Gamma-ray flux distributions of blazars from Fermi LAT light curve repository

We present gamma-ray flux distribution analyses of blazars from Fermi LAT Light Curve Repository (LCR) with Fermi All-sky Variability Analysis (FAVA). The flux distributions are well represented by a log-normal distribution. Alternatively, the flux distributions are represented by a convolution of a power law with a Poisson distribution. According to the various leptonic models that give the physical relationship between neutrinos and gamma rays, the power-law index presents how dominant the flaring contribution is to the neutrino emission. We perform a statistical study of the power-law flux distribution analysis to discuss the implications of gamma-ray blazars for high-energy neutrino emission, together with the log-normal distribution analysis.