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Titlebook: Lévy Processes; Theory and Applicati Ole E. Barndorff-Nielsen,Sidney I. Resnick,Thomas Book 2001 Birkhäuser Boston 2001 Excel.Gaussian pro

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书目名称Lévy Processes
副标题Theory and Applicati
编辑Ole E. Barndorff-Nielsen,Sidney I. Resnick,Thomas
视频video
图书封面Titlebook: Lévy Processes; Theory and Applicati Ole E. Barndorff-Nielsen,Sidney I. Resnick,Thomas  Book 2001 Birkhäuser Boston 2001 Excel.Gaussian pro
描述.A Lévy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes. Martingales, Markov processes, and diffusions are extensions and generalizations of these processes. In the past, representatives of the Lévy class were considered most useful for applications to either Brownian motion or the Poisson process. Nowadays the need for modeling jumps, bursts, extremes and other irregular behavior of phenomena in nature and society has led to a renaissance of the theory of general Lévy processes. Researchers and practitioners in fields as diverse as physics, meteorology, statistics, insurance, and finance have rediscovered the simplicity of Lévy processes and their enormous flexibility in modeling tails, dependence and path behavior. ..This volume, with an excellent introductory preface, describes the state-of-the-art of this rapidly evolving subject with special emphasis on the non-Brownian world. Leading experts present surveys of recent developments, or focus on some most promising applications. Despite its special character, every topic is aimed at the non- specialist, keen on learning about the new exciting face o
出版日期Book 2001
关键词Excel; Gaussian process; Likelihood; Lévy process; Martingale; Stochastic processes; communication; geometr
版次1
doihttps://doi.org/10.1007/978-1-4612-0197-7
isbn_softcover978-1-4612-6657-0
isbn_ebook978-1-4612-0197-7
copyrightBirkhäuser Boston 2001
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Gaussian Processes and Local Times of Symmetric Lévy Processeshis result was obtained in 1988 by M. Barlow and J. Hawkes without requiring that the Lévy processes be symmetric. In 1992 the authors used a very different approach to obtain necessary and sufficient condition for the joint continuity of the local times of strongly symmetric Markov processes, which
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Temporal Change in Distributional Properties of Lévy Processess can have drastic temporal changes from unimodal to multimodal and from continuous and singular to absolutely continuous are given. Conditions on the distributions of Lévy processes to be unimodal at all times or to be absolutely continuous at all times are discussed.
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