Skip to main content

Acceptance Sampling from Truncated Life Tests

  • Chapter
  • First Online:
Testing and Inspection Using Acceptance Sampling Plans
  • 491 Accesses

Abstract

Acceptance sampling approach is helpful in reducing the cost and time of the inspection of a submitted product. In this modern era, the reliability of the products is very high. The experimenters may wait a long time to record the required numbers of failures. Therefore, the time truncated life tests in sampling plans are used to reach a decision quickly. In time truncated life tests, the number of failures and time of the experiment are fixed. In this chapter, we will focus on acceptance sampling plans under truncated life tests.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Aslam, M. (2008). Economic reliability acceptance sampling plan for generalized Rayleigh distribution. Journal of Statistics, 15(1), 26–35.

    MathSciNet  Google Scholar 

  • Aslam, M., & Jun, C.-H. (2009a). A group acceptance sampling plan for truncated life tests based the inverse Rayleigh distribution and log-logistics distribution. Pakistan Journal of Statistics, 25(2), 269–276.

    MathSciNet  Google Scholar 

  • Aslam, M., & Jun, C.-H. (2009b). A group acceptance sampling plan for truncated life test having Weibull distribution. Journal of Applied Statistics, 36(9), 1021–1027.

    Article  MathSciNet  Google Scholar 

  • Aslam, M., & Jun, C.-H. (2010). A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters. Journal of Applied Statistics (UK), 37(3), 405–414.

    Article  MathSciNet  Google Scholar 

  • Aslam, M., Jun, C.-H., & Ahmad, M. (2009). A group acceptance sampling plan based on truncated life test for gamma distributed items. Pakistan Journal of Statistics, 25(3), 333–340.

    MathSciNet  Google Scholar 

  • Aslam, M., Jun, C.-H., & Ahmad, M. (2010a). A double sampling plan for a reliability demonstration test. Journal of Statistical Theory and Application, 9(2), 295–309.

    MathSciNet  Google Scholar 

  • Aslam, M., Jun, C.-H., Lee, H., Ahmad, M., & Rasool, M. (2011a). Improved group sampling plans based on truncated life tests. The Chilean Journal of Statistics, 2(1), 85–97.

    MathSciNet  Google Scholar 

  • Aslam, M., Jun, C.-H., Rasool, M., & Ahmad, M. (2010b). A time truncated two-stage group sampling plan for Weibull distribution. Communication for Statistical Applications and Methods Korean Society, 17(1), 89–98.

    Article  Google Scholar 

  • Aslam, M., Knatam, R. R. L., & Ahmad, M. (2010c). Single point group sampling plans for Birnbaum-Saunders distribution. International Journal of Intelligent Technologies and Applied Statistics, 3(1), 83–91.

    Google Scholar 

  • Aslam, M., Kundu, D., & Ahmad, M. (2010d). Time truncated acceptance sampling plan for generalized exponential distribution. Journal of Applied Statistics, 37(4), 555–566.

    Article  MathSciNet  Google Scholar 

  • Aslam, M., Kundu, D., Jun, C.-H., & Ahmad, M. (2011b). Time truncated improved group acceptance sampling plans for generalized exponential distribution. Journal of Testing and Evaluation, 39(4), 671–677.

    Google Scholar 

  • Aslam, M., Mughal, A. R., & Ahmed, M. (2010e). Group acceptance sampling plan for lifetimes having generalized Pareto distribution. Pakistan Journal of Commerce and Social Sciences., 4(2), 185–193.

    Google Scholar 

  • Aslam, M., Mughal, A. R., Ahmed, M., & Yab, Z. (2010f). Group acceptance sampling plan for Pareto distribution of the second kind. Journal of Testing and Evaluation, 38(2), 1–8.

    Google Scholar 

  • Aslam, M., Pervaiz, M. K., & Jun, C. H. (2010g). An improved group sampling plan based on time-truncated life tests. Communications for Statistical Applications and Methods, 17(3), 319–326.

    Article  Google Scholar 

  • Aslam, M., & Shahbaz, M. Q. (2007). Economic reliability tests plans using the generalized exponential distribution. Journal of Statistics, 14, 52–59.

    Google Scholar 

  • Baklizi, A. (2003). Acceptance sampling based on truncated life tests in the Pareto distribution of the second kind. Advances and Applications in Statistics, 3(1), 33–48.

    Google Scholar 

  • Baklizi, A., & EI Masri, A. E. Q. (2004). Acceptance sampling based on truncated life tests in the Birnbaum-Saunder model. Risk Analysis, 24(6), 1453–1457.

