A theory of the probability distribution function (PDF) tails of the blob density in plasma edge turbulence is provided. A simplified model of the fast convective radial transport is used. The theoretically predicted PDF tails corroborate earlier measurements of edge transport, further confirming the strongly non-Gaussian feature of edge transport. It is found that increasing the cross-sectional spatial scale length (L-x and L-y) of the blob results in larger transport, whereas increasing the toroidal scale length (L-z) decreases the PDF. The results imply that the PDF decreases for larger blob speed v(b).