Main Article Content
Abstract
This research reveals a group acceptance sampling plan (GASP) for lot resubmitting is designed for conditions wherein an item life is taken from the size biased Lomax distribution (SBLD). The plan parameters of the GASP are obtained by fulfilling the prefixed producer’s and consumer’s risks as per the test completion time and the number of testers. The projected plan needs a minimal sample size in comparison with the standard GASP. This proposed plan is justified with an example.
Keywords
Consumer’s risk
group acceptance sampling plan
size biased Lomax distribution
producer’s risk
resubmitted method
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following License
CC BY: This license allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use.
How to Cite
Gadde, S. R., & A, N. D. (2021). Group Acceptance Sampling Plan for Resubmitted Lots: Size Biased Lomax Distribution. Pakistan Journal of Statistics and Operation Research, 17(2), 357-366. https://doi.org/10.18187/pjsor.v17i2.3314
References
- Aslam, M., Jun, C.H., and Ahmad, M. (2009). A group sampling plan based on truncated life tests for gamma distribution, Pakistan Journal of Statistics, 25, 333-340.
- Aslam, M., and Jun, C.H. (2009a). A group sampling plan based on truncated life test having Weibull distribution, Journal of Applied Statistics,36, 1021-1027.
- 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(2), 107-119.
- Aslam, M., Jun, C.H., Lio, Y.L., Ahmad, M., and Rasool, M. (2011). Group acceptance sampling plans for resubmitted lots under Burr-type XII distributions, Journal of Chinese Institute of Industrial Engineers, 28(8), 606-615.
- Aslam, M., Kundu, D., Jun, C., and Ahmad, M. (2011). Time Truncated Group Acceptance Sampling Plans for Generalized Exponential Distribution, Journal of Testing and Evaluation, 39(4),671-677.
- 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.
- Balakrishnan, N., Leiva, V., and Lopez, J. (2007). Acceptance sampling plans from truncated life tests based on generalized Birnbaum-Saunders distribution, Communications in Statistics-Simulation and Computation,36, 643-656.
- Chhikara, R. S., and Folks, J. L. (1989). The Inverse Gaussian Distribution. Marcel Dekker, New York.
- Govindaraju, K., and Ganesalingam, S. (1997). Sampling inspection for resubmitted lots, Commun. Stat. Simulat, 26, 163-1176.
- Chiang, J-Y, Zhao, X., Yang, L., Wang, X., Tong, W. and Zhao, H. (2018). Group Acceptance Sampling Plans for Resubmitted Lots under the Kumaraswamy Burr XII Distribution, International Journal of Intelligent Technologies & Applied Statistics, 11(1), 57-72.
- Khalil, M. G. (2019), A New Distribution For Modeling Extreme Values, Journal of Data Science, 17(3),
- -503.
- Mughal, A.R., Zain, Z., and Aziz, N. (2015). Group Acceptance Sampling Plan for Re-Submitted Lots Under Generalized Pareto Distribution, Research Journal of Applied Sciences, Engineering and Technology, 10(5), 599-606.
- Rao, B.S., Kumar, CH.S., and Rosaiah, K. (2014). Group Acceptance Sampling Plans for Life Tests Based on Half Normal Distribution, Sri Lankan Journal of Applied Statistics,15(3),221-231.
- Rao, G.S. (2009a). A group acceptance sampling plans for truncated life tests for Marshall-Olkin extended Lomax distribution, Electronic Journal of Applied Statistical Analysis, 3(1), 18-28.
- Rao, G.S. (2009b). A Group Acceptance Sampling Plans for Lifetimes Following a Generalized Exponential Distribution, Economic Quality Control , 24(1), 75-85.
- Rao, G.S., Ghitany, M.E., and Kantam, R.R.L. (2008). Acceptance sampling plans for Marshall-Olkin extended Lomax distribution, International Journal of Applied Mathematics, 21, 315- 325.
- Rao, G.S., and Kantam, R.R.L. (2010). Acceptance sampling plans from truncated life tests based on log-logistic distribution for percentiles, Economic Quality Control, 25(2), 153-167.
- Rao, G.S., Rosaiah, K., and Babu, M.S. (2019). Group acceptance sampling plans for resubmitted lots under exponentiated Frechet distribution, International Journal of Computing Science and Mathematics, 10(1), 11-21.
- Rao, G.S., and Naidu, Ch. R. (2016).Group acceptance sampling plans for resubmitted lots under exponentiated half logistic distribution, Journal of Industrial and production Engineering, 33(2), 114-122.
- Rao, G.S., and Rao, B.S. (2014). Group acceptance sampling plans for resubmitted lots for life tests based on half logistic distribution, Journal of Data Science, 12, 647-660.
- Ravikumar, M.S., Kantam, R.R.L., and Nagadurgamamba, A. (2016). Acceptance Sampling Plans for Burr Type X Distribution, International Journal of Advanced Technology in Engineering and Science, 4(8), 36-44.
- Rosaiah, K., Rao, G.S., Kalyani, K. and Sivakumar, D.C.U. (2017), Group acceptance sampling plan for resubmitted lots based on life tests for odds exponential log logistic distribution, International Journal of Quality & Reliability Management, 34(8), 1343-1351.
- Subbarao, R., Nagadurgamamba, A. and Kantam, R.R.L. (2014), Acceptance Sampling Plans: Size Biased Lomax Model, Universal Journal of Applied Mathematics, 2(4), 76-183.