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Sains Malaysiana 39(5)(2010):
845–850
LQ-moments:
Parameter Estimation for Kappa Distribution
(LQ-momen:
Anggaran Parameter untuk Taburan Kappa)
Ani
Shabri*
Department
of Mathematics, Universiti Teknologi Malaysia 81300 Johor, Malaysia
Abdul
Aziz Jemain
School
of Mathematical Sciences, Universiti Kebangsaan Malaysia
43600
Bangi, Selangor Malaysia
Received:
13 August 2009 / Accepted: 21 March 2010
ABSTRACT
Identification
of the true statistical distributions for various hydrologic data sets is a
major problem facing engineers. The four-parameter kappa distribution is a
combination of the established distribution including the Generalised Extreme
Value (GEV),
Generalised Logistic (GL),
Generalised Pareto (GP)
and the Gumbel distribution were considered in this study. The main objective
of this study was to develop the method of LQ-moments
for the kappa distribution. The performance of the LQ-moments
was compared with L-moments through eight problems using published data sets.
The results show that the performance of both methods, the LQ-moments
and L-moments worked equally well.
Keywords:
Kappa distribution; kernel quantile; L-moments; LQ-moments
ABSTRAK
Mengenalpasti
taburan yang sebenar untuk pelbagi set data hidrologi merupakan masalah utama
yangdihadapi oleh jurutera. Taburan kappa empat parameter adalah gabungan
taburan yang terkenal termasuk taburan GEV, GL, GP danGumbel dipertimbangkan dalam kajian
ini. Objektif utama kajian ini adalah untuk membangunkan kaedah LQ-momen
untuk taburan kappa. Keupayaan kaedah LQ-momen
dibandingkan dengan kaedah L-momen melalui lapan contoh permasalahan
menggunakan set data yang telah diterbitkan. Hasil kajian menunjukkan keupayaan
kaedah LQ-momen
adalah sama dengan kaedah LQ-momen.
Kata
kunci: Kuantil kernel; L-momen; LQ-momen;
taburan kappa
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*Corresponding author; email: ani@utm.my
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