THREE-PARAMETER LOGNORMAL DISTRIBUTION: PARAMETRIC ESTIMATION USING L-MOMENT AND TL-MOMENT APPROACH

Autor:	Ani Shabri, Basri Badyalina, Siti Sarah Abadan, Norhafizah Yusof, Nur Amalina Mat Jan, Shuhaida Ismail
Rok vydání:	2016
Předmět:	Ratio distribution Statistics Log-Cauchy distribution General Engineering Log-logistic distribution Noncentral chi-squared distribution Asymptotic distribution Compound probability distribution Distribution fitting Three-point estimation Mathematics
Zdroj:	Jurnal Teknologi. 78
ISSN:	2180-3722 0127-9696
Popis:	The three-parameter lognormal (LN3) distribution has been applied to the frequency analysis of flood events. L-moment and TL-moment methods are applied in estimating parameters of the LN3 distribution which are L-moment, η = 0 and TL-moment, η = 1, 2, 3, and 4 to the LN3 distribution. A simulation study is conducted in this paper by fitting this distribution to generate LN3 and non LN3 samples. Relative Root Mean Square Error (RRMSE) and relative bias are evaluated to illustrate the performance of this distribution. The performance of TL-moments approach was compared with L-moments based on the streamflow data from Sg. Trolak and Sg. Slim which are located in Perak, Malaysia. The results showed that TL-moments approach produced a better result at high quantile estimation compared to L-moments.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bd40fe5d7ad296545e78550819f5cc10 https://doi.org/10.11113/jt.v78.9202 Zobrazit plný text záznamu