Un Recorrido de Estudio e Investigación para el aprendizaje del concepto devariable aleatoria discreta mediante métodos de Monte Carlo

[EN] The concept of random variable is a mathematical construct that presents some theoretical complexity. However,learning this concept can be facilitated if it is presented as the end of a sequential process of modeling of a realevent. More speci cally, to learn the concept of discrete random vari...

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Detalles Bibliográficos
Autores: Estruch Fuster, Vicente Domingo, Vidal Meló, Anna, Boigues Planes, Francisco José|||0000-0002-0899-2310
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:español
OAI Identifier:oai:riunet.upv.es:10251/90052
Acceso en línea:https://riunet.upv.es/handle/10251/90052
Access Level:acceso abierto
Palabra clave:Variable aleatoria discreta
Modelización
Simulación
Métodos de Monte Carlo
Microsoft Excel
Matlab
Discrete random variable
Modeling
Simulation
Monte Carlo methods
Descripción
Sumario:[EN] The concept of random variable is a mathematical construct that presents some theoretical complexity. However,learning this concept can be facilitated if it is presented as the end of a sequential process of modeling of a realevent. More speci cally, to learn the concept of discrete random variable, the Monte Carlo simulation can providean extremely useful tool because in the process of modeling / simulation one can approach the theoretical conceptof random variable, while the random variable is observed \in action". This paper presents a Research and StudyCourse (RSC) based on series of activities related to random variables such as training and introduction of si-mulation elements, then the construction of the model is presented, which is the substantial part of the activity,generating a random variable and its probability function. Starting from a simple situation related to reproductionand survival of the litter of a rodent, with random components, step by step, the model that represents the realraised situation is built obtaining an \original" random variable. In the intermediate stages of the construction ofthe model have a fundamental role the uniform discrete and binomial distributions. The trajectory of these stagesallows reinforcing the concept of random variable while exploring the possibilities o ered by Monte Carlo methodsto simulate real cases and the simplicity of implementing these methods by means of the Matlabcprogramminglanguage.