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  • Textbook
  • © 2018

A Parametric Approach to Nonparametric Statistics

  • Includes exercises at the end of every chapter
  • First book to bridge the gap between parametric and nonparametric statistics
  • Contains introduction to probability and statistics
  • Demonstrates Modern applications

Part of the book series: Springer Series in the Data Sciences (SSDS)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction and Fundamentals

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Mayer Alvo, Philip L. H. Yu
      Pages 3-4
    3. Fundamental Concepts in Parametric Inference

      • Mayer Alvo, Philip L. H. Yu
      Pages 5-44
    4. Tools for Nonparametric Statistics

      • Mayer Alvo, Philip L. H. Yu
      Pages 45-59
  3. Nonparametric Statistical Methods

    1. Front Matter

      Pages 61-61
    2. Smooth Goodness of Fit Tests

      • Mayer Alvo, Philip L. H. Yu
      Pages 63-89
    3. One-Sample and Two-Sample Problems

      • Mayer Alvo, Philip L. H. Yu
      Pages 91-115
    4. Multi-Sample Problems

      • Mayer Alvo, Philip L. H. Yu
      Pages 117-135
    5. Tests for Trend and Association

      • Mayer Alvo, Philip L. H. Yu
      Pages 137-161
    6. Optimal Rank Tests

      • Mayer Alvo, Philip L. H. Yu
      Pages 163-186
    7. Efficiency

      • Mayer Alvo, Philip L. H. Yu
      Pages 187-205
  4. Selected Applications

    1. Front Matter

      Pages 207-207
    2. Multiple Change-Point Problems

      • Mayer Alvo, Philip L. H. Yu
      Pages 209-227
    3. Bayesian Models for Ranking Data

      • Mayer Alvo, Philip L. H. Yu
      Pages 229-243
    4. Analysis of Censored Data

      • Mayer Alvo, Philip L. H. Yu
      Pages 245-256
  5. Back Matter

    Pages 257-279

About this book

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.

Reviews

“The book is interesting and well written. Theoretical results and formulas derived are illustrated by various numerical examples. The majority of chapters are equipped with interesting exercises for the readers.” (Jonas Šiaulys, zbMath 1416.62006, 2019)

Authors and Affiliations

  • Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada

    Mayer Alvo

  • Department of Statistics and Actuarial Science, University of Hong Kong, Hong Kong, China

    Philip L. H. Yu

About the authors

Mayer Alvo is a Professor in the Department of Mathematics and Statistics at the University of Ottawa. He received his Ph.D. from Columbia University in 1972. He served as Departmental Chairman in 1985-88, 2002- 2005 and 2011-2012. He is the author of more than 64 articles published in refereed journals. His research interests include nonparametric statistics, Bayesian analysis and sequential methods. 

Philip L.H. Yu is an Associate Professor in the Department of Statistics and Actuarial Science at the University of Hong Kong. He received his Ph.D. from The University of Hong Kong in 1993. He is the Director of the Master of Statistics Programme. He is an Associate Editor for Computational Statistics and Data Analysis as well as for Computational Statistics. He is the author of more than 90 referred publications.  His research interests include modeling of ranking data, data mining and financial and risk analytics.

Bibliographic Information

Buy it now

Buying options

eBook USD 19.99 USD 39.99
50% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 29.99 USD 54.99
45% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 39.99 USD 79.99
50% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access