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tfg_gonzalez_serrano_imma.pdf (1.47 MB)

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Bachelor thesis

Publication date

2024-01-17

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cc-by-nc-nd (c) Imma Gonzàlez Serrano, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/211124

The Poisson process and some of its applications

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Abstract

[en] In this document we study the Poisson Process and some of its applications. This is a point process which is intended to model situations where one has a set of independent random points in a space. This situation appears naturally in many circumstances and therefore, the process has been widely known for decades. Throughout the memoir, a list of the abundant applications in which the Poisson process is used is given, and some are explained in detail. In addition, using the theory explained during the thesis, the Poisson process in one dimension is also applied to try to predict the number of traffic accidents in Catalonia in a given time interval, as well as the number of associated fatalities.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Francesc Xavier Massaneda Clares

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Corbes el·líptiques, Varietats abelianes, Processos puntuals, Processos estocàstics, Treballs de fi de grau

Subject (English)

Elliptic curves, Abelian varieties, Point processes, Stochastic processes, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

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GONZÀLEZ SERRANO, Imma. The Poisson process and some of its applications. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/211124

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