Hreb length - Revision history

Vulanovic at 11:17, 16 June 2009

2009-06-16T11:17:08Z

Altmann at 14:29, 26 July 2006

2006-07-26T14:29:48Z

Ahans at 13:58, 27 June 2006

2006-06-27T13:58:09Z

Ahans at 10:34, 18 May 2006

2006-05-18T10:34:06Z

Ahans at 17:43, 16 May 2006

2006-05-16T17:43:14Z

Ahans at 17:42, 16 May 2006

2006-05-16T17:42:37Z

New page

'''1. Problem and history'''

Up to now two kinds of “hrebs” have been established:

''Sentence hreb'' is a set of sentences of the text containing the same word, the same denotation or the same reference. Hřebíček calls them “(sentence) aggregates” or “larger context”.

Denotation hreb is a set of elements of a text having the same denotation. There can be word hrebs, considering merely the denotation of words, morpheme hrebs considering the reference of all morphemes or phrase hrebs.

The criteria for establishing hrebs are not yet unique.

The discoverer of these units is Hřebíček (1990, 1992, 1993, 1995, 1995a, 1997) who examined their length especially in Turkish texts and used exclusively the Zipf-Alekseev distribution. Schwarz (1995) extended the research to German texts and used also the Waring distribution. Ziegler and Altmann (2002) developed some theoretical issues concerning denotation hrebs and baptized these entities to “hrebs”.
'''
2. Hypothesis'''

''Hreb length abides by the usual length distribution following from the unified theory (<math>\rightarrow</math>) or the Zipf-Alekseev distribution used in word association research (<math>\rightarrow</math>).''
'''3. Derivation'''

In the usual “length”-approach, <math>P_{x+1}</math> = <math>g(x)P_x</math>, one inserts g(x) = (n+x-1)/(b+n+x) and obtains the 1-displaced version of the Waring distribution

(1)<math>P_x = \frac{bn^{x-1}}{(b+n)(b+n+1)^{x-1}}, \quad x = 1, 2, ...</math>

For the derivation of the Zipf-Alekseev distribution see “Word associations” (<math>\rightarrow</math>).

'''Example'''. Sentence hreb length in a German text (Schwarz 1995)

Schwarz analyzed a German text (F. Schirmacher, “Dem Druck des härteren, strengeren Lebens standhalten.“ Frankfurter Allgemeine Zeitung 2.6.1990, Nr. 127) and obtained the results in Table 1 and Figures 1 and 2.

<div align="center">[[Image:Tabelle1_H-R.jpg]]</div>

In this case, the Zipf-Alekseev distribution yields sowhat better results, inspite of the fact that it has 4 paramaters. However, bothe fittings are satisfactory.

<div align="center">[[Image:Grafik1_HR.jpg]]</div>
<div align="center">Fig. 1. Fitting the Waring distribution to hreb length of German data (Schwarz 1995)</div>

<div align="center">[[Image:Grafik2_HR.jpg]]</div>
<div align="center">Fig. 2. Fitting the modified Zipf-Aslekseev distribution to German data (Schwarz 1995)</div>

'''Example''': Denotation hreb length in an Early New High German text (Ziegler, Altmann 2002).

Ziegler and Altmann examined a letter form an Archive in Bratislava written in Early New High German segmented to denotation hrebs. The results are given in Table 2. This time the Waring distribution is slightly better.

Table 2
Fitting the Waring and the Zipf-Alekseev distributions to a text in Early New High German (Ziegler, Altmann 2002)

'''4. Authors: U. Strauss, G. Altmann'''

'''5. References:'''

'''Hřebíček, L.''' (1992). ''Text in communication: Supra-sentence structure''. Bochum, Brockmeyer.

'''Hřebíček, L'''. (1993a). Text as a construct of aggregations. In: Köhler, R., Rieger, B. (eds.), ''Contributions to quantitative linguistics. Dordrecht: Kluwer: 33-39.''

'''Hřebíček, L.''' (1995). ''Text levels. Language constructs, constituents and Menzerath-Altmann law.'' Trier: WVT.

'''Hřebíček, L.''' (1996). Word associations and text. ''Glottometrika 15, 12-17''.

Hřebíček, L. (1997). ''Lectures on text theory''. Prague: Oriental Institute.

'''Schwarz, C.''' (1995). The distribution of aggregates in texts. ''ZeT – Zeitschrift für empirische Textforschung 2, 62-66''

'''Ziegler, A., Altmann, G'''. (2002). ''Denotative Textanalyse''. Wien: Edition Praesens.

Uhlirova 2003; (Rez.), Lehfeldt 2003 (Rez.), Andersen 2003 Rez.; Grzybek 2003 Rez.; (Ergänzen später)

← Older revision		Revision as of 14:29, 26 July 2006
Line 44:		Line 44:


−	'''4. Authors: G. Altmann~~'''~~	+	'''4. Authors:'''U. Strauss, G. Altmann

	'''5. References:'''		'''5. References:'''

