Determination and economic design of repetitive group sampling plan under two parameter Lindley distribution

References

• Al-Nasser, A. D., & Obeidat, M. A. (2020). Acceptance sampling plans from truncated life test based on Tsallis q-exponential distribution. Journal of Applied Statistics, 47(4), 685–697. https://doi.org/10.1080/02664763.2019.1650254
   PubMed Web of Science ®Google Scholar
• Al-Omari, A. I. (2018). The transmuted generalized inverse Weibull distribution in acceptance sampling plans based on life tests. Transactions on the Institute of Measurement and Control, 40(16), 4432–4443. https://doi.org/10.1177/0142331217749695
   Web of Science ®Google Scholar
• Al-Omari, A. I., Al-Nasser, A. D., & Gogah, F. S. (2016). Double acceptance sampling plan for time-truncated life tests based on half normal distribution. Economic Quality Control, 31(2), 93–99. https://doi.org/10.1515/eqc-2016-0004
   Google Scholar
• Arizono, I., Okada, Y., Tomohiro, R., & Takemoto, Y. (2016). Rectifying inspection for acceptable quality loss limit based on variable repetitive group sampling plan. International Journal of Advanced Manufacturing Technology, 85(9–12), 2413–2423. https://doi.org/10.1007/s00170-015-8090-2
   Web of Science ®Google Scholar
• Aslam, M., Azam, M., & Jun, C. H. (2013). A mixed repetitive sampling plan based on process capability index. Applied Mathematical Modelling, 37(24), 10027–10035. https://doi.org/10.1016/j.apm.2013.05.058
   Web of Science ®Google Scholar
• Aslam, M., Jeyadurga, P., Balamurali, S., Azam, M., & Al-Marshadi, A. H. (2021). Economic determination of modified multiple dependent state sampling plan under some lifetime distributions. Journal of Mathematics, Article ID 7470196, 2021, 1–13. https://doi.org/10.1155/2021/7470196
   Web of Science ®Google Scholar
• Aslam, M., Kundu, D., & Ahmad, M. (2010). Time truncated acceptance sampling plans for generalized exponential distribution. Journal of Applied Statistics, 37(4), 555–566. https://doi.org/10.1080/02664760902769787
   Web of Science ®Google Scholar
• Aslam, M., Niaki, S. T. A., Rasool, M., & Fallah Nezhad, M. S. (2012). Decision rule of repetitive acceptance sampling plans assuring percentile life. Scientia Iranica E, 19(3), 879–884. https://doi.org/10.1016/j.scient.2012.02.012
   Web of Science ®Google Scholar
• Balakrishnan, N., Leiva, V., & Lopez, J. (2007). Acceptance sampling plans from truncated life tests based on the generalized Birnbaum–Saunders distribution. Communications in Statistics - Simulation and Computation, 36(3), 643–656. https://doi.org/10.1080/03610910701207819
   Web of Science ®Google Scholar
• Balamurali, S., Aslam, M., & Jun, C. H. (2014). Economic design of SkSP-R skip-lot sampling plan. Journal of Testing and Evaluation, 43(5), 1205–1210. https://doi.org/10.1520/JTE20140081
   Web of Science ®Google Scholar
• Balamurali, S., Jeyadurga, P., & Usha, M. (2017). Designing of multiple deferred state sampling plan for generalized inverted exponential distribution. Sequential Analysis-Design Methods and Applications, 36(1), 76–86. https://doi.org/10.1080/07474946.2016.1275459
   Web of Science ®Google Scholar
• Balamurali, S., Jeyadurga, P., & Usha, M. (2018). Economic design of quick switching sampling system for assuring Weibull distributed mean life. Communications in Statistics-Theory and Methods, 47(2), 385–398. https://doi.org/10.1080/03610926.2017.1303738
   Web of Science ®Google Scholar
• Balamurali, S., & Jun, C. H. (2006). Repetitive group sampling procedure for variables inspection. Journal of Applied Statistics, 33(3), 327–338. https://doi.org/10.1080/02664760500446010
   Web of Science ®Google Scholar
• Balamurali, S., Park, H., Jun, C. H., Kim, K. J., & Lee, J. (2005). Designing of variables repetitive group sampling plan involving minimum average sample number. Communications in Statistics - Simulation and Computation, 34(3), 799–809. https://doi.org/10.1081/SAC-200068424
   Web of Science ®Google Scholar
• Chiu, W. K., & Wetherill, G. B. (1973). The economic design of continuous inspection procedures: A review paper. International Statistical Review, 41(3), 357–373. https://doi.org/10.2307/1402624
   Web of Science ®Google Scholar
• Costa, A. F. B. (2023). Comparing the sequential and the repetitive Cpk sampling plans. Quality and Reliability Engineering International, 39(7), 2869–2880. https://doi.org/10.1002/qre.3395
   Web of Science ®Google Scholar
• Fallah Nezhad, M. S., Jafari Nodoushan, T., Owlia, M. S., & Abooie, M. H. (2017). Designing an economic repetitive sampling plan in the presence of two markets. IJE Transactions A: Basics, 30(7), 1017–1028.
