TL-Moments and LQ-Moments of the Exponentiated Pareto Distribution
Samir K. Ashour, Ahmed A. El-sheik, Noura A. T. Abu El-Magd
Journal of Scientific Research and Reports · pp. 328–347 · Published 23 Oct 2014
10.9734/JSRR/2015/12047Abstract
The main concern of this paper is to derive the TL-moments (Trimmed Linear moments) of the exponentiated Pareto distribution (EPD) and use the TL-moments to estimate the unknown parameters of the EPD. Many special cases may be obtained such as L-moments (Linear moments), LH-moments (Linear Higher moments) and LL-moments (Linear Lower moments). Also, the LQ-moments (Linear Quantile moments) with the three cases (trimean, median and Gastwirth) will be obtained and used to estimate the unknown parameters of the EPD. The estimation of the EPD parameters is studied in numerical simulations where the method for obtaining TL-moment estimators is compared with other estimation methods (L-moment estimators, LQ-moment [trimean, median and Gastwirth] estimators, maximum likelihood estimators and the method of moment estimators). According to these comparisons, it is suggested that the method of L-moments is preferable for small sample size.
Cited by 1
Fatimah Assim Mahdi · AIP Conference Proceedings · 2023
Related research
- Computational Method for the Simulation of Duffing Oscillators — shares topic coverage
- Estimation of Logistic Parameters Using a Fuzzy Least-squares Method and Different Types of Moments — shares topic coverage
- Application of Hydrologic Engineering Centers Hydrologic Modeling System (HEC-HMS) Model for Modelling Flood in Sub Basin of Meenachil River, Kerala, India — shares topic coverage
- A Comparison between Fuzzy Log-logistic Parameters Estimators and Other Estimators — shares topic coverage
- Signs of Stability of the Arctic Sea Ice Thickness from Cryosat-2 — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
1
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.