Book by Fomenko AT
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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.
These two volumes which concern mathematical statistical chronology represent a major, unique work and are the first of its kind published in the English language.
A comprehensive set of mathematical and statistical techniques is presented for the analysis of chronological data. These include, as main tool, the means to compare texts and other sequential data and the ability to judge them in terms of similarity and, hence, closeness. These techniques constitute a new important trend in applied statistics.
Volume I concentrates mainly on the development of the mathematical statistical tools and their application to astronomical data, including the Almagest and simulated data (to test the validity of the methods). Substantial material dealing with historical data and chronology is also included.
Volume II concentrates on the application of these tools to narrative texts and ancient and medieval records (such as Egyptian, Byzantine, Roman, Greek, Babylonian, etc.). An astonishing wealth of historical data is considered. The conclusions which are drawn concerning the accepted chronological dating of events in ancient history will certainly provoke controversy and serious debate. These two volumes provide the necessary background and material for intelligent participation in such debates.
For statisticians, historians, astronomers, archaeologists, and others with an interest in the integrity of historical dating and the means to analyze this.
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