Distribution of Ratios of Generalized Order Statistics From Pareto Distribution and ‎Inference‎

Subject Areas : International Journal of Industrial Mathematics

M. Rajaei ‎Salmasi‎ ¹ , G. Yari ²

1 - Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
2 - Department of Mathematics, Iran University of Science and Technology, Tehran, Iran.

Received: 2016-12-01 Accepted : 2016-12-01 Published : 2017-11-01

Keywords: Generalized Order Statisitcs, Pareto Distribution, Parameter ‎Estimation,

Abstract :

‎The aim of this paper is to study distribution of ratios of generalized order statistics from pareto distribution. parameter estimation of Pareto distribution based on generalized order statistics and ratios of them have been obtained. Inferences using method of moments and unbiased estimator have been obtained to develop point estimations. Consistency of unbiased estimator has been illustrated. To compare the performances of the employed methods, numerical results have been computed. Illustrative example using real data is also ‎given.‎