   Google Scholar
• Fallah Nezhad, M. S., & Nesaee, M. (2021). Development of a new variable repetitive group sampling plan based on EWMA yield index. Scientia Iranica E, 28(4), 2457–2470.
   Web of Science ®Google Scholar
• Fallah Nezhad, M. S., & Seifi, S. (2017). Repetitive group sampling plan based on the process capability index for the lot acceptance problem. Journal of Statistical Computation and Simulation, 87(1), 29–41. https://doi.org/10.1080/00949655.2016.1189553
   Web of Science ®Google Scholar
• Ghitany, M. E., Alqallaf, F., Al-Mutairi, D. K., & Husain, H. A. (2011). A two-parameter weighted Lindley distribution and its applications to survival data. Mathematics and Computers in Simulation, 81(6), 1190–1201. https://doi.org/10.1016/j.matcom.2010.11.005
   Web of Science ®Google Scholar
• Ghitany, M. E., Atieh, B., & Nadarajah, S. (2008). Lindley distribution and its application. Mathematics and Computers in Simulation, 78(4), 493–506. https://doi.org/10.1016/j.matcom.2007.06.007
   Web of Science ®Google Scholar
• Hamurkaroğlu, C., Yiğiter, A., & Danacıoğlu, N. (2020). Single and double acceptance sampling plans based on the time truncated life tests for the compound Weibull-exponential distribution. Journal of the Indian Society for Probability and Statistics, 21(2), 387–408. https://doi.org/10.1007/s41096-020-00087-7
   Google Scholar
• Hsu, L. F., & Hsu, J. T. (2012). Economic design of acceptance sampling plans in a two-stage supply chain. Advances in Decision Sciences, 2012, 1–14. https://doi.org/10.1155/2012/359082
   Google Scholar
• Hu, M., & Gui, W. (2018). Acceptance sampling plans based on truncated life tests for Burr type X distribution. Journal of Statistics and Management Systems, 21(3), 323–336. https://doi.org/10.1080/09720510.2017.1413044
   Web of Science ®Google Scholar
• Jeyadurga, P., & Balamurali, S. (2022). Designing of variables repetitive group sampling plan for consumer protection. Journal of Statistical Computation and Simulation, 92(10), 2141–2155. https://doi.org/10.1080/00949655.2021.2022150
   Web of Science ®Google Scholar
• Jeyadurga, P., & Balamurali, S. (2023). Determination of new multiple deferred state sampling plan with economic perspective under Weibull distribution. Journal of Applied Statistics, 50(13), 2796–2816. https://doi.org/10.1080/02664763.2022.2091526
   PubMed Web of Science ®Google Scholar
• Jun, C. H., Lee, H., Lee, S. H., & Balamurali, S. (2010). A variables repetitive group sampling plan under failure-censored reliability tests for Weibull distribution. Journal of Applied Statistics, 37(3), 453–460. https://doi.org/10.1080/02664760802715914
   Web of Science ®Google Scholar
• Kannan, G., Jeyadurga, P., & Balamurali, S. (2021). Economic design of repetitive group sampling plan based on truncated life test under exponentiated half logistic distribution. Quality Engineering, 33(2), 335–347. https://doi.org/10.1080/08982112.2020.1867176
   Web of Science ®Google Scholar
• Kannan, G., Jeyadurga, P., & Balamurali, S. (2022a). Economic design of multiple deferred (dependent) state repetitive group sampling plan based on truncated life test under exponentiated half logistic distribution. Sequential Analysis-Design Methods and Applications, 41(1), 20–34. https://doi.org/10.1080/07474946.2022.2043046
   Web of Science ®Google Scholar
