Gaussian Inference on Certain Long-range Dependent Volatility Models PDF Download

Author: Paolo Zaffaroni
Publisher:
ISBN:
Category : Estimation theory
Languages : en
Pages : 84

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Author: Paul Doukhan
Publisher: Springer Science & Business Media
ISBN: 9780817641689
Category : Mathematics
Languages : en
Pages : 744

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The area of data analysis has been greatly affected by our computer age. For example, the issue of collecting and storing huge data sets has become quite simplified and has greatly affected such areas as finance and telecommunications. Even non-specialists try to analyze data sets and ask basic questions about their structure. One such question is whether one observes some type of invariance with respect to scale, a question that is closely related to the existence of long-range dependence in the data. This important topic of long-range dependence is the focus of this unique work, written by a number of specialists on the subject. The topics selected should give a good overview from the probabilistic and statistical perspective. Included will be articles on fractional Brownian motion, models, inequalities and limit theorems, periodic long-range dependence, parametric, semiparametric, and non-parametric estimation, long-memory stochastic volatility models, robust estimation, and prediction for long-range dependence sequences. For those graduate students and researchers who want to use the methodology and need to know the "tricks of the trade," there will be a special section called "Mathematical Techniques." Topics in the first part of the book are covered from probabilistic and statistical perspectives and include fractional Brownian motion, models, inequalities and limit theorems, periodic long-range dependence, parametric, semiparametric, and non-parametric estimation, long-memory stochastic volatility models, robust estimation, prediction for long-range dependence sequences. The reader is referred to more detailed proofs if already found in the literature. The last part of the book is devoted to applications in the areas of simulation, estimation and wavelet techniques, traffic in computer networks, econometry and finance, multifractal models, and hydrology. Diagrams and illustrations enhance the presentation. Each article begins with introductory background material and is accessible to mathematicians, a variety of practitioners, and graduate students. The work serves as a state-of-the art reference or graduate seminar text.

Author: Vladas Pipiras
Publisher: Cambridge University Press
ISBN: 1107039460
Category : Business & Economics
Languages : en
Pages : 693

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A modern and rigorous introduction to long-range dependence and self-similarity, complemented by numerous more specialized up-to-date topics in this research area.

Author: Gilles Teyssière
Publisher: Springer Science & Business Media
ISBN: 3540346252
Category : Business & Economics
Languages : en
Pages : 394

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Assembles three different strands of long memory analysis: statistical literature on the properties of, and tests for, LRD processes; mathematical literature on the stochastic processes involved; and models from economic theory providing plausible micro foundations for the occurrence of long memory in economics.

Author: Nancy Reid
Publisher: World Scientific
ISBN: 9813207876
Category : Mathematics
Languages : en
Pages : 364

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This book showcases the innovative research of Professor Skovgaard, by providing in one place a selection of his most important and influential papers. Introductions by colleagues set in context the highlights, key achievements, and impact, of each work. This book provides a survey of the field of asymptotic theory and inference as it was being pushed forward during an exceptionally fruitful time. It provides students and researchers with an overview of many aspects of the field.

Author: Quan-Hoang Vuong
Publisher: VDM Verlag
ISBN: 3639233832
Category : Finance
Languages : en
Pages : 446

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In 1986, Vietnam initiated its extensive economic reform program, known as Doi Moi, which saved the country - then in a devastating economic crisis - from a collapse. The introduction of market system has brought back substantial changes in both people's life and the national economy. Market mechanism, commercial institutions, private properties and capital goods ownership, free trade... have since come into existence. Gradually, financial markets have grown up to be a critically component of Vietnam's economic transition. This book provides some in-depth introduction and analysis of Vietnam's financial markets with emphasis on corporate debts and equity, gold and foreign exchange. It may be regarded as one of the most important contributions to the literature of Vietnam's financial economics, thus far. It contains original research results, which should benefit readers with interest in understanding the contemporary issues of Vietnam's economy, for either business or academic purposes. In addition, policy makers and international donors could also find its insights and implications useful; many of which are original and supported by empirical evidences.

Author: Jan Beran
Publisher: Springer Science & Business Media
ISBN: 3642355129
Category : Mathematics
Languages : en
Pages : 892

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Book Description
Long-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant.

Author: Donatas Surgailis
Publisher: World Scientific Publishing Company
ISBN: 1911299387
Category : Mathematics
Languages : en
Pages : 594

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Box and Jenkins (1970) made the idea of obtaining a stationary time series by differencing the given, possibly nonstationary, time series popular. Numerous time series in economics are found to have this property. Subsequently, Granger and Joyeux (1980) and Hosking (1981) found examples of time series whose fractional difference becomes a short memory process, in particular, a white noise, while the initial series has unbounded spectral density at the origin, i.e. exhibits long memory.Further examples of data following long memory were found in hydrology and in network traffic data while in finance the phenomenon of strong dependence was established by dramatic empirical success of long memory processes in modeling the volatility of the asset prices and power transforms of stock market returns.At present there is a need for a text from where an interested reader can methodically learn about some basic asymptotic theory and techniques found useful in the analysis of statistical inference procedures for long memory processes. This text makes an attempt in this direction. The authors provide in a concise style a text at the graduate level summarizing theoretical developments both for short and long memory processes and their applications to statistics. The book also contains some real data applications and mentions some unsolved inference problems for interested researchers in the field./a

Author: Ishwar V. Basawa
Publisher: IMS
ISBN: 9780940600515
Category : Mathematics
Languages : en
Pages : 370

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Author:
Publisher: Dr. Vuong Quan Hoang
ISBN:
Category :
Languages : en
Pages : 52

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