A Parametric Approach to Nonparametric Statistics

This book demonstrates that nonparametric statistics can be taught from a parametric point of view. As a result, one can exploit various parametric tools such as the use of the likelihood function, penalized likelihood and score functions to not only derive well-known tests but to also go beyond and...

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Bibliographic Details
Main Authors: Alvo, Mayer (Author, http://id.loc.gov/vocabulary/relators/aut), Yu, Philip L. H. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Springer Series in the Data Sciences,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:This book demonstrates that nonparametric statistics can be taught from a parametric point of view. As a result, one can exploit various parametric tools such as the use of the likelihood function, penalized likelihood and score functions to not only derive well-known tests but to also go beyond and make use of Bayesian methods to analyze ranking data. The book bridges the gap between parametric and nonparametric statistics and presents the best practices of the former while enjoying the robustness properties of the latter. This book can be used in a graduate course in nonparametrics, with parts being accessible to senior undergraduates. In addition, the book will be of wide interest to statisticians and researchers in applied fields.
Physical Description:XIV, 279 p. 15 illus. in color. online resource.
ISBN:9783319941530
ISSN:2365-5674
DOI:10.1007/978-3-319-94153-0