• Kannan, G., Jeyadurga, P., & Balamurali, S. (2022b). Economic design of repetitive group sampling plan based on truncated life test under Birnbaum-Saunders distribution. Communications in Statistics - Simulation and Computation, 51(12), 7334–7350. https://doi.org/10.1080/03610918.2020.1831538
   Web of Science ®Google Scholar
• Lee, A. H. I., Wu, C. W., & Chen, Y. W. (2016). A modified variables repetitive group sampling plan with the consideration of preceding lots information. Annals of Operations Research, 238(1–2), 355–373. https://doi.org/10.1007/s10479-015-2064-5
   Web of Science ®Google Scholar
• Lieblein, J., & Zelen, M. (1956). Statistical investigation of the fatigue life of deep-groove ball bearings. Journal of Research of the National Bureau of Standards, 57(5), 273–316. https://doi.org/10.6028/jres.057.033
   Google Scholar
• Lindley, D. V. (1958). Fiducial distributions and Bayes’ theorem. Journal of the Royal Statistical Society, Series B, 20(1), 102–107. https://doi.org/10.1111/j.2517-6161.1958.tb00278.x
   Google Scholar
• Lindley, D. V. (1965). Introduction to probability and statistics from a bayesian viewpoint, part II: Inference. Cambridge University Press.
   Google Scholar
• Liu, S. W., & Wu, C. W. (2022). Yield-based variables repetitive group plan with a critical-value-adjusted mechanism. Quality and Reliability Engineering International, 38(6), 3017–3032. https://doi.org/10.1002/qre.3004
   Web of Science ®Google Scholar
• Lu, X., Gui, W., & Yan, J. (2013). Acceptance sampling plans for half normal distribution under truncated life tests. American Journal of Mathematical & Management Sciences, 32(2), 133–144. https://doi.org/10.1080/01966324.2013.846051
   Google Scholar
• Mahmood, Y., Fatima, S., Khan, H., Amir, H., Khoo, M. B. C., & Teh, S. Y. (2021). Acceptance sampling plans based on Topp-Leone Gompertz distribution. Computers & Industrial Engineering, 159, 107526. https://doi.org/10.1016/j.cie.2021.107526
   Web of Science ®Google Scholar
• Marques, R. A. M., Maciel, A. C., Costa, A. F. B., & Santos, K. R. D. S. (2024). The design of the mixed repetitive sampling plans based on the Cpk index. International Journal of Quality & Reliability Management, 41(2), 674–697. https://doi.org/10.1108/IJQRM-07-2022-0231
   Web of Science ®Google Scholar
• Nadarajah, S., Bakouch, H. S., & Tahmasbi, R. (2011). A generalized Lindley distribution. Sankhya B, 73(2), 331–359. https://doi.org/10.1007/s13571-011-0025-9
   Google Scholar
• Nadi, A. A., & Gildeh, B. S. (2019). A group multiple dependent state sampling plan using truncated life test for the Weibull distribution. Quality Engineering, 31(4), 553–563. https://doi.org/10.1080/08982112.2018.1558250
   Web of Science ®Google Scholar
• Rao, G. S., & Kirigiti, P. J. (2023). Repetitive sampling inspection plan for cancer patients using exponentiated half-logistic distribution under indeterminacy. Scientific Reports, 13(1), 13743. https://doi.org/10.1038/s41598-023-40445-6
   PubMed Web of Science ®Google Scholar
• Saha, M., Tripathi, H., & Dey, S. (2021). Single and double acceptance sampling plans for truncated life tests based on transmuted Rayleigh distribution. Journal of Industrial and Production Engineering, 38(5), 356–368. https://doi.org/10.1080/21681015.2021.1893843
   Web of Science ®Google Scholar
