Empirico-Statistical Analysis of Narrative Material and its Applications to Historical Dating: Volume I: The Development of the Statistical Tools Volume II: The Analysis of Ancient and Medieval Records

Couverture
Springer Science & Business Media, 31 déc. 1993 - 212 pages
Today the methods of applied statistics have penetrated very different fields of knowledge, including the investigation oftexts ofvarious origins. These "texts" may be considered as signal sequences of different kinds, long genetic codes, graphic representations (which may be coded and represented by a "text"), as well as actual narrative texts (for example, historical chronicles, originals, documents, etc. ). One ofthe most important problems arising here is to recognize dependent text, i. e. , texts which have a measure of "resemblance", arising from some kind of "common origin". For instance, in pattern-recognition problems, it is essential to identify from a large set of "patterns" a pattern that is "closest" to a given one; in studying long signal sequences, it is important to recognize "homogeneous subsequences" and the places of their junction. This includes, in particular, the well-known change-point prob lern, which is given considerable attention in mathematical statistics and the theory of stochastic processes. As applied to the study of narrative texts, the problern of recognizing depen dent and independent texts ( e . g. , chronicles) Ieads to the problern offinding texts having a common source, i. e. , the sameoriginal (such texts are naturally called dependent), or, on the contrary, having different sources (such texts are natu rally called independent). Clearly, such problems are exceedingly complicated, and therefore the appearance of new empirico-statistical recognition methods which, along with the classical approaches, may prove useful in concrete studies (e. g. , source determination) is welcome.
 

Table des matières

Problems of Ancient and Medieval Chronology
1
2 Computation of the Second Derivative of the Moons Elongation
15
3 Traditional Chronology of the Flares of Stars and the Dating
32
New Statistical Methods for Dating
39
References
66
6 A New EmpiricoStatistical Procedure for Text Ordering and
76
New Experimental and Statistical Methods
88
9 Astronomical and Mathematical Analysis of the Almagest
113
10 Archaeological Dating Methods
131
12 New Experimental and Statistical Methods of Dating Ancient
140
mentioned in the Bible
152
13 Construction of the Global Chronological Diagram and Certain
162
14 The Dark Ages in Medieval History
180
Index
203
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