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Change-point Estimation in a Multinomial Sequence and Homogeneity of Literary Style

机译:多项式序列的变点估计与文学风格的同质性

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摘要

To help settle the debate around the authorship of Tirant lo Blanc, all the words in each chapter of that book are categorized according to their length and the appearance of various words is counted. The graphical exploration of the sequences of multinomial observations obtained reveals a clear single sudden change point that is consistently estimated to be between chapters 371 and 382 and might indicate a switch of author. Correspondence analysis indicates that at the end of the book the words tend to be longer and the frequency of various words changes significantly. By doing a cluster analysis of the multinomial observations, the evidence in favor of the existence of that stylistic boundary is strengthened, because the two clusters obtained match very closely the before and after change-point groups; only a few chapters at the end of the book appear to be mislassified by the change point.
机译:为了帮助解决有关Tirant lo Blanc著作权的辩论,该书每一章中的所有单词都根据其长度进行了分类,并计算了各个单词的出现次数。对获得的多项式观测序列的图形化探索揭示了一个明显的单一突变点,该突变点被一致地估计在第371章和第382章之间,并可能表明作者有所转变。对应分析表明,在书的最后,单词的长度趋于更长,并且各个单词的频率发生显着变化。通过对多项观测值进行聚类分析,可以加强支持该风格边界的证据,因为获得的两个聚类在变化点组之前和之后非常紧密地匹配;本书结尾处只有几章似乎被变更点误解了。

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