Sanz-Solé, MartaCarbó Torrents, Guillem2022-09-222022-09-222022-06-13https://hdl.handle.net/2445/189262Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Marta Sanz-Solé[en] In this work, using as a base concept the statement of the classic Central limit theorem, we will study under which additional conditions the theorem still holds if, in the original statement, we neglect some of the hypothesis that appear in it. As an application of the previous topics, we will state and proof a theorem that answers a basic and common question that comes to mind when talking about convergence: the possibility of finding a bound, as best as possible, such that it gives us relevant information about the absolute error between the approximation and its limit.41 p.application/pdfcatcc-by-nc-nd (c) Guillem Carbó Torrents, 2022http://creativecommons.org/licenses/by-nc-nd/3.0/es/Teoria de la mesuraTreballs de fi de grauTeorema del límit centralAnàlisi funcionalProbabilitatsMeasure theoryBachelor's thesesCentral limit theoremFunctional analysisProbabilitiesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess