Bimodal Class based on the Inverted Symmetrized Gamma Distribution with Applications

Asymmetric Bimodal Exponential Power Distribution on the Real Line

“…The proposed distributions are in [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 ] and references therein via using different generating techniques [ 27 ] to get a probability density function (PDF). In these distributions, -skew form of gamma distribution on the real line was proposed by [ 5 , 6 ]. The deficiency of these functions is that different height and shape of peakedness around location on the real line cannot be modelled separately.…”

“…The deficiency of these functions is that different height and shape of peakedness around location on the real line cannot be modelled separately. The model proposed by [ 6 ] has a bimodality with the same height, which is not flexible enough to model bimodal data with different height and shape of peakedness. The bimodal and alpha-skew Laplace distribution that does not model shape peakedness around location on the real line was proposed by [ 24 ].…”

“…Skewness parameter is also added to model asymmetry in data. Thus, modelling capacity of asymmetric bimodal exponential power (ABEP) distribution is better than current candidates proposed by [ 5 , 6 , 28 , 29 ] because ABEP distribution has parameters that control the fitting both sides of location separately.…”