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Comparison of GASP for Pareto distribution of the 2nd kind using Poisson and weighted Poisson distributions

Muhammad Aslam (Department of Statistics, Forman Christian College, University of Lahore, Lahore, Pakistan)
Abdur Razzaque Mughal (Department of Statistics, Pak Shama College, Doha, Qatar)
Munir Ahmad (Department of Statistics, National College of Business Administration and Economics, Lahore, Pakistan)

International Journal of Quality & Reliability Management

ISSN: 0265-671X

Article publication date: 6 September 2011

Abstract

Purpose

The purpose of this paper is to propose the group acceptance sampling plans for when the lifetime of the submitted product follows the Pareto distribution.

Design/methodology/approach

The single‐point approach (only consumer's risk) is used to find the plan parameter of the proposed plan for specified values of consumer's risk, producer's risk, acceptance number, number of testers and experiment time.

Findings

Tables are constructed using the Poisson and the weighted Poisson distribution. Extensive tables are provided for practical use.

Research limitations/implications

The tables in this paper can be used only when the lifetime of a product follows the Pareto distribution of 2nd kind.

Practical implications

The result can be used to test the product to save cost and time of the experiment. The use of the weighted Poisson distribution provides the less group size (sample size) as than the plans in the literature.

Social implications

By implementing the proposed plan, the experiment cost can be minimized.

Originality/value

The novelty of this paper is that Poisson and the weighted Poisson distributions are used to find the plan parameter of the proposed plan instead of the binomial distribution when the lifetime of submitted product follows the Pareto distribution of 2nd kind.

Keywords

Citation

Aslam, M., Razzaque Mughal, A. and Ahmad, M. (2011), "Comparison of GASP for Pareto distribution of the 2nd kind using Poisson and weighted Poisson distributions", International Journal of Quality & Reliability Management, Vol. 28 No. 8, pp. 867-884. https://doi.org/10.1108/02656711111162523

Publisher

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Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited