Research Article | OPEN ACCESS
An Economic Reliability Efficient Group Acceptance Sampling Plans for Family Pareto Distributions
1Abdur Razzaque Mughal and 2Muhammad Ismail
1Department of Statistics, Lahore Business School, University of Lahore, Pakistan
2Department of Statistics, COMSATS Institute of Information Technology, Lahore, Pakistan
Research Journal of Applied Sciences, Engineering and Technology 2013 24:4646-4652
Received: March 05, 2013 | Accepted: April 02, 2013 | Published: December 25, 2013
Abstract
The present research study deals with an economic reliability efficient group acceptance sampling plan for time truncated tests which are based on the total number of failures assuming that the life time of a product follows the family for Pareto distribution. This research is proposed when a multiple number of products as a group can be observed simultaneously in a tester. The minimum termination time required for a given group size and acceptance number is determined such that the producer and consumer risks are satisfied for specific standard of quality level, while the number of groups and the number of testers are pre-assumed. Comparison studies are made between the proposed plan and the existing plan on the basis of minimum termination time. Two real examples are also discussed.
Keywords:
Consumer risk, group sampling plan, pareto distribution, producer risk, truncated life test,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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