Open AccessSingle acceptance sampling plans based on truncated lifetime tests for two-parameter Xgamma distribution with real data application
Author(s) -
Ghadah Alomani,
Amer Ibrahim Al-Omari
Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022624
Subject(s) - acceptance sampling , sampling (signal processing) , acceptance testing , statistics , computer science , sample (material) , sampling distribution , function (biology) , sample size determination , process (computing) , mathematics , mathematical optimization , data mining , chemistry , software engineering , filter (signal processing) , chromatography , evolutionary biology , computer vision , biology , operating system
Recently, the two-parameter Xgamma distribution (TPXGD) is suggested as a new lifetime distribution for modeling some real data. The TPXGD is investigated in different areas and generalized to other forms by many of the researchers. The acceptance sampling plans are one of the main important statistical tools in production and engineering fields. In this paper, modified acceptance sampling plans for the TPXGD are proposed with the assumption that the lifetime is truncated at a predetermined level. The mean of the TPXGD model is utilized as a quality parameter. The variables of the acceptance sampling plans including the acceptance numbers, the minimum sample sizes, operating characteristic function and the producer's risk are investigated for various values of the model parameters. Numerical examples are offered to illustrate the process of the proposed plans. Also, a real data is fitted to the TPXGD and an application based on the suggested acceptance sampling plans is considered for explanation.