ON PERFORMANCE OF ACCEPTANCE SAMPLING PLANS USING SEQUENTIAL PROBABILITY RATIO TEST BASED ON TRUNCATED LIFE TESTS USING SOME DISTRIBUTION FUNCTION
Abstract
Sequential sampling procedure constitute a powerful tool to achieve experimental efficiency a sequence of sample are taken from the lot and allow the number of samples to be determined entirely by the result of the sampling process, it forms the basis of numerous sequential technique for different applications which was the special case for multiple acceptance plans, the performance of sequential probability ratio test provides better detection for a wide range of source strength and useful in choosing the best statistical test, which take less time to make decision, was developed on the software reliability measure based on failure intensity for the life time random variable for a truncated life test. In this paper, we considered the performance of acceptance sampling plans using sequential probability ration (SPRT) based on truncated life tests on Maxwell distribution and exponential distribution function in terms of obtaining the minimum number of sample sizes necessary to obtain specified average life time under a given consumer’s and producer’s risk. The SPRT provide an alternative to fix the plans that can help diminish producer and consumer risk of reaching at a wrong decision.
References
Al-Masri AA (2018) Acceptance sampling plans based on truncated life tests in the inverse-gamma model. Electron J Appl Stat Anal ; 11(2): 397–404.
Al-Nasser AD, Gogah F. (2017) On using the median ranked set sampling for developing reliability test plans under generalized exponential distribution. Pak J Stat Oper Res 4: 757–774.
Al-Nasser AD, Gogah FS (2018) Median ranked acceptance sampling plans for exponential distribution. Afrika Matematika 229(3–4): 477–497.
Al-Omari AI (2014) Acceptance sampling plans based on truncated lifetime tests for transmuted inverse Rayleigh distribution. Econ Qual Control 31(2): 85–92.
Al-Omari AI (2014) Acceptance sampling plan based on truncated life tests for three parameter Kappa distribution. Econ Qual Control ; 29(1): 53–62.
Al-Omari AI (2015) Time truncated accepance sampling plans for generalized inverted exponential distribution. Electron J Appl Stat Anal 8(1): 1–12.
Al-Omari AI (2018) Improved acceptance sampling plans based on truncated life tests for Garima distribution. Int J Syst Assur Eng Manage 9(6): 1287–1293.
Al-Omari AI (2018) The transmuted generalized inverse Weibull distribution in acceptance sampling plans based on life tests. Trans Inst Meas Controll 40(16): 4432–4443.
Al-Omari AI (2018) Acceptance sampling plans based on truncated life tests for Sushila distribution. J Math Fundam Sci 50(1): 72–83.
Al-Omari AI, Al-Hadhrami SA (2018) Acceptance sampling plans based on truncated life tests for Extended Exponential distribution. Kuwait J 2018; 45(2): 89–99.
Al-Omari AI, Almanjahie IM, Kravchuk O (2021) Acceptance sampling plans with truncated life tests for the length-biased weighted Lomax distribution. Comput Mater Cont ; 67(1): 385–301.
Al-Omari AI, Al-Nasser AD, Ciavolino E ( 2020) Economic design of acceptance sampling plans for truncated life tests using three-parameter Lindley distribution. J Mod Appl Stat Meth 18(2): 1–15.
Al-Omari AI, Al-Nasser AD, Gogah FS (2016) Double acceptance sampling plan for time truncated life tests based on half-normal distribution. Econ Qual Control 2016; 31(2): 93–99.
Al-Omari AI, Al-Nasser AD, Gogah FS, et al. (2017) On exponentiated generalized inverse Rayleigh distribution based on truncated life tests in double acceptance sampling plan. Econ Qual Control ; 32(1): 37–47.
Al-Omari AI, Koyuncu N, Al-anzi ARA (2020) New acceptance sampling plans based on truncated life tests for Akash distribution with an application to electric carts data. IEEE Access ; 8: 201393–201403.
