  We found that fluctuations in the number of emitters lead to a super-thermal
photon statistics of small LEDs in a linear regime, with a strong emitter-field
coupling and a bad cavity favorable for collective effects. A simple analytical
expression for the second-order correlation function g_2 is found. g_2 increase
up to g_2=6 in the two-level LED model is predicted. The super-thermal photon
statistics is related to the population fluctuation increase of the spontaneous
emission to the cavity mode.
