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This paper is aimed to contribute to the scientific discussions that havebeen triggered by the experimental observation of a quadratic relation betweenthe kurtosis and skewness of turbulent fluctuations present in fusion plasmasand other nonlinear physical systems. In this paper we offer a generalstatistical model which attributes the observed $K = aS^2 + b$ relation to thevarying intermittency of the experimental signals. The model is a two randomvariable model constructed to catch the essential intermittent feature of thereal signal. One of the variables is the amplitude of the underlyingintermittent event (e.g. turbulent structure) while the other is connected tothe intermittency level of the system. This simple model can attribute physicalmeaning to the $a$ and $b$ coefficients, as they characterize thespatio-temporal statistics of intermittent events. By constructing aparticle-conserving Gaussian model for the underlying coherent structures theexperimentally measured $a$ and $b$ coefficients could be adequatelyreproduced.

On the effect of intermittency of turbulence on the parabolic relation between skewness and kurtosis in magnetized plasmas