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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 Received: 26 August 2015/Accepted:
17 March 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 REFERENCES 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. *Corresponding author; email: abdur_razzaque@live.com
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