Alpha-Power Pareto distribution: Its properties and applications

PLoS One. 2019 Jun 12;14(6):e0218027. doi: 10.1371/journal.pone.0218027. eCollection 2019.

Abstract

In Statistical theory, inclusion of an additional parameter to standard distributions is a usual practice. In this study, a new distribution referred to as Alpha-Power Pareto distribution is introduced by including an extra parameter. Several properties of the proposed distribution, including moment generating function, mode, quantiles, entropies, mean residual life function, stochastic orders and order statistics are obtained. Parameters of the proposed distribution have been estimated using maximum likelihood estimation technique. Two real datasets have been considered to examine the usefulness of the proposed distribution. It has been observed that the proposed distribution outperforms different variants of Pareto distribution on the basis of model selection criteria.

MeSH terms

  • Humans
  • Models, Statistical*
  • Probability

Grants and funding

The authors received no specific funding for this work.