Al-Omari AI, Santiago A, Sautto A, et al (2018) New Weibull-Pareto distribution in acceptance sampling plans based on truncated life tests. Am J Math Stat (5): 144–150.
Al-Omari AI, Zamanzade E (2017) Double acceptance sampling plan for time truncated life tests based on transmuted generalized inverse Weibull distribution. J Stat Appl Prob 6(1): 1–6.
Al-Omari AI. (2016) Time truncated acceptance sampling plans for Generalized Inverse Weibull distribution. J Stat Manage Syst ; 19(1): 1–19.
Aslam M, Kundu D, Ahmad M (2010) Time truncated acceptance sampling plans for generalized exponential distribution. J Appl Stat 37(4): 555–556.
Baklizi A, El Masri A (2004) Acceptance sampling based on truncated life tests in the Birnbaum Saunders model. Risk Anal ; 24(6): 1453–1457.
Balamurali S, Aslam M (2019) Determination of multiple dependent state repetitive group sampling plan based on the process capability index. Seq Anal 38(3): 385–399.
Balamurali S, Aslam M, Ahmad L, et al (2020) A mixed double sampling plan based on Cpk. Commun Stat Theory Meth ; 49(8): 1840–1857.
Bhattacharya R, Aslam M (2019) Design of variables sampling plans based on lifetime performance index in presence of hybrid censoring scheme. J Appl Stat ; 46(16): 2975–2986.
Braimah OJ, Osanaiye PA, Edokpa IW (2016) Improved single truncated acceptance sampling plans for Weibull product life distributions. J Natl Assoc Math Phys ; 38: 451–460.
Butt KA, Aslam M, Wang FK. (2019) Selecting better process based on difference statistic using double sampling plan. Commun Stat Theory Meth 48(11): 2641–2656.
Dodge H.F. (1943) A sampling inspection plan for continuous production. Annals of Mathematical Statistics, 14, 264-279.
Gui W, Aslam M (2017) Acceptance sampling plans based on truncated life tests for weighted exponential distribution. Commun Stat Simul Comput 46(3): 2138–2151.
Gui W, Lu X (2018) Double acceptance sampling plan based on the Burr type X distribution under truncated life tests. Int J Ind Syst Eng 28(3): 319–330.
Gupta SS, Groll PA (1961) Gamma distribution in acceptance sampling based on life tests. J Am Stat Assoc ; 56: 942–970.
Joseph BO, Asanaiye OP (2017) Truncated hybrid double acceptance sampling plan for Weibull product life distribution. Am J Manage Sci Eng; 2(5): 80–88.
Kantam RRL, Rosaiah K, Rao GS (2001) Acceptance sampling based on life tests: log-logistic model. J Appl Stat ; 28: 121–128.
Malathi D, Muthulakshmi S (2017) Economic design of acceptance sampling plans for truncated life test using Frechet distribution. J Appl Stat ; 44(2): 376–384.
Shahbaz SH, Khan K, Shahba MQ (2018) Acceptance sampling plans for finite and infinite lot size under power Lindley distribution. Symmetry 10(10): 496: 1–13.
Triwijoyo, Bambang Krismono; Gaol, Ford Lumban; Soewito, Benfano; Warnars, Harco Leslie Hendric Spits (2017). [IEEE 2017 3rd International Conference on Science in Information Technology (ICSITech) - Bandung (2017.10.25-2017.10.26)] 2017 3rd International Conference on Science in Information Technology (ICSITech) - Software reliability measurement base on failure intensity. , (), 176–181. doi:10.1109/ICSITech.2017.8257106
Wald, A. (1947). Sequential Analysis. John Wiley and Sons.
Zoramawa AB, Musa Y, Usman U. (2019) Double acceptance sampling plans based on truncated life tests for the inverse Rayleigh distribution. Cont J Appl Sci 13(2): 18–28.
Zoramawa, A. B., Gulumbe S. U, (2021) On sequential probability sampling plan for a truncated life test using inverse Rayleigh distribution 15(1):1-7, 2021;doi: 10.9734/AJPAS/2021/v15il30339
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