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Quantitative linguistics

Author: Gustav Herdan
Publisher: Washington : Butterworths, 1964.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Language, The Law and The Probits (short for probabilities) was the title originally chosen for this book. It had to be abandoned, as it did not seem suitable for a volume in a series of mathematical monographs, but it was retained as the heading of Chapter 3. It is meant to bring home to the reader that the mathematical linguist was not just a purveyor of statistical ironmongery, deriving ad hoc methods for  Read more...
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Additional Physical Format: Online version:
Herdan, Gustav.
Quantitative linguistics.
London : Butterworths, 1964
(OCoLC)589821536
Document Type: Book
All Authors / Contributors: Gustav Herdan
OCLC Number: 1855851
Description: xvi, 284 pages : illustrations ; 26 cm
Contents: Preface --
Part I. Principles Of Quantitative Linguistics --
Quantitative Linguistics-Le Langage --
La Langue-La Parole-Le Langage --
Linguistic Random Variables --
The Frequency Element, A Component Of Language --
Structuralism And Statistical Linguistics --
The Principle Of Structuralism --
Grammar As Structure --
Quantitative Linguistics As Extension Of Structuralism To Vocabulary And Syntax --
Adequacy And Relevance Of Quantitative Methods In Linguistics --
Language, The Law And The Probits --
Defining Language --
Linguistic Laws As Stabilization Of Contrasts --
The Probits --
Laws Versus Probits --
Structural Or Solidarity Laws On The Syntax Level-De Minimis Lex Non Curat --
Freeing The Mind --
The Scope Of Computers In The Area Of Language --
The Use Of Mathematics In Linguistics As Freeing The Mind --
The Misuse Of Computers In The Area Of Language --
Statistics In The 'Region Of Lost Dimensions' --
Part Ii. On The Phonemic Level --
Stability Of Relative Frequency On The --
Phonemic Level And Statistical --
Significance Testing --
The Statistical Interpretation Of De Saussure's Langue-Parole Dichotomy --
Statistical Significance Testing --
Application Of The Theorem Of Stability Of Relative Frequency Of Phonemes (Letters)-A Method For Quantitative Analysis Of Language --
Mixture --
Quantitative Criteria Of Language Mixture --
The Frequency Distribution Of English Noun Initials --
Language Mixture-Methodological Considerations --
Some Criticism Of Plath's Presentation Of Mathematical Linguistics --
Statistical Determination Of Phonemic Isotopy --
Historical Introduction --
Exposition Of Kucera's Method --
Mathematical Nature Of The Index Of Isotopy --
The 'Region Of Lost Dimensions' In Statistics. I --
Fitting The Frequency Distribution --
Mixing Or Compounding Of Distributions --
Relation Between Different Moment Averages --
Part Iii. On The Vocabulary Level --
Basic Statistical Concepts --
Statistical Central Values And Measures Of Dispersion --
A New Statistical Parameter, The 'Characteristic' --
Style As A Statistical Concept --
Principles Of Counting Words: The Word As Occurrence And As Lexical Unit --
The General Form Of Vocabulary Distribution --
Inhomogeneity Of The Vocabulary-Occurrence Distribution --
Medium Frequency Region --
Low-Frequency Or Rare Words --
Survey Of Previous Attempts At Deriving The General Distribution·Function --
The Waring Distribution --
The General Form Of The Vocabulary Distribution-Fitting The Waring Distribution To Language Data --
The Proof Of Axiom Ii --
The Mathematical Model For The Vocabulary Distribution --
Vocabulary Correlation --
Correlation Methods --
Bernoullian Correlation-The Coefficient Of Contingency --
Vocabulary Connectivity --
Relation Between Characteristic K, Vocabulary Correlation And Vocabulary Connectivity --
Vocabulary Connectivity And The Random Partitioning Function --
The Comparison Of Vocabulary Universes --
Vocabulary Connectivity And The Classification Of Languages --
Fronzaroli's Method For The Classification Of Semitic Languages --
Vocabulary Connectivity As Regards Greek Words In The New Testament Not Occurring In The Pre-Christian Era --
Connectivity Of Political Vocabulary --
Multiple Correlation-Vocabulary Connectivity-Vocabulary Interface --
Vocabulary Connectivity And Multiple Correlation --
Mathematics Of The Genealogical Relationship Of Languages --
Vocabulary Correlation And Vocabulary Interface --
The Vocabulary Interface --
Probits Of Language Mixture --
Are There General Laws Governing Language Mixture? --
Proportions Of Etymological Components In Language Mixture-A Statistical Law 134 --
Language Mixture And The Theory Of Mixing --
Generalization Of The Quantitative Law Of Language Mixture --
Explanation Of The Quantitative Law Of Language Mixture --
A Cybernetic Law Of Vocabulary Growth --
Vocabulary Discrimination --
'Who Wrote The Junius Letters?'-Ellegard's Statistical Method --
Critical Examination Of Ellegard's Method --
Discrimination Of Vocabulary By The Log Likelihood Method-Application To The Junius Problem --
Distinctiveness Ratio And Vocabulary Structure 154 --
The Relation Between Style And Language --
The 'Region Of Lost Dimensions' In Statistics --
Peculiarity Of Sampling In The Areas Of Particulate Matter And Language --
Parameters Of Statistical Dispersion --
Historical Linguistics And The Calculus Of Linguistic Observations --
On The Phonemic Level --
The Beginnings Of Alphabetic Writing And The Combinatorial Technique --
Three-Consonantism In The Semitic Languages --
On The Vocabulary Level --
Vocabulary Connectivity And The Random Partitioning Function --
Historical Interpretation Of Vocabulary Connectivity-Application To Chinese Word Formation --
Historical Interpretation Of Information Theory --
A Diachronic Study Of Word Length In Persian --
Comparative Stylistics --
The Concept Of Comparative Stylistics --
Barth's Work --
Statistical Results --
Mathematical Analysis-The Probits Of Translation --
Gap-Length Distribution Of Transposition --
Graphical Analysis-Sequential Sampling Method --
Duality Of Translation . --
Comparative Stylistics Extended To Poetic Versus Prose Style --
Transposition In The Latin Hexameter --
Transposition In Chinese Poetry --
Transposition In Chinese Sentence Structure --
Grammatical Transposition As A Style Characteristic For Its Own Sake --
The Language Game And The Theory Of Groups --
The Pro Bits Of Word Order Within The Sentence --
Appendix --
Index.
Responsibility: G. Herdan.

Abstract:

Language, The Law and The Probits (short for probabilities) was the title originally chosen for this book. It had to be abandoned, as it did not seem suitable for a volume in a series of mathematical monographs, but it was retained as the heading of Chapter 3. It is meant to bring home to the reader that the mathematical linguist was not just a purveyor of statistical ironmongery, deriving ad hoc methods for particular out-of-the-way problems, but that mathematical linguistics are part and parcel of linguistics, just as The Prophets are of the Old Testament.

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