The Advanced Theory of Language as Choice and Chance

1. Introduction.- 1.1. Historical sketch.- 1.2. Language as a mass phenomenon - 'Quantity Survey' of language.- 1.3. Chance as a factor of linguistic expression and language structure.- 1.4. Structuralism and statistical linguistics.- 1.5. Language as choice and chance.- 1.6. De Saussure's 'Principe Linéaire' and geometrical duality.- 1.7. Literary statistics, a new branch of applied statistics.- 1.8. Plan of the book.- I. Language as Chance I - Statistical Linguistics.- 2. Stability of Linguistic Distributions.- 3. Explanation of Stability of Linguistic Distributions.- 4. Application of the Theory of Stability of Alphabetic Distributions to a Problem of Language Mixture.- II. Language as Choice I - Stylostatistics.- 5. Style as a Statistical Concept.- 6. Word Count Mathematics.- 7. Style Relationships - Bi-Variate Stylostatistics.- 8. A Guide to Stylo-statistical Investigations.- III. Language as Chance II - Optimal Systems of Language Structure.- III.(A) Combinatorics on the Phonemic (Alphabetic) Level.- 9. The Combinatorial Structure of Words.- 10. Optimality of the Word-Length Distribution.- 11. Combinatorics applied to Problems of Classical Poetry.- III.(B) Combinatorics on the Lexicon Level.- 12. Random Partitioning of Vocabulary - Vocabulary Connectivity.- 13. The Generalised Random Partitioning Function and Stylostatistics.- 14. The "New Statistics" on the Vocabulary Level.- III.(C) Information Theory.- 15. Principles of Information Theory.- 16. Information-Theoretical Analysis as a Tool of Linguistic Research.- 17. Language Translations as Bi-Variate Distributions of Coding Symbols.- IV. Language as Choice II - Linguistic Duality.- 18. The Four-fold Root of Linguistic Duality.- 19. Duality as Correcting Factor - Inadequacy ofTruly SeiologicCodes.- 20. Duality and Language Translation.- V. Statistics for the Language Seminary.- V.(A) Statistics of Language in the Mass.- 21. Descriptive Statistics.- 22. Statistical Inference - The Binomial Case.- 23. Statistical Inference in the Case of Multiple Classification of Events.- 24. Theory of Correlation.- V. (B) Statistics of Language in the Line.- 25. The Dimension of Time in Language Statistics.- 26. Linguistic Duality and 'Parity'.- Appendix - A Survey of Past and Present-day Statistical Linguistics.- Author Index.