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memoria.pdf (433.46 KB)

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Bachelor thesis

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2016-02-03

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cc-by-nc-nd (c) Guillem Tarragó Pascual, 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/98563

El procés de ramificació de Galton-Watson: el problema de l'extinció dels cognoms

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Abstract

From ancient times, people have been worried about the possibility of their lineages and surnames being extinguished. This question affected, above all, to the highest classes. Even though they looked for social and/or biological conditions at the beginning, the problem was focused from a statistic perspective during the 18th and 19th centuries. The main objective of our work is studying the mathematical model behind this question, known as the branching process of Galton-Watson. Once the main results of this theory have been developed, we will be able to calculate the extinction probability of a population or family, though also we will be able to estimate it from a set of empirical observations.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Carles Rovira Escofet

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Processos de ramificació, Treballs de fi de grau, Models matemàtics, Genealogia, Família, Noms propis

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Branching processes, Bachelor's theses, Mathematical models, Genealogy, Family, Proper names

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Treballs Finals de Grau (TFG) - Matemàtiques

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TARRAGÓ PASCUAL, Guillem. El procés de ramificació de Galton-Watson: el problema de l'extinció dels cognoms. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/98563

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