Estimation of the Parameters of Type-I Generalized Logistic Distribution Using Order Statistics

Abstract

In this work, we propose a technique of estimating the location parameter μ and scale parameter σ of Type-I generalized logistic distribution by U-statistics constructed by using best linear functions of order statistics as kernels. The efficiency comparison of the proposed estimators with respect to maximum likelihood estimators is also made.

Keywords:

• Best linear unbiased estimators based on order statistics
• Logistic distribution
• Maximum likelihood estimators
• Order statistics
• U-statistics

Mathematics Subject Classification:

• Primary 62F10
• Secondary 62G30