Title: A two-stage group sampling plan based on truncated life tests for a M-O extended exponential distribution

Authors: Gadde Srinivasa Rao

Addresses: Department of Statistics, Dilla University, Dilla, P.O. Box 419, Ethiopia

Abstract: In this paper, we considered a two-stage group acceptance sampling plan based on a truncated life tests for a lifetime follows Marshall-Olkin (M-O) extended exponential distribution. The decision on acceptance of lot can be made in the first or second stage according to the number of failures from each group. The design parameters of the proposed plan such as number of groups required and the acceptance number for each of two stages are determined so as to satisfy the consumer's risk at the specified unreliability when group size and test duration are specified. 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. The results are explained with examples.

Keywords: Marshall-Olkin extended exponential distribution; average sample number; ASN; consumer risk; producer risk; truncated life tests; operating characteristic; unreliability; group sampling plans.

DOI: 10.1504/IJQET.2013.055876

International Journal of Quality Engineering and Technology, 2013 Vol.3 No.4, pp.319 - 331

Received: 28 Dec 2012
Accepted: 01 Mar 2013

Published online: 19 Jul 2014 *

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