A tour of probability distributions

Random variables have a probability distribution that under certain circumstances is given in terms of a known expression. Many times this formula is easily deduced from the context in which the random variable arises, while at other times it is not so clear. In this article, we seek to take a furth...

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Autor principal: Nores, María Laura
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2021
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Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/30460
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Sumario:Random variables have a probability distribution that under certain circumstances is given in terms of a known expression. Many times this formula is easily deduced from the context in which the random variable arises, while at other times it is not so clear. In this article, we seek to take a further step in understanding the most well-known probability distributions, trying to get deep into the motivation that gives them origin and in the deduction of their expression, also highlighting existing relationships between some distributions. In this way, the work contributes to provide elements to discern when it is reasonable to assume a certain distribution for a random variable under consideration.