A TWO-STAGE GROUP SAMPLING PLAN BASED ON TRUNCATED LIFE TESTS FOR A EXPONENTIATED FRÉCHET DISTRIBUTION

Authors

  • G. Srinivasa Rao Department of Statistics, The University of Dodoma, Dodoma, Tanzania
  • K. Rosaiah Department of Statistics, Acharya Nagarjuna University, Guntur, India
  • M. Sridhar Babu Department of Statistics, Acharya Nagarjuna University, Guntur, India
  • D.C.U. Siva Kumar Research Fellow (UGC), Department of Statistics, Acharya Nagarjuna University, Guntur, India

DOI:

https://doi.org/10.19044/esj.2014.v10n33p%25p

Abstract

A two-stage group acceptance sampling plan is proposed for truncated life tests when the life time of an item follows exponentiated Fréchet distribution. The decision about the lot acceptance can be made in the first or second stage according to the number of failures from each group. In this paper, we determined number of groups required for each of two stages for the underlying lifetime distribution so as to minimize the average sample number under the constraints of satisfying the producer's and consumer's risks simultaneously. Single-stage group sampling plans are also considered as special cases of the proposed plan and compared with the proposed plan in terms of the average sample number and the operating characteristics.

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Published

2014-11-26

How to Cite

Rao, G. S., Rosaiah, K., Babu, M. S., & Kumar, D. S. (2014). A TWO-STAGE GROUP SAMPLING PLAN BASED ON TRUNCATED LIFE TESTS FOR A EXPONENTIATED FRÉCHET DISTRIBUTION. European Scientific Journal, ESJ, 10(33). https://doi.org/10.19044/esj.2014.v10n33p%p

Issue

Vol. 10 No. 33 (2014): ESJ November Edition

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.