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Word Frequency Distributions

  • R. Harald Baayen

Part of the Text, Speech and Language Technology book series (TLTB, volume 18)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. R. Harald Baayen
    Pages 1-38
  3. R. Harald Baayen
    Pages 39-78
  4. R. Harald Baayen
    Pages 79-134
  5. R. Harald Baayen
    Pages 135-160
  6. R. Harald Baayen
    Pages 161-193
  7. R. Harald Baayen
    Pages 195-236
  8. Back Matter
    Pages 237-335

About this book

Introduction

This book is an introduction to the statistical analysis of word frequency distributions, intended for linguists, psycholinguistics, and researchers work­ ing in the field of quantitative stylistics and anyone interested in quantitative aspects of lexical structure. Word frequency distributions are characterized by very large numbers of rare words. This property leads to strange statisti­ cal phenomena such as mean frequencies that systematically keep changing as the number of observations is increased, relative frequencies that even in large samples are not fully reliable estimators ofpopulationprobabilities, and model parameters that emerge as functions of the text size. Special statistical techniques for the analysis of distributions with large numbers of rare events can be found in various technical journals. The aim of this book is to make these techniques more accessible for non-specialists. Chapter 1 introduces some basic concepts and notation. Chapter 2 describes non-parametricmethods for the analysis ofword frequency distributions. The next chapterdescribes in detail three parametricmodels, the lognormal model, the Yule-Simon Zipfian model, and the generalized inverse Gauss-Poisson model. Chapter 4 introduces the concept of mixture distributions. Chapter 5 explores the effectofnon-randomness inword use on the accuracy of the non­ parametric and parametric models, all of which are based on the assumption that words occur independently and randomly in texts. Chapter 6 presents examples of applications.

Keywords

Estimator best fit corpus

Authors and affiliations

  • R. Harald Baayen
    • 1
  1. 1.University of NijmegenThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-0844-0
  • Copyright Information Kluwer Academic Publishers 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0927-3
  • Online ISBN 978-94-010-0844-0
  • Series Print ISSN 1386-291X
  • Buy this book on publisher's site
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