EM algorithm 1 Epsilon-skew-Cauchy 1 Epsilon-skew-Normal 1 Fisher information matrix 1 Humanities 1 Social interaction 1 Weibull censored data 1 asymmetric bimodal distribution 1 bimodal 1 bimodality 1 bivariate densities 1 fitting distributions 1 flexible skew-normal distribution 1 generalized Cauchy distributions 1 half-normal distribution 1 identifiability 1 kurtosis 1 likelihood 1 maximum likelihood 1 maximum likelihood estimates 1 maximum likelihood estimation 1 moments 1 normal distribution 1 ordering 1 positive and negative skewness 1 power-normal distribution 1 probabilistic distribution class skew Birnbaum–Saunders distribution 1 skewness coefficient 1 slashed half-normal distribution 1