Single-point measurements of fluctuations in the scrape-off layer of magnetized plasmas are generally found to be dominated by large-amplitude bursts which are associated with radial motion of blob-like structures. A stochastic model for these fluctuations is presented, with the plasma density given by a random sequence of bursts with a fixed wave form. Under very general conditions, this model predicts a parabolic relation between the skewness and kurtosis moments of the plasma fluctuations. In the case of exponentially distributed burst amplitudes and waiting times, the probability density function for the fluctuation amplitudes is shown to be a Gamma distribution with the scale parameter given by the average burst amplitude and the shape parameter given by the ratio of the burst duration and waiting times.Cross-field transport of particles and heat in the scrape-off layer (SOL) of non-uniformly magnetized plasmas is caused by radial motion of blob-like structures [1][2][3][4][5][6]. This results in singlepoint recordings dominated by large-amplitude bursts, which have an asymmetric wave form with a fast rise and a slow decay, and positively skewed and flattened amplitude probability density functions [7][8][9][10][11][12][13][14]. Measurements on a number of tokamak experiments have demonstrated that as the empirical discharge density is approached, the radial SOL particle density profile becomes broader and plasma-wall interactions increase [11][12][13][14][15].Probe measurements on Tokamakà Configuration Variable (TCV) have demonstrated a remarkable degree of universality of the plasma fluctuations in the far SOL region, which is dominated by radial motion of filament structures and a relative fluctuation level of order unity [10][11][12][13]. In particular, the amplitude distribution of the plasma fluctuations are found to be well described by a Gamma distribution across a broad range of plasma parameters and for all radial positions in the SOL [12]. Excellent agreement was found when comparing analysis of these data with turbulence simulations based on interchange motions [9][10][11].In this Letter, a stochastic model for intermittent fluctuations in the plasma SOL is presented