American Review of Mathematics and Statistics

The Gompertz Inverse Pareto Distribution and Extreme Value Theory
Shakila Bashir, Itrat Batool Naqvi

Abstract
The Gompertz inverse Pareto (GoIP) distribution is derived using Gompertz G generator by introducing two new parameters. Some basic statistical properties of the model derived and discussed in details. The model parameter estimated using maximum likelihood estimation method. Moreover, the upper record values from the Gompertz inverse Pareto distribution are introduced and some properties have been discussed. Finally, simulation has been carried out form GoIP distribution and random numbers of 50 size are generated with a sample of size 15. Then the upper record has been noted among them and numerical values of the averages, dispersions of the upper records from GoIP have been presented.

Full Text: PDF     DOI: 10.15640/arms.v6n2a4