A Group Acceptance Sampling Plan for Weighted Binomial on Truncated Life Tests Using Exponential and Weibull Distributions

  • Priyah Anburajan Research Scholar, Department of Mathematics, Avinashilingam University, Coimbatore, Tamil Nadu, India
  • A. R. Sudamani Ramaswamy Associate Professor at Department of Mathematics, Avinashilingam University, Coimbatore - 641043, Tamil Nadu, India
Keywords: Exponential and Weibull distributions, Group acceptance sampling using weighted binomial, consumer's risk, Operating characteristics, Producer's risk, truncated life test.

Abstract

In this paper, a group acceptance sampling plan using weighted binomial is developed for a truncated life test when the lifetime of an item follows exponential and Weibull distributions. The minimum number of groups required for a given group size and the acceptance number is determined when the consumers risk and the test termination time are specified. The operating characteristic values according to various quality levels are obtained. The results are explained with examples.

Downloads

Download data is not yet available.

References

Epstein, B. (1954): Truncated life tests in the exponential case. Annals of Mathematical Statistics 25, 555-564.

Sobel, M. and Tischendrof, J. A. (1959): Acceptance sampling with new life test objectives. Proceedings of Fifth National Symposium on Reliability and Quality Control, Philadelphia, Pennsylvania, pp. 108-118.

Goode, H.P., and Kao, J.H.K. (1961): Sampling plans based on the Weibull distribution. Proceeding of the Seventh National Symposium on Reliability and Quality Control, pp. 24-40, Philadelphia.

Fertig, F.W. and Mann, N.R. (1980): Life-test sampling plans for two-parameter Weibull populations. Technometrics 22, 165-177.

Gupta, R.D. and Kundu, D. (1999): Generalized exponential distributions. Australian and New Zealand Journal of Statistics 41, 173-188.

Gupta, R.D. and Kundu, D. (2003): Discriminating between the Weibull and generalized exponential distributions. Computational Statistics and Data Analysis 43, 179-196.

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

Aslam, M., and Shahbaz, M.Q. (2007): Economic reliability test plans using the generalized exponential distributions. Journal of Statistics 14, 52-59.

Radhakrishnan R. and Alagirisamy K. (2011): Construction of group acceptance sampling plan using weighted binomial distribution. International Journal of Recent Scientific Research 2(7), 229-231.

Published
2015-03-01
How to Cite
Anburajan, P., & Ramaswamy, A. R. (2015). A Group Acceptance Sampling Plan for Weighted Binomial on Truncated Life Tests Using Exponential and Weibull Distributions. Journal of Progressive Research in Mathematics, 2(1), 80-89. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/34
Section
Articles