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http://dx.doi.org/10.5351/CKSS.2011.18.4.403

Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime  

Aslam, Muhammad (Department of Statistics, Forman Christian College University)
Shoaib, Muhammad (Department of Statistics, GC University)
Khan, Hina (Department of Statistics, GC University)
Publication Information
Communications for Statistical Applications and Methods / v.18, no.4, 2011 , pp. 403-411 More about this Journal
Abstract
This paper deals with a group acceptance sampling plan for time truncated tests which are based on the total number of failures from the whole group assuming that the life time of an item follows the Dagum (inverse Burr) distribution. This study is developed when a multiple number of items as a group can be tested simultaneously in a tester. The minimum number of groups required for a given group size and acceptance number is determined such that the producer and consumer risks are satisfied simultaneously at the specified quality level, while the termination time and the number of testers are specified. Comparisons are made between the proposed plan and the existing plan on the basis of size of the groups. Two real examples are provided.
Keywords
Group acceptance sampling plan; Dagum distribution; consumer risk; producer risk; truncated life test;
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1 Rosaiah, K., Kantam, R. R. L. and Santosh Kumar, Ch. (2006). Reliability of test plans for exponentiated log-logistic distribution, Eco.Quality Control, 21, 165-175.
2 Rosaiah, K., Kantam, R. R. L. and Santosh Kumar, Ch. (2007). Exponentiated log-logistic distribution-An economic reliability test plan, Pakistan Journal of Statistics, 23, 147-146.
3 Srinivasa Rao, G., Ghitany, M. E., Kantam, R. R. L. (2009). Acceptance sampling plans for Marshal-Olkin extended Lomax distribution, International Journal of Applied Mathematics, 22, 139-148.
4 Tsai, T. R. and Wu, S. J. (2006). Acceptance sampling based on truncated life tests for generalized Rayleigh distribution, Journal of Applied Statistics, 33, 595-600.   DOI   ScienceOn
5 Vleek, B. L., Hendricks, R. C. and Zaretsky, E. V. (2003). Monto Carlo simulation of Sudden Death Bearing Testing, NASA, Hanover, MD, USA.
6 Fertig, F.W. and Mann, N. R. (1980). Life test sampling plans for two parameterWeibull populations, Technometrics, 22, 165-177.   DOI
7 Goode, H. P. and Kao, J. H. K. (1961). Sampling plans based on the Weibull distribution, In Proceeding of the Seventh National Symposium on Reliability and Quality Control, (24-40). Philadelphia.
8 Jun, C. H., Balamurali, S. and Lee, S. H. (2006). Variables sampling plans for Weibull distribution lifetimes under sudden death testing, IEEE Transactions on Reliability, 55, 53-58.   DOI   ScienceOn
9 Kantam, R. R. L. and Rosaiah, K. (1998). Half logistic distribution in acceptance sampling based on life tests, IAPQR Transactions, 23, 117-125.
10 Kantam, R. R. L., Rosaiah, K. and Rao, G. S. (2001). Acceptance sampling based on life tests: Log-logistic models, Journal of Applied Statistics, 28, 121-128.   DOI
11 Lio, Y. L., Tsai, Tzong-Ru andWu, Shuo-Jye. (2010a). Acceptance sampling plans from truncated life tests based on the Birnbaum-saunders distribution for Percentiles, Communications in Statistics - Simulation and Computation, 39, 119-136.
12 Aslam, M. and Jun, C.-H. (2009a). A group acceptance sampling plan for truncated life test having Weibull distribution, Journal of Applied Statistics (UK), 39, 1021-1027.
13 Lio, Y. L., Tsai, Tzong-Ru and Wu, Shuo-Jye. (2010b). Acceptance sampling plans from truncated life tests based on Burr type XII percentiles, Journal of Chinese institute of Industrial Engineers, 27, 270-280.   DOI
14 Pascual, F. G. and Meeker, W. Q. (1998). The modified sudden death test: Planning life tests with a limited number of test positions, Journal of Testing and Evaluation, 26, 434-443.   DOI   ScienceOn
15 Rosaiah, K. and Kantam, R. R. L. (2005). Acceptance sampling based on the inverse Rayleigh distribution, Economic Quality Control, 20, 277-286.   DOI
16 Aslam, M. and Jun, C. H. (2009b). A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh and log-logistic distributions, Pakistan Journal of Statistics, 25, 107-119.
17 Aslam, M. and Jun, C. H. (2010). A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters, Journal of Applied Statistics, 37, 405-414.   DOI   ScienceOn
18 Aslam, M. and Kantam, R. R. L. (2008). Economic reliability acceptance sampling based on truncated life tests in the Birnbaum-Saunders distribution, Pakistan Journal of Statistics, 24, 269-276.
19 Aslam, M. and Shahbaz, M. Q. (2007).Economic Reliability Tests Plans using the Generalized Exponential Distribution, Journal of Statistics, 14, 52-59.
20 Baklizi, A. (2003). Acceptance sampling based on truncated life tests in the Pareto distribution of the second kind, Advances and Applications in Statistics, 3, 33-48.
21 Epstein, B. (1954). Truncated life tests in the exponential case, Annals of Mathematical Statistics, 25, 555-564.   DOI
22 Balakrishnan, N., Leiva, V. and Lopez, J. (2007). Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution, Communications in Statistics - Simulation and Computation, 36, 643-656.   DOI   ScienceOn
23 Dagum, C. (1977). A new model of personal income distribution: specification and estimation, Economic Appliquee, 30, 413-437.
24 Domma, F. G., Latorre and Zenga, M. (2009). Reliability studies of Dagum distribution, submitted.
25 Aslam, M., (2008). Economic reliability acceptance sampling plan for generalized Rayleigh distribution, Journal of Statistics, 15, 26-35.