Parameter estimation for the log-logistic distribution based on order statistics

Mohammad Ahsanullah, Ayman Alzaatreh

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper, we discuss the moments and product moments of the order statistics in a sample of size n drawn from the log-logistic distribution. We provide more compact forms for the mean, variance and covariance of order statistics. Parameter estimation for the log-logistic distribution based on order statistics is studied. In particular, best linear unbiased estimators (BLUEs) for the location and scale parameters for the log-logistic distribution with known shape parameter are studied. Hill estimator is proposed for estimating the shape parameter.

Original languageEnglish
Pages (from-to)429-443
Number of pages15
JournalRevstat Statistical Journal
Volume16
Issue number4
Publication statusPublished - Oct 2018

Keywords

  • Best linear unbiased estimators
  • Hill estimator
  • Log-logistic distribution
  • Moments
  • Order statistics
  • Recurrence relations

ASJC Scopus subject areas

  • Statistics and Probability

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