The Relation Between the Dictionary Distribution and the Occurrence Distribution of Word Length and its Importance for the Study of Quantitative Linguistics

Biometrika ◽  
1958 ◽  
Vol 45 (1/2) ◽  
pp. 222
Author(s):  
G. Herdan
Keyword(s):  
Word Length ◽  
Quantitative Linguistics

Using corpora in depth psychology: a trigram-based analysis of a corpus of fetish fantasies

Corpora ◽  
2012 ◽  
Vol 7 (1) ◽  
pp. 69-90 ◽  
Author(s):  
Andrew Wilson
Keyword(s):  
Depth Psychology ◽  
Constant Pressure ◽  
Psychological Theory ◽  
Evidence Base ◽  
Future Research ◽  
German Language ◽  
Alternative Theory ◽  
Depth Psychological ◽  
Psychological Constructs ◽  
Quantitative Linguistics

Contemporary depth psychology is under constant pressure to demonstrate and strengthen its evidence base. In this paper, I show how the analysis of large corpora can contribute to this goal of developing and testing depth-psychological theory. To provide a basis for evaluating statements about foot and shoe fetishism, I analyse the thirty-six most frequent three-word phrases (or trigrams) in a corpus of about 1.6 million words of amateur fetish stories written in the German language. Zipfian methods from quantitative linguistics are used to specify the number of phrases for analysis and I argue that these reflect the core themes of the corpus. The analysis reveals three main dimensions. First, it corroborates the observations of the early sexologists that foot and shoe fetishism is very closely intertwined with sadomasochism. Secondly, it shows that genitalia-related phrases are also common, but an examination of their contexts questions Freud's theory that fetishism results from an assumption of female castration. Thirdly, it reveals that the mouth also plays a key role; however, the frequent co-presence of genitalia references in the same texts does not seem to support straightforwardly the most common alternative theory of fetishism based on object relations. Future research could valuably extend this approach to other fetishes and, in due course, to other depth-psychological constructs.

scholarly journals Combable functions, quasimorphisms, and the central limit theorem

2009 ◽  
Vol 30 (5) ◽  
pp. 1343-1369 ◽  
Author(s):  
DANNY CALEGARI ◽  
KOJI FUJIWARA
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Word Length ◽  
Hyperbolic Groups ◽  
Finite State Automaton ◽  
List Type ◽  
Generating Sets ◽  
Finite State ◽  
Word Hyperbolic Groups

AbstractA function on a discrete group is weakly combable if its discrete derivative with respect to a combing can be calculated by a finite-state automaton. A weakly combable function is bicombable if it is Lipschitz in both the left- and right-invariant word metrics. Examples of bicombable functions on word-hyperbolic groups include:(1)homomorphisms to ℤ;(2)word length with respect to a finite generating set;(3)most known explicit constructions of quasimorphisms (e.g. the Epstein–Fujiwara counting quasimorphisms).We show that bicombable functions on word-hyperbolic groups satisfy acentral limit theorem: if$\overline {\phi }_n$is the value of ϕ on a random element of word lengthn(in a certain sense), there areEandσfor which there is convergence in the sense of distribution$n^{-1/2}(\overline {\phi }_n - nE) \to N(0,\sigma )$, whereN(0,σ) denotes the normal distribution with standard deviationσ. As a corollary, we show that ifS1andS2are any two finite generating sets forG, there is an algebraic numberλ1,2depending onS1andS2such that almost every word of lengthnin theS1metric has word lengthn⋅λ1,2in theS2metric, with error of size$O(\sqrt {n})$.

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