In trying to give an account of the statistical properties of language, one is faced with the problem of having to find the common thread which would show the many and multifarious forms of language statistic- embodied in scattered papers written by linguists, philosophers, mathe maticians, engineers, each using his own professional idiom - as belong ing to one great whole: quantitative linguistics. This means that the investigator has to find the system of this branch of science which would enable him to arrange the vast material in an orderly fashion, and present it as an organic whole. Such a system is conceived in this book, as comprising the following disciplines as the four main branches of literary statistics: Statistical Linguistics, Stylostatistics, Optimal Systems of Language Structure, and Linguistic Duality (Parts I-IV). The Introduction is meant to define the position of the book with regard to both, linguistics and statistics.

Written by renowned experts in the field, this reissue of a textbook has as its unifying theme the role that probability models have had, and continue to have, in scientific and practical applications. It includes many examples, with actual data, of real-world use of probability models, while expositing the mathematical theory of probability at an introductory calculus-based level. Detailed descriptions of the properties and applications of probability models that have successfully modeled real phenomena are given, as well as an explanation of methods for testing goodness of fit of these models. Readers will receive a firm foundation in techniques for deriving distributions of various summaries of data that will prepare them for subsequent studies of statistics, as well as a solid grounding in concepts such as that of conditional probability that will prepare them for more advanced courses in stochastic processes.

Based on the large corpora of journalistic English, this title examines dependency relations and related properties at both syntactic and discourse levels, seeking to unravel the language patterns of real-life usage. With a focus on rank-frequency distribution, the author investigates the distribution of linguistic properties/units from the perspectives of properties, motifs and sequencings. At the syntactic level, the book analyses the following three dimensions: various combinations of a complete dependency structure, valency and dependency distance. At the discourse level, it proves that the elements can also form dependency relations by exploring (1) the rank-frequency distribution of Rhetorical Structure Theory relations, their motifs, discourse valency and discourse dependency distance; (2) whether there is top-down organisation or an inverted pyramid structure at all the three discourse levels; and (3) whether discourse dependency distances and valencies are lawfully distributed, following the same distribution patterns as those at the syntactic level. This book will be of great value for scholars and students of quantitative linguistics and computational linguistics and its practical insights will also benefit professionals of language teaching and journalistic writing.

Mathematical Linguistics introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians interested in natural language processing. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed. As the first textbook of its kind, this book is useful for those in information science and in natural language technologies.

Required reading for computational linguists, this work contains a series of important contributions to the science of language, focusing on the study of word length. The book includes an introduction to the history and state of the art of word length studies. The studies included unify contributions from three crucial fields of study in linguistics: linguistics and text analysis, mathematics and statistics, and corpus and database design. Together they provide a comprehensive approach to the quantitative study of text and language.

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In recent years, there has been a tremendous development in the area of quantitative and statistical analysis of linguistic and literary data, generated, no doubt, by extensive advances in computer technology and their relatively easy availability to scholars. However, except for a few rather specialized examples, there has been no truly introductory text in statistics and quantitative analysis devoted to the needs of language scholars. This work was written especially to fill the gap. It introduces a mathematically naïve reader to those statistical tools which are applicable in modern quantitative text and language analysis, and does this in terms of simple examples dealing exclusively with language and literature. Exercises are included throughout.