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Spatial Aggregation of Local Likelihood Estimates with Applications to Classification

Spatial Aggregation of Local Likelihood Estimates with Applications to Classification
Author:
Publisher:
Total Pages:
Release: 2006
Genre:
ISBN:

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This paper presents a new method for spatially adaptive local likelihood estimation which applies to a broad class of nonparametric models, including the Gaussian, Poisson and binary response models. The main idea of the method is given a sequence of local likelihood estimates ("weak" estimates), to construct a new aggregated estimate whose pointwise risk is of order of the smallest risk among all "weak" estimates. We also propose a new approach towards selecting the parameters of the procedure by providing the prescribed behavior of the resulting estimate in the simple parametric situation. We establish a number of important theoretical results concerning the optimality of the aggregated estimate. In particular, our "oracle" results claims that its risk is up to some logarithmic multiplier equal to the smallest risk for the given family of estimates. The performance of the procedure is illustrated by application to the classification problem. A numerical study demonstrates its nice performance in simulated and real life examples. -- adaptive weights ; local likelihood ; exponential family ; classification


Applied Quantitative Finance

Applied Quantitative Finance
Author: Wolfgang Karl Härdle
Publisher: Springer Science & Business Media
Total Pages: 452
Release: 2008-08-26
Genre: Mathematics
ISBN: 3540691790

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Recent years have witnessed a growing importance of quantitative methods in both financial research and industry. This development requires the use of advanced techniques on a theoretical and applied level, especially when it comes to the quantification of risk and the valuation of modern financial products. Applied Quantitative Finance (2nd edition) provides a comprehensive and state-of-the-art treatment of cutting-edge topics and methods. It provides solutions to and presents theoretical developments in many practical problems such as risk management, pricing of credit derivatives, quantification of volatility and copula modelling. The synthesis of theory and practice supported by computational tools is reflected in the selection of topics as well as in a finely tuned balance of scientific contributions on practical implementation and theoretical concepts. This linkage between theory and practice offers theoreticians insights into considerations of applicability and, vice versa, provides practitioners comfortable access to new techniques in quantitative finance. Themes that are dominant in current research and which are presented in this book include among others the valuation of Collaterized Debt Obligations (CDOs), the high-frequency analysis of market liquidity, the pricing of Bermuda options and realized volatility. All Quantlets for the calculation of the given examples are downloadable from the Springer web pages.


Handbook of Data Visualization

Handbook of Data Visualization
Author: Chun-houh Chen
Publisher: Springer Science & Business Media
Total Pages: 932
Release: 2007-12-18
Genre: Computers
ISBN: 3540330372

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Visualizing the data is an essential part of any data analysis. Modern computing developments have led to big improvements in graphic capabilities and there are many new possibilities for data displays. This book gives an overview of modern data visualization methods, both in theory and practice. It details modern graphical tools such as mosaic plots, parallel coordinate plots, and linked views. Coverage also examines graphical methodology for particular areas of statistics, for example Bayesian analysis, genomic data and cluster analysis, as well software for graphics.


Adaptive Estimation Via Martingales

Adaptive Estimation Via Martingales
Author: Stanford University. Department of Statistics
Publisher:
Total Pages: 16
Release: 1992
Genre:
ISBN:

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Estimation of Spatial Panels

Estimation of Spatial Panels
Author: Lung-fei Lee
Publisher: Now Publishers Inc
Total Pages: 178
Release: 2011
Genre: Business & Economics
ISBN: 160198426X

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Estimation of Spatial Panels provides some recent developments on the specification and estimation of spatial panel models.