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Life Cycle Reliability and Safety Engineering

, Volume 8, Issue 4, pp 337–345 | Cite as

A time-truncated two-stage group acceptance sampling plan for odds exponential log-logistic distribution

  • G. Srinivasa RaoEmail author
  • K. Kalyani
  • K. Rosaiah
  • D. C. U. Sivakumar
Original Research
  • 23 Downloads

Abstract

In this article, two-stage group acceptance sampling plan is developed assuming that the lifetime of the test units follows odds exponential log-logistic distribution and the life test is terminated at a prefixed time. The acceptance of the lot mainly depends on the number of failures observed from each group either in the first or second stage of sampling. We examine the quality of organizations necessary for each of the two stages of the proposed lifetime distribution as to slash the average sample number under the satisfactory constraints of producer’s and consumer’s risk together. The proposed plan is compared with the single-stage group acceptance sampling plan as a special case in terms of the average sample number and the operating characteristics.

Keywords

Acceptance sampling Producer’s and consumer’s risk Average sample number and operating characteristics 

Notes

References

  1. Aslam M (2007) Double acceptance sampling based on truncated life tests in Rayleigh distribution. Eur J Sci Res 7(4):605–610Google Scholar
  2. Aslam M, Jun C-H, Rasool M, Ahmad M (2010) A time truncated two-stage group sampling plan for Weibull distribution. Commun Korean Stat Soc 17:89–98Google Scholar
  3. Aslam M, Jun C-H, Ahmad M (2011) A two-stage group sampling plan based on truncated life tests for a general distribution. J Stat Comput Simul 81(12):1927–1938MathSciNetzbMATHCrossRefGoogle Scholar
  4. Azam M, Aslam M, Balamurali S, Javaid A (2015) Two stage group acceptance sampling plan for half normal percentiles. J King Saud Univ Sci 27(3):239–243CrossRefGoogle Scholar
  5. Baklizi A (2003) Acceptance sampling based on truncated life tests in the Pareto distribution of the second kind. Adv Appl Stat 3(1):33–48MathSciNetzbMATHGoogle Scholar
  6. Baklizi A, EI Masri AEK (2004) Acceptance sampling based on truncated life tests in the Birnbaum–Saunders model. Risk Anal 24(6):1453–1457CrossRefGoogle Scholar
  7. Balakrishnan N, Leiva V, Lopez J (2007) Acceptance sampling plans from truncated life tests based on the generalized Birnbaum–Saunders distribution. Commun Stat Simul Comput 36:643–656MathSciNetzbMATHCrossRefGoogle Scholar
  8. Epstein B (1954) Truncated life tests in the exponential case. Ann Math Stat 25(3):555–564MathSciNetzbMATHCrossRefGoogle Scholar
  9. Fertig FW, Mann NR (1980) Life-test sampling plans for two parameter Weibull populations. Technometrics 22(2):165–177zbMATHCrossRefGoogle Scholar
  10. Goode HP, Kao JHK (1961) Sampling plans based on the Weibull distribution. In: proceeding of the Seventh National Symposium on Reliability and Quality Control, Philadelphia, pp 24–40Google Scholar
  11. Gupta SS (1962) Life test sampling plans for normal and lognormal distributions. Technometrics 4(2):151–175MathSciNetzbMATHCrossRefGoogle Scholar
  12. Gupta SS, Groll PA (1961) Gamma distribution in acceptance sampling based on life tests. J Am Stat Assoc 56:942–970MathSciNetzbMATHCrossRefGoogle Scholar
  13. Kantam RRL, Rosaiah K (1998) Half logistic distribution in acceptance sampling based on life tests. IAPQR Trans 23(2):117–125zbMATHGoogle Scholar
  14. Kantam RRL, Rosaiah K, Rao GS (2001) Acceptance sampling based on life tests: log-logistic models. J Appl Stat 28(1):121–128MathSciNetzbMATHCrossRefGoogle Scholar
