Notes. columns: (1) class, (2) parameter, (3) mean, (4) standard deviation, (5) reduced χ² value, (6) p-value of the reduced χ², (7) p-value of the K–S test. In both cases a follows a beta distribution and s follows a normal distribution for the BL Lacs and a log-normal for FSRQs. For the beta distribution the μ and σ are defined as μ = α/(α + β), σ² = αβ/[(α + β)²(α + β +1)] where α, β are the shape parameters. For the log-normal distribution the μ and σ are defined as μ = exp(loc + sc²/2), σ² = (exp(sc²) − 1) exp(2l + sc²) where l,sc are the location and scale parameters respectively.