The effect of extreme values on Lomax distribution estimators with simulation

Document Type : Research Paper

Author

Department of Studies, Planning and Follow-up, Ministry of Higher Education and Scientific Research, Iraq

Abstract

The significant impact of the extreme values on the estimations of the statistical distributions leads to the fact that the adoption of these estimations in the estimation of many statistical functions such as (reliability, survival) and others is not strictly acceptable because of the high difference between the real and estimated values of these functions. The research included comparing several estimation methods for the Lomax distribution parameter according to different values of the sample size, the value of the distribution parameter and the estimation method. The simulation results showed the effect of the estimator values on the sample size, the value of the distribution parameter and the estimation method. Other estimation methods can be relied upon, as well as other statistical distributions to know the effect of extreme values on them.

Keywords

Volume 14, Issue 1
January 2023
Pages 451-458
  • Receive Date: 03 January 2022
  • Revise Date: 06 February 2022
  • Accept Date: 27 March 2022