An Improved Group Acceptance Sampling Plan for Weighted Binomial on Time Truncated Testing Strategy Using Multiple Testers: Exponential Distributed Lifetime

  • Itrat Batool Naqvi Assistant Professor, Department of Statistics, FC College University, Lahore, Pakistan
  • Shakila Bashir Assistant Professor, Department of Statistics, FC College University, Lahore, Pakistan
Keywords: Improved group acceptance sampling plan, Weighted Binomial, Exponential distribution, Producer and consumer's risks.

Abstract

In this paper an improved group acceptance sampling plan using weighted binomial is developed when the lifetime of the test item follows exponential distribution. The optimal numbers of group are obtained for pre-specified parameters, acceptance number, quality levels, and number of tester per group at different level of consumer risk. The results are discussed with the help of example and figure. The proposed plan is compare with Anburajan and Ramaswamy (2015) and observed more efficient than the existing plan for Exponential Distribution.

Downloads

Download data is not yet available.

References

Amburajan, P, Ramaswamy, S. (2015). A Group acceptance sampling plan for weighted binomial on truncated tests using exponential and weibull distributions. Journal of Progressive Research in Mathematics,2(1),80-88.

Aslam, M, & Shahbaz, MQ (2007). Economic reliability tests plans using the generalized exponential distribution. J.Statist.,14,52-59

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

Aslam, M, Jun, C.-H, Lee, H, Ahmad, M. (2009). Group Acceptance Sampling Plan based on truncated life test for gamma distributed items. Pakistan Journal of Statistics,25(3) ,333-340.

Kantam, RRL, Srinivasa Rao, G,Sriram,,G. (2006). An economic reliability test plan: log-logistic distribution. J.App.Statist., 33(3), 291-296.

Epstein, B. (1954). Truncated life tests in the exponential case. Ann. Math. Statist., 25,555-564.

Gupta, RD, &Kundu, D (2003). Generalized exponential distributions.Australian and New Zealand Journal of Statistics, 41(2),173-188.

Mir, KA, & Ahmed, M (2009). Size-Biased distributions and their applications.Pakistan Journal of Statistic, 25(3),283-294.

Radhakrishnan, R, & Alagirisamy, K (2011). Construction of Group Acceptance Sampling Plan using Weighted binomial Distribution. International Journal of Recent Scientific Research, 2(7),229-231.

Ramaswamy S, &Amburajan, P (2012). Group acceptance sampling plan using weighted binomial on truncated life tests for Inverse Rayleigh and log-logistic distributions..Journal of Mathematics, 2(3), 33-38.

Published
2016-07-27
How to Cite
Naqvi, I., & Bashir, S. (2016). An Improved Group Acceptance Sampling Plan for Weighted Binomial on Time Truncated Testing Strategy Using Multiple Testers: Exponential Distributed Lifetime. Journal of Progressive Research in Mathematics, 8(2), 1283-1289. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/834
Section
Articles