Asymmetric Bimodal Exponential Power Distribution on Real Line
نویسنده
چکیده
The asymmetric bimodal exponential power (ABEP) distribution is an extension of the 8 generalized gamma distribution to the real line via adding two parameters which fit the shape of 9 peakedness in bimodality on real line. The special values of peakedness parameters of the distribution 10 are combination of half Laplace and half normal distributions on real line. The distribution has 11 two parameters fitting the height of bimodality, so capacity of bimodality is enhanced by using 12 these parameters. Adding a skewness parameter is considered to model asymmetry in data. The 13 location-scale form of this distribution is proposed. The Fisher information matrix of these parameters 14 in ABEP is obtained explicitly. Properties of ABEP are examined. Real data examples are given to 15 illustrate the modelling capacity of ABEP. The replicated artificial data from maximum likelihood 16 estimates of parameters of ABEP and distributions having an algorithm for artificial data generation 17 procedure are provided to test the similarity with real data. 18
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Asymmetric Bimodal Exponential Power Distribution on the Real Line
The asymmetric bimodal exponential power (ABEP) distribution is an extension of the generalized gamma distribution to the real line via adding two parameters that fit the shape of peakedness in bimodality on the real line. The special values of peakedness parameters of the distribution are a combination of half Laplace and half normal distributions on the real line. The distribution has two par...
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