Journal of Prime Research in Mathematics

# Two-sided and modified two-sided group chain sampling plan for Pareto distribution of the 2nd kind

Abdur Razzaque Mughal $$^a$$, Zakiyah Zainb $$^{b,*}$$, Nazrina Aziz $$^{b,}$$
$$^a$$ Department of Statistics, Government College University, Lahore, Pakistan.
$$^b$$ Department of Mathematics and Statistics, School of Quantitative Sciences, UUM College of Arts and Sciences, Universiti Utara Malaysia, UUM Sintok 06010, Kedah, Malaysia.
Correspondence should be addressed to: abdur_razzaque@live.com

### Abstract

In this article two-sided and modified two-sided group chain sampling plans for Pareto distribution of the 2nd kind is proposed. The minimum group size and mean ratios are obtained by satisfying the consumer’s risk at the pre-specified quality level. Several tables are presented for easy selection of comparative study of the proposed plan with established plans.

#### Keywords:

Two-sided chain sampling, truncated lifetime, group sampling, operating characteristic values, consumer’s risk.