Distributions of Generalized Order Statistics and Parameters Estimation of Pareto Distribution in Statistical Explicit Forms

Samir K Safi; Rehab H Al Sheikh Ahmed

Article Details

Distributions of Generalized Order Statistics and Parameters Estimation of Pareto Distribution in Statistical Explicit Forms

Authors:

Samir K Safi | Rehab H Al Sheikh Ahmed

Publisher:

Islamic University of Gaza

Journal:

IUG Journal of Natural Studies Vol.22 Issue 2, pp.0-0

Document Type:

Article

Publication Date:

12/2015

Document Language:

Arabic

Document ID (Org No.):

2001390237

pISSN:

2790-1653

Abstract:

 Abstract : We study some distributions of generalized order statistics (GOS) for Pareto distribution. In particular, we have derived the joint probability density function (pdf) for GOS from Pareto distribution in statistical explicit form. In addition, the joint pdf of both range and midrange for GOS from Pareto distribution is obtained. The estimation of Pareto distribution parameters based on GOS using the method of Maximum Likelihood Estimators (MLE) have been derived in explicit forms. Furthermore, some special cases have been discussed. Keywords Pareto Distribution, Generalized Order Statistics, Ordinary Order Statistics, Maximum Likelihood Estimation.

Article Details

Distributions of Generalized Order Statistics and Parameters Estimation of Pareto Distribution in Statistical Explicit Forms

Authors: Samir K Safi | Rehab H Al Sheikh Ahmed

Publisher: Islamic University of Gaza

Journal: IUG Journal of Natural Studies Vol.22 Issue 2, pp.0-0

Document Type: Article

Publication Date: 12/2015

Document Language: Arabic

Document ID (Org No.): 2001390237

pISSN: 2790-1653

Issues

Authors:

Samir K Safi | Rehab H Al Sheikh Ahmed

Publisher:

Islamic University of Gaza

Journal:

IUG Journal of Natural Studies Vol.22 Issue 2, pp.0-0

Document Type:

Article

Publication Date:

12/2015

Document Language:

Arabic

Document ID (Org No.):

2001390237

pISSN:

2790-1653