Nonparametric Estimation Of A Regression Function By Means Of Concomitants Of Order Statistics PDF Download

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A Distribution-Free Theory of Nonparametric Regression

A Distribution-Free Theory of Nonparametric Regression
Author: László Györfi
Publisher: Springer Science & Business Media
Total Pages: 662
Release: 2006-04-18
Genre: Mathematics
ISBN: 0387224424

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This book provides a systematic in-depth analysis of nonparametric regression with random design. It covers almost all known estimates. The emphasis is on distribution-free properties of the estimates.


Statistical Data Analysis Based on the L1-Norm and Related Methods

Statistical Data Analysis Based on the L1-Norm and Related Methods
Author: Yadolah Dodge
Publisher: Birkhäuser
Total Pages: 447
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034882017

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This volume contains a selection of invited papers, presented to the fourth International Conference on Statistical Data Analysis Based on the L1-Norm and Related Methods, held in Neuchâtel, Switzerland, from August 4–9, 2002. The contributions represent clear evidence to the importance of the development of theory, methods and applications related to the statistical data analysis based on the L1-norm.


A Class of Non-parametric Estimates of a Smooth Regression Function

A Class of Non-parametric Estimates of a Smooth Regression Function
Author: R. M. Royall
Publisher:
Total Pages: 164
Release: 1966
Genre: Mathematical statistics
ISBN:

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The purpose of the paper is to develop methods for estimating regression functions (i.e., conditional expectations) when nothing is known or assumed about their underlying functional form. The approach is 'non-parametric' in the sense that the regression function itself, rather than a set of numerical parameters, is estimated. The methods given make use of certain rank order statistics and thereby avoid problems of scaling which are troublesome when less sophisticated non-parametric methods are used. The large sample performance of the proposed regression estimators is studied in detail and methods for obtaining high orders of asymptotic efficiency are given. The asymptotic (normal) distribution of the estimates is obtained and the related problem of prediction is discussed. (Author).


A Course in Time Series Analysis

A Course in Time Series Analysis
Author: Daniel Peña
Publisher: John Wiley & Sons
Total Pages: 494
Release: 2011-01-25
Genre: Mathematics
ISBN: 1118031229

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New statistical methods and future directions of research in time series A Course in Time Series Analysis demonstrates how to build time series models for univariate and multivariate time series data. It brings together material previously available only in the professional literature and presents a unified view of the most advanced procedures available for time series model building. The authors begin with basic concepts in univariate time series, providing an up-to-date presentation of ARIMA models, including the Kalman filter, outlier analysis, automatic methods for building ARIMA models, and signal extraction. They then move on to advanced topics, focusing on heteroscedastic models, nonlinear time series models, Bayesian time series analysis, nonparametric time series analysis, and neural networks. Multivariate time series coverage includes presentations on vector ARMA models, cointegration, and multivariate linear systems. Special features include: Contributions from eleven of the worldâ??s leading figures in time series Shared balance between theory and application Exercise series sets Many real data examples Consistent style and clear, common notation in all contributions 60 helpful graphs and tables Requiring no previous knowledge of the subject, A Course in Time Series Analysis is an important reference and a highly useful resource for researchers and practitioners in statistics, economics, business, engineering, and environmental analysis. An Instructor's Manual presenting detailed solutions to all the problems in he book is available upon request from the Wiley editorial department.


Nonparametric Methods

Nonparametric Methods
Author: P. R. Krishnaiah
Publisher: Elsevier Health Sciences
Total Pages: 1016
Release: 1984
Genre: Mathematics
ISBN:

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Classical developments. Linear models. Order statistics and empitical distribution. Estimation procedures. Stochastic aproximation and density estimation. Life testing and reliability. Miscellaneous topics. Applications. Tables.