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Introduction to probability theory

R. Garcia-Bertrand, L. Baringo, A. García-Cerezo

En el libro Encyclopedia of Electrical and Electronic Power Engineering. Vol. 1. Electrical Engineering Technologies Mathematics for Electrical Engineering

Elsevier B.V., Ámsterdam, Países Bajos


Resumen:

This article introduces the probability theory, developing the concept of probability to model phenomena where the outcome is uncertain. Additionally, it is presented the concept of discrete and continuous random variables and the functions that describe the probability distribution, such as the probability mass function, the probability density function and the cumulative distribution function. Some useful continuous probability distributions, such as the uniform, normal, log-normal, chi-square and Weibull distribution, are presented and shown how they can be used to solve some practical electrical engineering problems.


Palabras clave: Probability; Statistics; Uncertainty; Random variables; Probability mass function; Probability density function; Cumulative distribution function; Mean; Variance; Standard deviation; Uniform distribution; Normal distribution; Log-normal distribution; Chi-square distribution; Weibull distribution


Editores: García, J.

ISBN: 978-0-12-821204-2

DOI: DOI icon https://doi.org/10.1016/B978-0-12-821204-2.00016-7

Publicado: 2022



Cita:
R. Garcia-Bertrand, L. Baringo, A. García-Cerezo, Introduction to probability theory, en Encyclopedia of Electrical and Electronic Power Engineering. Vol. 1. Electrical Engineering Technologies Mathematics for Electrical Engineering. Editores García, J.. Ed. Elsevier B.V.. Ámsterdam, Países Bajos, 2022.

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