Quantile Processes with Statistical Applications

Quantile Processes with Statistical Applications
Author: Miklos Csorgo
Publisher: SIAM
Total Pages: 169
Release: 1983-01-01
Genre: Distribution (Probability theory)
ISBN: 9781611970289

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Provides a comprehensive theory of the approximations of quantile processes in light of recent advances, as well as some of their statistical applications.

Quantile Processes with Statistical Applications

Quantile Processes with Statistical Applications
Author: Miklos Csorgo
Publisher: Society for Industrial and Applied Mathematics
Total Pages: 170
Release: 1983-01-31
Genre: Mathematics
ISBN: 9780898711851

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Provides a comprehensive theory of the approximations of quantile processes in light of recent advances, as well as some of their statistical applications.

Lectures on Empirical Processes

Lectures on Empirical Processes
Author: Eustasio Del Barrio
Publisher: Transaction Publishers
Total Pages: 268
Release: 2007
Genre: Mathematics
ISBN: 9783037190272

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Empirical Processes with Applications to Statistics

Empirical Processes with Applications to Statistics
Author: Galen R. Shorack
Publisher: SIAM
Total Pages: 992
Release: 2009-01-01
Genre: Mathematics
ISBN: 0898719011

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Originally published in 1986, this valuable reference provides a detailed treatment of limit theorems and inequalities for empirical processes of real-valued random variables; applications of the theory to censored data, spacings, rank statistics, quantiles, and many functionals of empirical processes, including a treatment of bootstrap methods; and a summary of inequalities that are useful for proving limit theorems. At the end of the Errata section, the authors have supplied references to solutions for 11 of the 19 Open Questions provided in the book's original edition. Audience: researchers in statistical theory, probability theory, biostatistics, econometrics, and computer science.

Statistical Applications in the Earth Sciences

Statistical Applications in the Earth Sciences
Author: F. P. Agterberg
Publisher: Energy, Mines and Resources Canada
Total Pages: 608
Release: 1990
Genre: Science
ISBN:

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Collection of papers presented at the Colloquium, covering the broad subject areas of spatial data integration, statistical analysis of geoscience data, and quantitative stratigraphy. Working Group reports are included as well.

Approximate Distributions of Order Statistics

Approximate Distributions of Order Statistics
Author: Rolf-Dieter Reiss
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461396204

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This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concern ing the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approxi mating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estima tion and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored.

Contributions to Stochastics

Contributions to Stochastics
Author: Sendler
Publisher: Springer Science & Business Media
Total Pages: 265
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642468934

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Since the contributions to this volume stem from very different fields, no attempt was made to find a systematic ordering. All results are new in so far as they have not been published so far.

Statistical Modelling with Quantile Functions

Statistical Modelling with Quantile Functions
Author: Warren Gilchrist
Publisher: CRC Press
Total Pages: 346
Release: 2000-05-15
Genre: Mathematics
ISBN: 1420035916

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Galton used quantiles more than a hundred years ago in describing data. Tukey and Parzen used them in the 60s and 70s in describing populations. Since then, the authors of many papers, both theoretical and practical, have used various aspects of quantiles in their work. Until now, however, no one put all the ideas together to form what turns out to

Advances in Statistical Models for Data Analysis

Advances in Statistical Models for Data Analysis
Author: Isabella Morlini
Publisher: Springer
Total Pages: 264
Release: 2015-09-04
Genre: Mathematics
ISBN: 3319173774

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This edited volume focuses on recent research results in classification, multivariate statistics and machine learning and highlights advances in statistical models for data analysis. The volume provides both methodological developments and contributions to a wide range of application areas such as economics, marketing, education, social sciences and environment. The papers in this volume were first presented at the 9th biannual meeting of the Classification and Data Analysis Group (CLADAG) of the Italian Statistical Society, held in September 2013 at the University of Modena and Reggio Emilia, Italy.

Quantile Regression

Quantile Regression
Author: I. Gusti Ngurah Agung
Publisher: John Wiley & Sons
Total Pages: 496
Release: 2021-06-18
Genre: Mathematics
ISBN: 1119715180

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QUANTILE REGRESSION A thorough presentation of Quantile Regression designed to help readers obtain richer information from data analyses The conditional least-square or mean-regression (MR) analysis is the quantitative research method used to model and analyze the relationships between a dependent variable and one or more independent variables, where each equation estimation of a regression can give only a single regression function or fitted values variable. As an advanced mean regression analysis, each estimation equation of the mean-regression can be used directly to estimate the conditional quantile regression (QR), which can quickly present the statistical results of a set nine QR(τ)s for τ(tau)s from 0.1 up to 0.9 to predict detail distribution of the response or criterion variable. QR is an important analytical tool in many disciplines such as statistics, econometrics, ecology, healthcare, and engineering. Quantile Regression: Applications on Experimental and Cross Section Data Using EViews provides examples of statistical results of various QR analyses based on experimental and cross section data of a variety of regression models. The author covers the applications of one-way, two-way, and n-way ANOVA quantile regressions, QRs with multi numerical predictors, heterogeneous QRs, and latent variables QRs, amongst others. Throughout the text, readers learn how to develop the best possible quantile regressions and how to conduct more advanced analysis using methods such as the quantile process, the Wald test, the redundant variables test, residual analysis, the stability test, and the omitted variables test. This rigorous volume: Describes how QR can provide a more detailed picture of the relationships between independent variables and the quantiles of the criterion variable, by using the least-square regression Presents the applications of the test for any quantile of any numerical response or criterion variable Explores relationship of QR with heterogeneity: how an independent variable affects a dependent variable Offers expert guidance on forecasting and how to draw the best conclusions from the results obtained Provides a step-by-step estimation method and guide to enable readers to conduct QR analysis using their own data sets Includes a detailed comparison of conditional QR and conditional mean regression Quantile Regression: Applications on Experimental and Cross Section Data Using EViews is a highly useful resource for students and lecturers in statistics, data analysis, econometrics, engineering, ecology, and healthcare, particularly those specializing in regression and quantitative data analysis.