バイオメトリクスと生物統計学ジャーナル

On The Record Values Property of Muth-Pareto Distribution and other Related Inference

Abstract

Sirajo M*, Yahaya A and Doguwa SIS

We propose in this paper, a brief review of Muth-Pareto distribution. More precisely, we discuss the concept of record values and give a treatment of some selected properties of the distribution. The properties considered include the quartiles from quantile function, entropy, and limiting distribution of minimum order statistic.We provide some plots for the distribution of lower record values and studied the behavior by varying number of record values in the sample. It was observed that variability decreases by way of increasing number of record values in the sample. The quartiles relatedto the Muth-Pareto distributionweretabularized for some selected parameter values. It is our hope that the discoveries of this paper will be beneficialfor practitioners and also a source of reference for users so as to enhanceresearch interests related to Muth- Pareto distribution and its applications.