Mixture of Polisicchio’s truncated Pareto distributions with beta weights
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A new three-parameter density function f ðx : ; ; Þ for non-negative variables, obtained as a mixture of ‘‘Polisicchio’s truncated Pareto distributions’’, is proposed. The expectation of f ðx : ; ; Þ
is equal to the parameter > 0. The new density has positive asymmetry and Paretian right tail. The variance is equal to 2 3
ð þ 1Þ
½2 þ ð 1Þ
. The moments, the upper and lower truncated moments
(with truncation at x ¼ ), are compact expressions of beta functions.
Keywords: Income Distribution, Positive Asymmetry, Paretian Tail, Mixture Density, Beta Weights
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