We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Improved Shape Parameter Estimation for the Three-Parameter Log-Logistic Distribution.
- Authors
Mateus, Ayana; Caeiro, Frederico
- Abstract
The log-logistic distribution is widely used in different fields of study such as survival analysis, hydrology, insurance, and economics. Recently, Ahsanullah and Alzaatreh studied the best linear unbiased estimators for the location and the scale parameters of the three-parameter log-logistic model. The same authors also propose a shift-invariant Hill estimator for the unknown shape parameter. In this work, we propose a new estimation method for the shape parameter. We derive its nondegenerate asymptotic behaviour and analyse its finite sample performance through a Monte Carlo simulation study. To have precise estimates, we present a method for selecting the threshold. To illustrate the improvement achieved, efficiency comparisons are also provided.
- Subjects
LOGISTIC distribution (Probability); HYDROLOGY; NON-degenerate perturbation theory; MONTE Carlo method; DENSITY functionals
- Publication
Computational & Mathematical Methods, 2022, p1
- ISSN
2577-7408
- Publication type
Article
- DOI
10.1155/2022/8400130