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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