ARTICLE
ABSTRACT
In this paper, we introduce a generalization-referred to as the beta Pareto distribution, generated from the logit of a beta random variable. We provide a comprehensive treatment of the mathematical properties of the beta Pareto distribution. We derive expressions for the kth moments of the distribution, variance, skewness, kurtosis, mean deviation about the mean, mean deviation about the median, Renyi entropy, Shannon entropy. We also discuss simulation issues, estimation of parameters by the methods of moments and maximum likelihood.
KEYWORDS
Beta Pareto distribution; Kurtosis; Renyi entropy
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