Graphic summary
  • Show / hide key
  • Information


Scientific and technological production
  •  

1 to 3 of 3 results
  • Bayesian analysis of frequency count data

     Font Valverde, Marti; Puig Oriol, Xavier; Ginebra Molins, Josep
    Journal of statistical computation and simulation
    Vol. 83, num. 2, p. 229-246
    DOI: 10.1080/00949655.2011.600311
    Date of publication: 2013-02
    Journal article

    Read the abstract Read the abstract View View Open in new window  Share Reference managers Reference managers Open in new window

    The zero truncated inverse Gaussian–Poisson model, obtained by first mixing the Poisson model assuming its expected value has an inverse Gaussian distribution and then truncating the model at zero, is very useful when modelling frequency count data. A Bayesian analysis based on this statistical model is implemented on the word frequency counts of various texts, and its validity is checked by exploring the posterior distribution of the Pearson errors and by implementing posterior predictive consistency checks. The analysis based on this model is useful because it allows one to use the posterior distribution of the model mixing density as an approximation of the posterior distribution of the density of the word frequencies of the vocabulary of the author, which is useful to characterize the style of that author. The posterior distribution of the expectation and of measures of the variability of that mixing distribution can be used to assess the size and diversity of his vocabulary. An alternative analysis is proposed based on the inverse Gaussian-zero truncated Poisson mixture model, which is obtained by switching the order of the mixing and the truncation stages. Even though this second model fits some of the word frequency data sets more accurately than the first model, in practice the analysis based on it is not as useful because it does not allow one to estimate the word frequency distribution of the vocabulary.

  • The Sichel Model and the mixing and truncation order

     Puig Oriol, Xavier; Ginebra Molins, Josep; Font Valverde, Marti
    Journal of Applied Statistics
    Vol. 37, num. 9, p. 1585-1603
    DOI: 10.1080/02664760903093617
    Date of publication: 2010
    Journal article

    Read the abstract Read the abstract View View Open in new window  Share Reference managers Reference managers Open in new window

    The analysis of word frequency count data can be very useful in authorship attribution problems. Zerotruncated generalized inverse Gaussian–Poisson mixture models are very helpful in the analysis of these kinds of data because their model-mixing density estimates can be used as estimates of the density of the word frequencies of the vocabulary. It is found that this model provides excellent fits for theword frequency counts of very long texts, where the truncated inverse Gaussian–Poisson special case fails because it does not allow for the large degree of over-dispersion in the data. The role played by the three parameters of this truncated GIG-Poisson model is also explored. Our second goal is to compare the fit of the truncated GIG-Poisson mixture model with the fit of the model that results from switching the order of the mixing and truncation stages. A heuristic interpretation of the mixing distribution estimates obtained under this alternative GIG-truncated Poisson mixture model is also provided.

  • ANALISIS DE DATOS COMPLEJOS

     Puig Oriol, Xavier; Valero Baya, Jordi; Fontdecaba Rigat, Sara; Ginebra Molins, Josep; Riba Civil, Alexandre; Font Valverde, Marti; Rodero De Lamo, Lourdes; Delicado Useros, Pedro Francisco
    Participation in a competitive project

     Share