• Samuel, B. R., Balamurali, S., & Aslam, M. (2018). Designing of repetitive group sampling plan under truncated life test based on generalized inverted exponential distribution. Journal of Statistics and Management Systems, 21(6), 955–970. https://doi.org/10.1080/09720510.2018.1461785
   Web of Science ®Google Scholar
• Shanker, R., Fesshaye, H., & Sharma, S. (2016). On quasi Lindley distribution and its applications to model lifetime data. International Journal of Statistical Distributions and Applications, 2(1), 1–7. https://doi.org/10.11648/j.ijsd.20160201.11
   Google Scholar
• Shanker, R., Sharma, S., & Shanker, R. (2013). A two-parameter Lindley for modeling waiting and survival times data. Applied Mathematics, 4(2), 363–368. https://doi.org/10.4236/am.2013.42056
   Google Scholar
• Shee, A. K., & Richard Cassady, C. (2006). Assessing the economic performance of continuous sampling plans. Quality Technology & Quantitative Management, 3(1), 45–54. https://doi.org/10.1080/16843703.2006.11673099
   Google Scholar
• Sherman, R. E. (1965). Design and evaluation of a repetitive group sampling plan. Technometrics, 7(1), 11–21. https://doi.org/10.1080/00401706.1965.10490222
   Web of Science ®Google Scholar
• Smith, R. L., & Naylor, J. C. (1987). A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution. Journal of the Royal Statistical Society ( Applied Statistics)36(3), 358–369. https://doi.org/10.2307/2347795
   Google Scholar
• Tripathi, H., Dey, S., & Saha, M. (2021). Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution. Journal of Applied Statistics, 48(7), 1227–1242. https://doi.org/10.1080/02664763.2020.1759031
   PubMed Web of Science ®Google Scholar
• 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. https://doi.org/10.1080/02664760600679700
   Web of Science ®Google Scholar
• Usha, M., & Balamurali, S. (2019). Economic design of quick switching sampling system for resubmitted lots. Communications in Statistics-Theory and Methods, 48(16), 4019–4033. https://doi.org/10.1080/03610926.2018.1484141
   Web of Science ®Google Scholar
• Usha, M., & Balamurali, S. (2022). Economic design of quick switching sampling system for resubmitted lots under gamma-Poisson distribution. American Journal of Mathematical & Management Sciences, 41(1), 24–37. https://doi.org/10.1080/01966324.2021.1903369
   Google Scholar
• Wall, M. S., & Elshennawy, A. K. (1989). Economically-based acceptance sampling plans. Computers & Industrial Engineering, 17(1–4), 340–346. https://doi.org/10.1016/0360-8352(89)90085-5
   Web of Science ®Google Scholar
• Wetherill, G. B., & Chiu, W. K. (1975). A review of acceptance sampling schemes with emphasis on the economic aspect. International Statistical Review, 43(2), 191–210. https://doi.org/10.2307/1402898
   Web of Science ®Google Scholar
• Wu, C. W., Lee, A. H. I., & Liu, S. W. (2022). A repetitive group sampling plan based on the lifetime performance index under gamma distribution. Quality and Reliability Engineering International, 38(4), 2049–2064. https://doi.org/10.1002/qre.3060
   Web of Science ®Google Scholar
• Wu, C. W., Shu, M. H., & Wu, N. Y. (2021). Acceptance sampling schemes for two-parameter Lindley lifetime products under a truncated life test. Quality Technology and Quantity Management, 18(3), 382–395. https://doi.org/10.1080/16843703.2020.1846269
   Web of Science ®Google Scholar