  15. Lio YL, Tsai T-R, Wu S-J (2009) Acceptance sampling plan based on the truncated life test in the Birnbaum Saunders distribution for percentiles. Commun Stat Simul Comput 39:119–136zbMATHCrossRefGoogle Scholar
  16. Lio YL, Tsai T-R, Wu S-J (2010) Acceptance sampling plans from truncated life tests based on the Burr type XII percentiles. J Chin Inst Ind Eng 27(4):270–280Google Scholar
  17. Prasad SVSVSV, Rosaiah K, Rao GS (2018) A Two stage group sampling plan based on truncated life tests for Type-II generalized log-logistic distribution. Int J Sci Res Math Stat Sci 5(6):228–243Google Scholar
  18. Priyah A, Sudamani R (2012) A two stage group acceptance sampling plans on truncated life tests for Marshall–Olkin extended disrtibutions. Int J Math Res 4(6):653–663Google Scholar
  19. Priyah A, Sudamani R (2015) A two stage group acceptance sampling plans based on truncated life tests using log-logistic and gamma distribution. J Progress Res Math 2(2):107–117Google Scholar
  20. Rao GS (2013) Acceptance sampling plans from truncated life tests based on the Marshall–Olkin extended exponential distribution for percentiles. Braz J Probab Stat 27(2):117–132MathSciNetzbMATHCrossRefGoogle Scholar
  21. Rao GS, Kantam RRL (2010) Acceptance sampling plans from truncated life tests based on the log-logistic distribution for percentiles. Econ Qual Control 25(2):153–167MathSciNetzbMATHCrossRefGoogle Scholar
  22. Rao GS, Ghitany ME, Kantam RRL (2008) Acceptance sampling plans for Marshall–Olkin extended Lomax distribution. Int J Appl Math 21(2):315–325zbMATHGoogle Scholar
  23. Rao GS, Rosaiah K, Sridhar Babu M, Siva Kumar DCU (2014) A two stage group sampling plan based on truncated life tests for a exponentiated Frechet distribution. Eur Sci J 10(33):145–160Google Scholar
  24. Razzaque AM, Hanif M, Imran AA, Rafi M, Munir A (2011) Economic reliability two stage group acceptance sampling plans for truncated life test having Weibull distribution. Eur J Sci Res 54(4):593–599Google Scholar
  25. Rosaiah K, Kantam RRL (2005) Acceptance sampling based on the inverse Rayleigh distribution. Econ Qual Control 20:277–286MathSciNetzbMATHCrossRefGoogle Scholar
  26. Rosaiah K, Kantam RRL, Santosh Kumar Ch (2006) Reliability of test plans for exponentiated log-logistic distribution. Econ Qual Control 21(2):165–175MathSciNetzbMATHCrossRefGoogle Scholar
  27. Rosaiah K, Rao GS, Kalyani K, Sivakumar DCU (2017) Odds exponential log logistic distribution: properties and estimation. J Math Stat 13(1):14–23CrossRefGoogle Scholar
  28. Sobel M, Tischendrof JA (1959) Acceptance sampling with sew life test objective. In: proceedings of fifth national symposium on reliability and quality control, Philadelphia, 108–118Google Scholar
  29. Sudamani AR, Sowmya N (2016) A Time truncated two stage acceptance sampling plan for compound Rayleigh distribution. Int J Math Appl 4(3A):73–80Google Scholar
  30. Tsai T-R, Wu S-J (2006) Acceptance sampling based on truncated life tests for generalized Rayleigh distribution. J Appl Stat 33(6):595–600MathSciNetzbMATHCrossRefGoogle Scholar
  31. Xia ZP, Yu JY, Cheng LD, Liu LF, Wang WM (2009) Study on the breaking strength of Jute fibres using modified Weibull distribution. Compos Part A Appl Sci Manuf 40:54–59CrossRefGoogle Scholar

Copyright information

© Society for Reliability and Safety (SRESA) 2019

Authors and Affiliations

  1. 1.Department of StatisticsAcharya Nagarjuna UniversityGunturIndia
  2. 2.Department of StatisticsThe University of DodomaDodomaTanzania

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