@@ Line 3: / Line 3: @@
 Up to now two kinds of  “hrebs” have been established:
-''Sentence hreb'' is a set of sentences of the text containing the same word, the same denotation or the same reference. Hřebíček calls them “(sentence) aggregates” or “larger context”.
+''Sentence hreb'' is a set of sentences of the text containing the same word, the same denotation or the same reference. Hřebíček calls them “(sentence) aggregates” or “larger contexts”.
-Denotation hreb is a set of elements of a text having the same denotation. There can be word hrebs, considering merely the denotation of words, morpheme hrebs considering the reference of all morphemes or phrase hrebs.
+''Denotation hreb'' is a set of elements of a text having the same denotation. There can be word hrebs, considering merely the denotation of words, morpheme hrebs, considering the reference of all morphemes, or phrase hrebs.
 The criteria for establishing hrebs are not yet unique.
-The discoverer of these units is Hřebíček (1990, 1992, 1993, 1995, 1995a, 1997) who examined their length especially in Turkish texts and used exclusively the Zipf-Alekseev distribution. Schwarz (1995) extended the research to German texts and used also the Waring distribution. Ziegler and Altmann (2002) developed some theoretical issues concerning denotation hrebs and baptized these entities to “hrebs”.
+The discoverer of these units is Hřebíček (1990, 1992, 1993, 1995, 1995a, 1997) who examined their length especially in Turkish texts and used exclusively the Zipf-Alekseev distribution. Schwarz (1995) extended the research to German texts and used also the Waring distribution. Ziegler and Altmann (2002) developed some theoretical issues concerning denotation hrebs and in fact baptized these entities “hrebs”.
 '''2. Hypothesis'''
@@ Line 17: / Line 17: @@
 '''3. Derivation'''
-In the usual “length”-approach, <math>P_{x+1}</math> = <math>g(x)P_x</math>, one inserts  g(x) = (n+x-1)/(b+n+x) and obtains the 1-displaced version of the Waring distribution
+In the usual “length”-approach, <math>P_{x+1}</math> = <math>g(x)P_x</math>, one inserts  <math>g(x) = (n+x-1)/(b+n+x)</math> and obtains the 1-displaced version of the Waring distribution
-(1)<math>P_x = \frac{bn^{x-1}}{(b+n)(b+n+1)^{x-1}}, \quad x = 1, 2, ...</math>
+(1) <math>P_x = \frac{bn^{x-1}}{(b+n)(b+n+1)^{x-1}}, \quad x = 1, 2, ...</math>
 For the derivation of the Zipf-Alekseev distribution see “Word associations” (<math>\rightarrow</math>).
@@ Line 29: / Line 29: @@
 <div align="center">[[Image:Tabelle11_H-R.jpg]]</div>
-In this case, the Zipf-Alekseev distribution yields sowhat better results, inspite of the fact that it has 4 paramaters. However, bothe fittings are satisfactory.
+In this case, the Zipf-Alekseev distribution yields sowhat better results, in spite of the fact that it has 4 paramaters. However, bothe fittings are satisfactory.
 <div align="center">[[Image:Grafik1_HR.jpg]]</div>

@@ Line 27: / Line 27: @@
 Schwarz analyzed a German text (F. Schirmacher, “Dem Druck des härteren, strengeren Lebens standhalten.“ Frankfurter Allgemeine Zeitung 2.6.1990, Nr. 127) and obtained  the results in Table 1 and Figures 1 and 2.
-<div align="center">[[Image:Tabelle1_H-R.jpg]]</div>
+<div align="center">[[Image:Tabelle11_H-R.jpg]]</div>
 In this case, the Zipf-Alekseev distribution yields sowhat better results, inspite of the fact that it has 4 paramaters. However, bothe fittings are satisfactory.
@@ Line 41: / Line 41: @@
 Ziegler and Altmann examined a letter form an Archive in Bratislava written in Early New High German segmented to denotation hrebs. The results are given in Table 2. This time the Waring distribution is slightly better.
-Table 2
+<div align="center">[[Image:Tabelle22_H-R.jpg]]</div>

@@ Line 10: / Line 10: @@
 The discoverer of these units is Hřebíček (1990, 1992, 1993, 1995, 1995a, 1997) who examined their length especially in Turkish texts and used exclusively the Zipf-Alekseev distribution. Schwarz (1995) extended the research to German texts and used also the Waring distribution. Ziegler and Altmann (2002) developed some theoretical issues concerning denotation hrebs and baptized these entities to “hrebs”.
 '''
-. Hypothesis'''
+'''2. Hypothesis'''
 ''Hreb length abides by the usual length distribution following from the unified theory (<math>\rightarrow</math>) or the Zipf-Alekseev distribution used in word association research (<math>\rightarrow</math>).''
@@ Line 45: / Line 45: @@
-'''4. Authors: U. Strauss, G. Altmann'''
+'''4. Authors: G. Altmann'''
 '''5. References:'''
@@ Line 57: / Line 57: @@
 '''Hřebíček, L.''' (1996). Word associations and text. ''Glottometrika 15, 12-17''.
-Hřebíček, L. (1997). ''Lectures on text theory''. Prague: Oriental Institute.
+'''Hřebíček, L.''' (1997). ''Lectures on text theory''. Prague: Oriental Institute.
 '''Schwarz, C.''' (1995). The distribution of aggregates in texts. ''ZeT – Zeitschrift für empirische Textforschung 2, 62-66''
@@ Line 63: / Line 63: @@
 '''Ziegler, A., Altmann, G'''. (2002). ''Denotative Textanalyse''. Wien: Edition Praesens.
-Uhlirova 2003; (Rez.), Lehfeldt 2003 (Rez.), Andersen 2003 Rez.; Grzybek 2003 Rez.; (Ergänzen später)
+'''Uhlirova 2003;''' (Rez.), Lehfeldt 2003 (Rez.), Andersen 2003 Rez.; Grzybek 2003 Rez.; (Ergänzen später)

← Older revision		Revision as of 17:43, 16 May 2006
Line 14:		Line 14:

	''Hreb length abides by the usual length distribution following from the unified theory (<math>\rightarrow</math>) or the Zipf-Alekseev distribution used in word association research (<math>\rightarrow</math>).''		''Hreb length abides by the usual length distribution following from the unified theory (<math>\rightarrow</math>) or the Zipf-Alekseev distribution used in word association research (<math>\rightarrow</math>).''
		+
	'''3. Derivation'''		'''3. Derivation'''