals that derive nutrition from organic matter in sedimentary deposits, are dominant among the inhabitants of muds and, therefore, of the benthos of much of the ocean. In this volume the critical research problems pertaining to deposit feeders are identified and promising approaches for dealing with those problems are proposed. Interdisciplinary approaches are of utmost importance in the study of deposit feeders and their sedimentary environment, merging fields as disparate as nutritional physiology and sediment geochemistry. Among the topics presented are advances in theories of foraging and digestion, and new experimental approaches to study the potential foods, feeding behavior and physiology of animals that ingest sediment.
Estuaries, bays and contiguous coastal seas are the world's most valuable, and yet most vulnerable marine ecosystems. Fundamental to the protection and management of these important resources is an understand- ing of the physical processes involved which affect the circulation, mixing, and transport of salt, nutrients and sediment. Residual Currents and Long-Term Transport processes appear to have direct control over freshwater inflows, contaminant loadings, dispersion and transport of sediments and nutrients, and causes of declining living resources. This volume provides a comprehensive and up-to-date summary of the research results on these processes in estuaries and bays. Contributions from ten countries include results based on theoretical formulations, analyses of field data, numerical models and case studies.