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

 

Diserahkan: 13 Ogos 2009 / Diterima: 21 Mac 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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*Pengarang untuk surat-menyurat; email: ani@utm.my

 

 

 

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