Publication

Universal statistical properties of drift-interchange turbulence in TORPEX plasmas

Ambrogio Fasoli, Ivo Furno, Benoît Labit, Mario Ludovico Podesta, Francesca Maria Poli, Gennady Plyushchev
2007
Journal Articles

Abstract

A unique parabolic relation is observed to link skewness and kurtosis of around ten thousand density fluctuation signals, measured over the whole cross section of a toroidal magnetized plasma for a broad range of experimental conditions. All the probability density functions of the measured signals, including those characterized by a negative skewness, are universally described by a special case of the Beta distribution. Fluctuations in the drift-interchange frequency range are necessary and sufficient to assure that probability density functions can be described by this specific Beta distribution.

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https://infoscience.epfl.ch/entities/publication/c6b33ba9-ff6a-4f2a-8269-b87aca5cb628

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Ambrogio Fasoli, Ivo Furno, Benoît Labit, Mario Ludovico Podesta, Francesca Maria Poli, Gennady Plyushchev
2007
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/c6b33ba9-ff6a-4f2a-8269-b87aca5cb628

About this result

Related concepts (22)

Beta distribution

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1) in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution. The beta distribution has been applied to model the behavior of random variables limited to intervals of finite length in a wide variety of disciplines.

Probability distribution

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space). For instance, if X is used to denote the outcome of a coin toss ("the experiment"), then the probability distribution of X would take the value 0.5 (1 in 2 or 1/2) for X = heads, and 0.

Skewness

In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined. For a unimodal distribution, negative skew commonly indicates that the tail is on the left side of the distribution, and positive skew indicates that the tail is on the right. In cases where one tail is long but the other tail is fat, skewness does not obey a simple rule.

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