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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 Aslam, M., Mughal, A.R. & Ahmed, M. 2011. Comparison of GASP for Pareto distribution of the 2nd kind using Poisson
and weighted Poisson distributions. International Journal
of Quality & Reliability Management 28(8): 867-884. Aslam, M., Mughal, A.R., Ahmed, M. & Yab,
Z. 2010a. Group acceptance sampling plan for Pareto distribution
of the second kind. Journal of Testing and Evaluation
38(2): 1-8. Aslam,
M., Mughal, A.R., Hanif, M. & Ahmed,
M. 2010b. Economic reliability
group acceptance sampling based on truncated life tests using
Pareto distribution of the second kind. Communications of the
Korean Statistical Society 17(5): 725-732. Baklizi, A. 2003. Acceptance sampling based on truncated
life tests in the Pareto distribution of the second kind. Advances
and Applications in Statistics 3(1): 33-48. Epstein, B. 1954.
Truncated life tests in the exponential case. Annals of Mathematical
Statistics 25: 555-564. Goode, H.P. &
Kao, J.H.K. 1961.
Sampling plans based on the Weibull distribution. In
Proceeding of the Seventh National Symposium on Reliability and
Quality Control, Philadelphia. pp. 24-40. Mughal, A.R. &
Ismail, M. 2013.
An economic reliability efficient group acceptance sampling plans
for family Pareto distributions. Research Journal of Applied
Sciences, Engineering and Technology 6(24): 4646-4652. Mughal, A.R. &
Aslam, M. 2011.
Efficient group acceptance sampling plans for family Pareto distribution.
Continental Journal of Applied Sciences 6(3): 40-52. Mughal, A.R.,
Hanif, M., Ahmed, M. & Rehman,
A. 2011.
Economic reliability acceptance sampling plans from truncated
life tests based on the Burr Type XII percentiles. Pakistan
Journal of Commerce and Social Sciences 5(1): 166-176. Pareto, V. 1897.
Cours
D’economie Politique.
Paris: Rouge et Cie. Radhakrishnan, R. & Mohana
Priya, L. 2008. Computation of CRGS plans using Poisson and Weighted
Poisson distribution. ProbStat
Forum 1: 50-61. Tsai, T.R. &
Wu, S.J. 2006.
Acceptance sampling based on truncated life tests for generalized
Rayleigh distribution. Journal of Applied Statistics 33(6):
595-600. *Pengarang untuk surat-menyurat; email: abdur_razzaque@live.com
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