    Article  Google Scholar 

  • Balakrishnan, N., & Malik, H. J. (1987). Best linear unbiased estimation of location and scale parameter of log-logistic distribution. Communications in Statistics—Theory and Methods, 16, 3477–3495.

    Article  MathSciNet  MATH  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, 643–656.

    Google Scholar 

  • Balamurali, S., & Jun, C.-H. (2006). Repetitive group sampling procedure for variables inspection. Journal of Applied Statistics, 33(3), 327–338.

    Article  MathSciNet  MATH  Google Scholar 

  • Dodge, H. F., & Romig, H. G. (1959). Sampling inspection tables: Single and double sampling. New York: Wiley.

    MATH  Google Scholar 

  • Duncan, A. J. (1986). Quality control and industrial statistics (5th ed.). Homewood, Illinois: Richard D. Irwin.

    MATH  Google Scholar 

  • Fertig, F. W., & Mann, N.R. (1980). Life-test sampling plans for two—parameter Weibull populations. Technometrics, 22(2), 165–177.

    Google Scholar 

  • Goode, H. P., & Kao, J. H. K. (1961). Sampling plans based on the Weibull distribution. In Proceedings of 7th National Symposium on Reliability and Quality Control (pp. 24–40), Philadelphia.

    Google Scholar 

  • Gupta, S. S. (1962). Life test sampling plans for normal and lognormal distributions. Technometrics, 4(2), 151–175.

    Article  MathSciNet  MATH  Google Scholar 

  • Gupta, S. S., & Groll, P. A. (1961). Gamma distribution in acceptance sampling based on life tests. Journal of the American Statistical Association, 56, 942–970.

    Article  MathSciNet  MATH  Google Scholar 

  • Jun, C.-H., Balamurali, S., & Lee, S.-H. (2006). Variables sampling plans for Weibull distributed lifetimes under sudden death testing. IEEE Transactions on Reliability, 55(1), 53–58.

    Article  Google Scholar 

  • Kantam, R. R. L., & Rosaiah, K. (1998). Half logistic distribution in acceptance sampling based on life tests. IAPQR Transactions, 23(2), 117–125.

    Google Scholar 

  • Kantam, R. R. L., Rosaiah, K., & Rao, G. S. (2001). Acceptance sampling based on life tests: Log-logistic models. Journal of Applied Statistics, 28(1), 121–128.

    Article  MathSciNet  MATH  Google Scholar 

  • Kantam, R. R. L., Srinivasa Rao, G., & Sriram, G. (2006). An economic reliability test plan: Log-logistic distribution. Journal of Applied Statistics, 33(3), 291–296.

    Article  MathSciNet  MATH  Google Scholar 

  • Pascual, F. G., & 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(5), 434–443.

    Article  Google Scholar 

  • Rosaiah, K., Kantam, R. R. L., & Santosh Kumar, Ch. (2006). Reliability of test plans for exponentiated log—logistic distribution, Economic Quality Control, 21(2), 165–175.

    Google Scholar 

  • Rosaiah, K., Kantam, R. R. L., & Santosh Kumar, Ch. (2007). Exponentiated log-logistic distribution-An economic reliability test plan. Pakistan Journal of Statistics, 23(2), 147–146.

    Google Scholar 

  • Rosaiah, K., & Kantam, R. R. L. (2008). Economic reliability test plan with inverse Rayleigh variate. Pakistan Journal of Statistics, 24(1), 57–65.

    MathSciNet  MATH  Google Scholar 

  • Sobel, M., & Tischendrof, J. A. (1959). Acceptance sampling with new life test objectives, Proceeding of fifth National Symposium on Reliability and Quality Control, Philadelphia, Pennsylvania, 108–118.

    Google Scholar 

  • Srinivasa Rao, G. (2009). A group acceptance sampling plan for lifetimes following a generalized exponential distribution. Economic Quality Control, 24(1), 75–85.

    MathSciNet  Google Scholar 

  • Stephens, K. S. (2001). The handbook of applied acceptance sampling: Plans, procedures and principles. Milwaukee: ASQ Quality Press.

    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.

    Article  MathSciNet  MATH  Google Scholar 

  • Wood, A. (1996). Predicting software reliability. IEEE Transactions on Software Engineering, 22, 69–77.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Muhammad Aslam .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Aslam, M., Ali, M.M. (2019). Acceptance Sampling from Truncated Life Tests. In: Testing and Inspection Using Acceptance Sampling Plans. Springer, Singapore. https://doi.org/10.1007/978-981-13-9306-8_3

Download citation

Publish with us

Policies and ethics