Skip to main content
SpringerLink
Log in

Some Group Acceptance Sampling Based on Life Tests from Some Specific Distributions

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

  • 485 Accesses

Abstract

Recently, group sampling plans based on truncated life tests have attracted the researchers, industries, practitioners and experimenters working in the areas of acceptance sampling and reliability analysis due to the several advantages over the ordinary acceptance sampling plans. In ordinary acceptance sampling plan schemes, single item is installed on a single tester that requires the number of testers to be equal to the sample size, manpower, cost and time to install the item in the testers. On the other hand, group sampling plans are used under the assumption that the experimenter has the facility to install more than one item in single tester called group. It provides the strict inspection of the product and protection to producer and consumer. In this chapter, we will discuss group sampling plans under various lifetime distributions including Birnbaum–Saunders distribution, Burr type XII distribution, gamma distribution, generalized Birnbaum–Saunders distribution, generalized exponential distribution, generalized Rayleigh distribution, inverse Gaussian distribution, inverse Rayleigh distribution, log-logistic distribution, lognormal distribution, Pareto distribution of the second kind and the Weibull distribution.

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

Access this chapter

Log in via an institution
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). Sport TV Channel Preference in Lahore, Pakistan, European Journal of Scientific Research, 24(2), 253–262.

    Google Scholar 

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

    Google Scholar 

  • Aslam, M., Fatima, M., Bani-Mustafa, A., & Al-Nasser, A. D. (2011a). Improved group acceptance sampling plans for the gamma distributed items. Statistica & Applicazioni, 9(2), 159–173.

    Google Scholar 

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

    Google Scholar 

  • Aslam, M., & 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), 107–120.

    Google Scholar 

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

    Google Scholar 

  • Aslam, M., Jun, C.-H., & Ahmad, M. (2011b). New acceptance sampling plans based on life tests for Birnbaum-Saunders distributions. Journal of Statistical Computation and Simulation, 81(4), 461–470.

    Google Scholar 

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

    Google Scholar 

  • Aslam, M., Jun, C.-H., Lio, Y., & Ahmad, M. (2011d). Group acceptance sampling plans for the generalized Rayleigh distribution. International Journal of Intelligent Technologies and Applied Statistics, 4(3), 355–365.

    Google Scholar 

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

    Google Scholar 

  • Aslam, M., Mughal, A. R., Ahmad, M., & Yab, Z. (2009b). Group acceptance sampling plans for Pareto distribution of the second kind. Journal of Testing and Evaluation, 38(2), 143–150.

    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.

    Google Scholar 

  • Balakrishnan, N., & Malik, H. (1987). Best linear unbiased estimation of location and scale parameters of the log-logistic distribution. Communications in Statistics-Theory and Methods, 16(12), 3477–3495.

    Google Scholar 

  • Gupta, S. S. (1960). Order Statistics from gamma distribution. Technometrics, 2, 243–262.

    Article  MathSciNet  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Lio, Y., Tsai, T.-R., & Wu, S.-J. (2010). Acceptance sampling plans from truncated life tests based on the Burr type XII percentiles. Journal of the Chinese institute of Industrial Engineers, 27(4), 270–280.

    Google Scholar 

  • Polovko, A. M. (1968). Fundamentals of reliability theory. New York: Academic Press.

    Google Scholar 

  • Rosaiah, K. and Kantam, R. R. L. (2005). Acceptance sampling based on the inverse Rayleigh distribution. Economic Quality Control, 20(2), 277–286.

    Google Scholar 

  • Rosaiah, K., Kantam, R. R. L. & Kumar, C. S. (2007). Exponentiated log-logistic distribution - An economic reliability test plan. Economic Quality Control, 23(2), 147–146.

    Google Scholar 

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

    Google Scholar 

  • Shah, B., & Dave, P. (1963). A note on log-logistic distribution. Journal of the MS University of Baroda (Science Number), 12, 15–20.

    Google Scholar 

  • Shoaib, M., & Aslam, M. (2011). Efficient group acceptance plans based on total numbers of failures for generalized exponential distributed products. Continental Journal of Applied Sciences (GASP_total), 6(3), 31–39.

    Google Scholar 

  • Shoiab, M., Aslam, M., & Lio, Y. (2011). Acceptance decision rule of multiple items for Birnbaum-Saunders distribution. World Applied Sciences Journal, 12(10), 1745–1753.

    Google Scholar 

  • Tadikamalla, P. R., & Johnson, N. L. (1982). Systems of frequency curves generated by transformations of logistic variables. Biometrika, 69(2), 461–465.

    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.

    Google Scholar 

  • Voda, V. G. (1972). On the inverse Rayleigh distributed random variable. Reports of Statistical Application Research, 19, 13–21.

    Google Scholar 

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

    Article  Google Scholar 

Download references

Acknowledgements

Reproduced, with permission from [Aslam, M., Kundu, D., Jun, C.-H., & Ahmad, M. (2011). Time truncated group acceptance sampling plans for generalized exponential distribution. Journal of Testing and Evaluation, 39(4), 671–677] and [Aslam, M., Mughal, A. R., Ahmad, M., & Yab, Z. (2009). Group acceptance sampling plans for Pareto distribution of the second kind. Journal of Testing and Evaluation, 38(2), 143–150], copyright ASTM International, 100 Barr Harbor Drive, West Conshohocken, PA 19428.

Author information

Authors and Affiliations

  1. Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    Muhammad Aslam

  2. Department of Mathematical Sciences, Ball State University, Muncie, IN, USA

    Mir Masoom Ali

Authors
  1. Muhammad Aslam
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mir Masoom Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

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). Some Group Acceptance Sampling Based on Life Tests from Some Specific Distributions. In: Testing and Inspection Using Acceptance Sampling Plans. Springer, Singapore. https://doi.org/10.1007/978-981-13-9306-8_5

Download citation

Publish with us

Policies and ethics

Search

Navigation