Sains Malaysiana 45(11)(2016): 1763–1772

 

Time Truncated Efficient Testing Strategy for Pareto Distribution of the 2nd Kind Using Weighted Poisson and Poisson Distribution

(Strategi Ujian Cekap Masa Terpangkas untuk Taburan Pareto Jenis ke-2 Menggunakan Taburan Poisson Berpemberat dan Poisson)

 

ABDUR RAZZAQUE MUGHAL*, ZAKIYAH ZAIN & NAZRINA AZIZ

 

Department of Mathematics and Statistics, School of Quantitative Sciences, UUM College of Arts and Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah Darul Aman, Malaysia

 

Diserahkan: 26 Ogos 2015/Diterima: 17 Mac 2016

 

 

ABSTRACT

In this study, group acceptance sampling plan (GASP) proposed by Aslam et al. (2011) is redesigned where the lifetime of test items are following Pareto distribution of 2nd kind. The optimal plan parameters are found by considering various pre-determined designed parameters. The plan parameters are obtained using the optimization solution and it also concludes that the proposed plan is more efficient than the existing plan as it requires minimum sample size.

 

Keywords: Consumer’s risk; group acceptance sampling; operating characteristic values; Poisson & Weighted Poisson distribution; producer’s risk

 

ABSTRAK

Dalam kajian ini, pelan pensampelan penerimaan kumpulan (GASP) yang dicadangkan oleh Aslam et al. (2011) direka semula dengan hayat item ujian mengikuti taburan Pareto jenis ke-2. Parameter optimum pelan boleh didapati dengan mengambil kira pelbagai parameter telah ditetapkan terlebih dahulu. Parameter pelan diperoleh menggunakan penyelesaian pengoptimuman dan ia membuat kesimpulan bahawa rancangan yang dicadangkan adalah lebih cekap daripada rancangan yang sedia ada kerana ia memerlukan saiz sampel yang minimum.

 

Kata kunci: Kumpulan penerimaan pensampelan; nilai ciri operasi; risiko pengeluar; risiko pengguna; taburan Poisson berpemberat & Poisson

RUJUKAN

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*Pengarang untuk surat-menyurat; email: abdur_razzaque@live.com

 

 

 

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