Parameter Estimation for the Log-Logistic Distribution Based on Order Statistics

Authors

  • Mohammad Ahsanullah Rider University
  • Ayman Alzaatreh American University of Sharjah

DOI:

https://doi.org/10.57805/revstat.v16i4.250

Keywords:

log-logistic distribution, moments, order statistics, best linear unbiased estimators, recurrence relations, Hill estimator

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.

Published

2018-10-01

How to Cite

Ahsanullah , M., & Alzaatreh , A. (2018). Parameter Estimation for the Log-Logistic Distribution Based on Order Statistics. REVSTAT-Statistical Journal, 16(4), 429–443. https://doi.org/10.57805/revstat.v16i4.250

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