  Recently it has been shown that one of the basic parameters of the neutrino
sector, so called theta13 angle is very small, but quite probably non-zero. We
argue that the small value of theta13 can still be reproduced easily by a wide
spectrum of randomly generated models of neutrino masses. For that we consider
real and complex neutrino mass matrices, also including sterile neutrinos. A
qualitative difference between results for real and complex mass matrices in
the region of small theta13 values is observed. We show that statistically the
present experimental data prefers random models of neutrino masses with sterile
neutrinos.
