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Change-point estimation in a multinomial sequence and homogeneity of literary style

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  • Alex Riba
  • Josep Ginebra

Abstract

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 misclassified by the change point.

Suggested Citation

  • Alex Riba & Josep Ginebra, 2005. "Change-point estimation in a multinomial sequence and homogeneity of literary style," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(1), pages 61-74.
    • Handle: RePEc:taf:japsta:v:32:y:2005:i:1:p:61-74
    DOI: 10.1080/0266476052000330295
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    Citations

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    Cited by:

    1. Oliver Johnson & Dino Sejdinovic & James Cruise & Robert Piechocki & Ayalvadi Ganesh, 2014. "Non-Parametric Change-Point Estimation using String Matching Algorithms," Methodology and Computing in Applied Probability, Springer, vol. 16(4), pages 987-1008, December.
    2. Alex Riba & Josep Ginebra, 2006. "Diversity of vocabulary and homogeneity of literary style," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(7), pages 729-741.
    3. Xavier Puig & Josep Ginebra & Marti Font, 2010. "The Sichel model and the mixing and truncation order," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1585-1603.

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