Modern Sieve Estimators For Nonparametric Problems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Modern Sieve Estimators For Nonparametric Problems PDF full book. Access full book title Modern Sieve Estimators For Nonparametric Problems.
| Author | : Tianyu Zhang |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2022 |
| Genre | : |
| ISBN | : |
Download Modern Sieve Estimators for Nonparametric Problems Book in PDF, ePub and Kindle
Estimation of a regression function, linking a set of features to an outcome of interest, is a fundamental statistical task. This dissertation focuses on the application of sieve estimators in modern statistical learning problems. The method of sieves, or estimation via basis expansion, has its roots in Fourier analysis. In the past decades, it has achieved much success in smaller sample size, lower dimensional data science problems. In this dissertation, we will demonstrate its effectiveness in modern statistical learning settings. Sieve estimators can achieve statistical and computational optimality (almost) simultaneously, which makes them very suitable for online and/or large scale nonparametric estimation tasks. Sieve estimators can also be applied to high-dimensional nonparametric problems. They can effectively alleviate the “curse of dimensionality” by leveraging additional structures such as feature sparsity. For each topic covered in this dissertation, we will present both theoretical discussion and a variety of numerical examples.
| Author | : Johannes Theodor Nikolaus Krebs |
| Publisher | : |
| Total Pages | : |
| Release | : 2017 |
| Genre | : |
| ISBN | : 9783839611869 |
Download Sieve Estimators for Spatial Data Book in PDF, ePub and Kindle
| Author | : Stuart Geman |
| Publisher | : |
| Total Pages | : 62 |
| Release | : 1983 |
| Genre | : |
| ISBN | : |
Download Nonparametric Estimation by the Method of Sieves Book in PDF, ePub and Kindle
The research project has built a theoretical foundation for using the method of sieves to adapt classical estimation principles such as maximum likelihood and least squares to problems with infinite dimensional parameter spaces. The first results about consistency of cross validated estimators of density functions have been obtained. The method of sieves and the principle of maximum likelihood have been used to develop algorithms for digital image processing. Specific applications include image segmentation, reconstruction methods for tomography, image registration methods for moving objects, and surface restoration algorithms. (Author).
| Author | : B. L. S. Prakasa Rao |
| Publisher | : Academic Press |
| Total Pages | : 539 |
| Release | : 2014-07-10 |
| Genre | : Mathematics |
| ISBN | : 148326923X |
Download Nonparametric Functional Estimation Book in PDF, ePub and Kindle
Nonparametric Functional Estimation is a compendium of papers, written by experts, in the area of nonparametric functional estimation. This book attempts to be exhaustive in nature and is written both for specialists in the area as well as for students of statistics taking courses at the postgraduate level. The main emphasis throughout the book is on the discussion of several methods of estimation and on the study of their large sample properties. Chapters are devoted to topics on estimation of density and related functions, the application of density estimation to classification problems, and the different facets of estimation of distribution functions. Statisticians and students of statistics and engineering will find the text very useful.
| Author | : Jinyong Hahn |
| Publisher | : |
| Total Pages | : |
| Release | : 2017 |
| Genre | : |
| ISBN | : |
Download Nonparametric Two-Step Sieve M Estimation and Inference Book in PDF, ePub and Kindle
This paper studies the two-step sieve M estimation of general semi/nonparametric models, where the second step involves sieve estimation of unknown functions that may use the nonparametric estimates from the first step as inputs, and the parameters of interest are functionals of unknown functions estimated in both steps. We establish the asymptotic normality of the plug-in two-step sieve M estimate of a functional that could be root-n estimable. They asymptotic variance may not have a closed form expression, but can be approximated by a sieve variance that characterizes the effect of the first-step estimation on the second-step estimates. We provide a simple consistent estimate of the sieve variance and hence a Wald type inference based on the Gaussian approximation. The finite sample performance of the two-step estimator and the proposed inference procedure are investigated in a simulation study.
| Author | : Chaohua Dong |
| Publisher | : |
| Total Pages | : 41 |
| Release | : 2019 |
| Genre | : |
| ISBN | : |
Download A Weighted Sieve Estimator for Nonparametric Time Series Models With Nonstationary Variables Book in PDF, ePub and Kindle
| Author | : Sam Efromovich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 423 |
| Release | : 1999-08-05 |
| Genre | : Mathematics |
| ISBN | : 0387987401 |
Download Nonparametric Curve Estimation Book in PDF, ePub and Kindle
This book gives a systematic, comprehensive, and unified account of modern nonparametric statistics of density estimation, nonparametric regression, filtering signals, and time series analysis. The companion software package, available over the Internet, brings all of the discussed topics into the realm of interactive research. Virtually every claim and development mentioned in the book is illustrated with graphs which are available for the reader to reproduce and modify, making the material fully transparent and allowing for complete interactivity.
| Author | : T. P. Speed |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 691 |
| Release | : 2012-04-11 |
| Genre | : Mathematics |
| ISBN | : 146141346X |
Download Selected Works of Terry Speed Book in PDF, ePub and Kindle
The purpose of this volume is to provide an overview of Terry Speed’s contributions to statistics and beyond. Each of the fifteen chapters concerns a particular area of research and consists of a commentary by a subject-matter expert and selection of representative papers. The chapters, organized more or less chronologically in terms of Terry’s career, encompass a wide variety of mathematical and statistical domains, along with their application to biology and medicine. Accordingly, earlier chapters tend to be more theoretical, covering some algebra and probability theory, while later chapters concern more recent work in genetics and genomics. The chapters also span continents and generations, as they present research done over four decades, while crisscrossing the globe. The commentaries provide insight into Terry’s contributions to a particular area of research, by summarizing his work and describing its historical and scientific context, motivation, and impact. In addition to shedding light on Terry’s scientific achievements, the commentaries reveal endearing aspects of his personality, such as his intellectual curiosity, energy, humor, and generosity.
| Author | : Alexandre B. Tsybakov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 222 |
| Release | : 2008-10-22 |
| Genre | : Mathematics |
| ISBN | : 0387790527 |
Download Introduction to Nonparametric Estimation Book in PDF, ePub and Kindle
Developed from lecture notes and ready to be used for a course on the graduate level, this concise text aims to introduce the fundamental concepts of nonparametric estimation theory while maintaining the exposition suitable for a first approach in the field.
| Author | : James R. Thompson |
| Publisher | : SIAM |
| Total Pages | : 320 |
| Release | : 1990-01-01 |
| Genre | : Mathematics |
| ISBN | : 9781611971712 |
Download Nonparametric Function Estimation, Modeling, and Simulation Book in PDF, ePub and Kindle
Topics emphasized include nonparametric density estimation as an exploratory device plus the deeper models to which the exploratory analysis points, multi-dimensional data analysis, and analysis of remote sensing data, cancer progression, chaos theory, epidemiological modeling, and parallel based algorithms. New methods discussed are quick nonparametric density estimation based techniques for resampling and simulation based estimation techniques not requiring closed form solutions.
