Open AccessDesign of SkSP-R Plan for Popular Statistical Distributions
Author(s) -
Jaffer Hussain,
S. Balamurali,
Muhammad Aslam
Publication year - 2022
Publication title -
journal of modern applied statistical methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.169
H-Index - 28
ISSN - 1538-9472
DOI - 10.22237/jmasm/1608552240
Subject(s) - weibull distribution , mathematics , plan (archaeology) , statistics , sampling (signal processing) , sample (material) , sample size determination , test plan , shape parameter , computer science , history , chemistry , archaeology , filter (signal processing) , chromatography , computer vision
The design of a Skip-lot sampling plan of type SkSP-R is presented for time truncated life test for the Weibull, Exponentiated Weibull, and Birnbaum-Saunders lifetime distributions. The plan parameters of the SkSP-R plan under these three distributions are determined through a nonlinear optimization problem. Tables are also constructed for each distribution. The advantages of the proposed plan over the existing sampling schemes are discussed. Application of the proposed plan is explained with the help of an example. The Birnbaum-Saunders distribution is economically superior to other two distributions in terms of minimum average sample number.