# Words ranking and Hirsch index for identifying the core of the hapaxes in political texts

Journal article

Ficcadenti, V., Cerqueti, R., Ausloos, M. and Dhesi, G. (2020). Words ranking and Hirsch index for identifying the core of the hapaxes in political texts.

*Journal of Informetrics.*14 (3), pp. 101054-101054.

Authors | Ficcadenti, V., Cerqueti, R., Ausloos, M. and Dhesi, G. |
---|---|

Abstract | This paper deals with a quantitative analysis of the content of official political speeches. We study a set of about one thousand talks pronounced by the US Presidents, ranging from Washington to Trump. In particular, we search for the relevance of the rare words, i.e. those said only once in each speech – the so-called hapaxes. We implement a rank-size procedure of Zipf–Mandelbrot type for discussing the hapaxes’ frequencies regularity over the overall set of speeches. Starting from the obtained rank-size law, we define and detect the core of the hapaxes set by means of a procedure based on an Hirsch index variant. We discuss the resulting list of words in the light of the overall US Presidents’ speeches. We further show that this core of hapaxes itself can be well fitted through a Zipf–Mandelbrot law and that contains elements producing deviations at the low ranks between scatter plots and fitted curve – the so-called king and vice-roy effect. Some socio-political insights are derived from the obtained findings about the US Presidents messages. |

Year | 2020 |

Journal | Journal of Informetrics |

Journal citation | 14 (3), pp. 101054-101054 |

Publisher | Elsevier BV |

ISSN | 1751-1577 |

Digital Object Identifier (DOI) | doi:10.1016/j.joi.2020.101054 |

Publication dates | |

Print | Aug 2020 |

Online | 31 May 2020 |

Publication process dates | |

Accepted | 13 May 2020 |

Deposited | 09 Jun 2020 |

Accepted author manuscript | License CC BY-NC-ND 4.0 File Access Level Open |

https://openresearch.lsbu.ac.uk/item/89yz3

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##### Tax revenues, fiscal corruption and “shame” costs

Cerqueti, R and Coppier, R (2009). Tax revenues, fiscal corruption and “shame” costs.*Economic Modelling.*26 (6), pp. 1239-1244.

##### A spatial mixed Poisson framework for combination of excess-of-loss and proportional reinsurance contracts

Cerqueti, R, Foschi, R and Spizzichino, F (2009). A spatial mixed Poisson framework for combination of excess-of-loss and proportional reinsurance contracts.*Insurance: Mathematics and Economics.*45 (1), pp. 59-64.

##### Companies' decisions for profit maximization: a structural model

Cerqueti, R and Rotundo, G. (2009). Companies' decisions for profit maximization: a structural model.*Applied Mathematical Sciences.*3 (27), pp. 1327-1340.

##### Asymptotic solutions of a generalized eigenvalue problem

Cerqueti, R. and Costantini, M. (2009). Asymptotic solutions of a generalized eigenvalue problem.*Applied Mathematical Sciences.*3 (60), pp. 2985-2999.

##### On the asymptotic behaviour of random matrices in a multivariate statistical model

Cerqueti, R and Costantini, M (2008). On the asymptotic behaviour of random matrices in a multivariate statistical model.*Statistics & Probability Letters.*78 (14), pp. 2039-2045.

##### Dynamics of financial time series in an inhomogeneous framework

Cerqueti, R and Rotundo, G (2007). Dynamics of financial time series in an inhomogeneous framework. in: Sibillo, M and Perna, C (ed.) Mathematical and statistical methods in insurance and finance Berlin Springer Verlag. pp. 67-74##### Productivity and costs for firms in presence of technology renewal processes

Cerqueti, R and Rotundo, G (2007). Productivity and costs for firms in presence of technology renewal processes.*International Transactions in Operational Research.*14 (6), pp. 521-534.

##### Microeconomic modeling of financial time series with long term memory

Cerqueti, R and Rotundo, G (2003). Microeconomic modeling of financial time series with long term memory.*2003 IEEE International Conference on Computational Intelligence for Financial Engineering. Proceedings.*IEEE. doi:10.1109/cifer.2003.1196260