Affiliations: [a] Department of Statistics, Islamia College, Peshawar, Pakistan
| [b] School of Statistics, University of Minnesota, Twin Cities, USA
| [c] Department of Statistics, University of Peshawar, Pakistan
Correspondence:
[*]
Corresponding author. Shumaila Ihtisham, Department of Statistics, Islamia College, Peshawar, Pakistan. Email:
[email protected].
Abstract: This study explores the distribution of order statistics of the Alpha Power Pareto (APP) distribution. Alpha Power Pareto is a more flexible distribution proposed by adding an extra parameter in the well-known Pareto distribution. This paper focuses on the derivation of single and product moment of the APP order statistics. Additionally, a recurrence link for single moments of order statistics is established. Moreover, analytical formulas of Rényi and q-entropy for APP order statistics are obtained.
Keywords: Order statistics, q-entropy, rényi entropy, recurrence relation, single and
product moments
