Weighted Exponential Distribution: Different Methods of Estimations

Authors

Fatemah Alqallaf, Department of Statistics and Operations Reasearch, Faculty of Science, Kuwait University, KuwaitFollow
M. E. Ghitany, Department of Statistics and Operations Reasearch, Faculty of Science, Kuwait University, KuwaitFollow
Claudio Agostinelli, Department of Environmental Sciences, Informatics and Statistics, C`a Foscari University, Venice, ItalyFollow

Author Country (or Countries)

Kuwait

Abstract

The aim of this paper is to compare through Monte Carlo simulations the finite sample properties of the estimates of the parameters of the weighted exponential distribution obtained by five estimation methods: maximum likelihood, moments, L-moments, ordinary least-squares, and weighted least-squares. The bias and mean-squared error are used as the criterion for comparison. The simulation study concludes that the last four estimation methods perform well and are highly competitive with the maximum likelihood method in small and large samples. This conclusion is also supported with the analysis of two real data sets.

Recommended Citation

Alqallaf, Fatemah; E. Ghitany, M.; and Agostinelli, Claudio (2015) "Weighted Exponential Distribution: Different Methods of Estimations," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 8.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/8