Sampling Scheme of Group Acceptance for Life Testing with the Half Logistic Distribution

Articles in Press

Document Type : Original Article

Authors
Srinivasa Rao B 1
Karthik Narayana Boyapati 2
Siva Ram Prasad J 3
1 California State University, East Bay, 25800, Carlos Bee Boulevard, Hayward, CA 94542, USA.
2 Department of Mathematics, V R Siddhartha Engineering College, Vijayawada, Andhra Pradesh, India.
3 Department of Mathematics & Humanities, R.V.R & J.C College of Engineering, Chowdavaram, Guntur-522019, Andhra Pradesh, India.
10.22034/jirss.2026.2082914.1176
Abstract
Reliability studies play a crucial role in quality control analysis. Based on these studies, an investigator can reduce both cost and time by efficiently deciding whether to reject or accept the provided lot. Sampling scheme of acceptance deals with the inspection of product lots and the action taken to reject or accept them, and it is one of the earliest schemesapplied in quality control. In present article, a sampling scheme of group acceptance is proposed with truncated life testing under the assumption that item lifetimes follow half logistic distribution. To a specified size of group, the least required count of groups and the corresponding acceptance count are calculated for given buyer’s risk and test completion time. Operating characteristic numbers are computed for different quality levels, and the least ratios of true mean life to stated life corresponding to a given vendor’s risk are calculated. The findings are demonstrated through illustrative examples.
Keywords
half logistic distribution
consumer' s risk
truncated life test
operating characteristic function
manufacturer' s risk
Subjects
Abdullah MA, Khushnoor K, Christophe C, Farrukh J. Group acceptance sampling using Marshall-Olkin Kumaraswamy Exponential distribution. Processes. 2021;9.
Aisha F, Khusnoor K. A group acceptance sampling for another generalized transmuted exponential distribution based on truncated lifetimes. Quality and Reliability Engineering. 2022;40(4).
Al-Omari AI, Ismail MT. Group acceptance sampling plans based on truncated life tests for Gamma-Lindley distribution with real data application. Lobachevskii Journal of
Mathematics. 2024;45(2):578–590.
Ali A. Group acceptance sampling based on new compounded three-parameterWeibull model. Axioms. 2022;11(9).
Aslam M, Debasis K, Jun CH, Ahmad M. Time truncated group acceptance sampling plans for generalized exponential distribution. Journal of Testing and Evaluation. 2011;39(9):968–976.
Balakrishnan N. Order statistics from the half logistic distribution. Journal of Statistical Computation and Simulation. 1985;20(4):287–309.
Balakrishnan N, Chan PS. Estimation for the scaled half logistic distribution under type-II censoring. IEEE Transactions on Reliability. 1992;13:123–144.
Balakrishnan N, Leiva V, Lopez J. Acceptance sampling plans from truncated life tests based on generalized Birnbaum-Saunders distribution. Communications in Statistics-Simulation and Computation. 2007;36:643–656.
Balakrishnan N, Puthenpura S. Best linear unbiased estimation of location and scale parameters of the half logistic distribution. Journal of Statistical Computation and Simulation. 1986;20:193–204.
Balakrishnan N, Wong KHT. Approximate MLEs for the location and scale parameters of the half logistic distribution with Type II right censoring. IEEE Transactions on Reliability. 1991;40:140–145.
Lio YL, Tsai TR, Wu SJ. Acceptance sampling plans from truncated life tests based on Birnbaum-Saunders distribution for percentiles. Communications in StatisticsSimulation and Computation. 2010;39:119–136.
Naghizedah MQ, Al-Husseini Z, Aslam M. Improved group sampling plans under odd-Perks-Lomax model with limited risks. Electronic Journal of Applied Statistical Analysis. 2025;18(2):344–358.
Naghizedah MQ, Aslam M. Developing optimal group acceptance sampling plans based on Weibull distribution with limited risks. Journal of Applied Statistics. 2025;240(2):1237–1252.
Naghizedah MQ, Fernandez AJ, Gonzalez CJ. Optimal truncated repetitive sampling inspection plans under time-censoring based on type-I half-logistic Nadaraja-hHaghighi distribution. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability. 2026;240(2):527–539.
Ramaswamy ARS, Anburajan P. Group acceptance sampling plans using weighted binomial on truncated life tests for inverse Rayleigh and log-logistic distributions. IOSR Journal of Mathematics. 2012;2(3):33–38.
Srinivasa Rao B, Lakshmi KNVR. Group acceptance sampling plans for life tests based on new Weibull-Pareto distribution. International Journal of Statistics and Economics. 2021;22(1):76–86.
Srinivasa Rao G. A group acceptance sampling plans for truncated life tests for Marshall-Olkin extended Lomax distribution. Electronic Journal of Applied Statistical Analysis. 2009;3(1):18–28.
Srinivasa Rao G. A hybrid group acceptance sampling plans for lifetimes based on loglogistic distribution. Journal of Reliability and Statistical Studies. 2011;4(1):31–40.
Srinivasa Rao G, Ghitany ME, Kantam RRL. Reliability test plans for Marshall-Olkin extended exponential distribution. International Journal of System Assurance Engineering and Management. 2009;3(55):2745–2755.
Srinivasa Rao G, Jilani SD, Rao AV. Designing of multiple dependent state repetitive sampling plan for type-II generalized half logistic distribution. International Journal of System Assurance Engineering and Management. 2021;12:1397–1409.
Srinivasa Rao G, Kantam RRL. Acceptance sampling plans from truncated life tests based on log-logistic distribution for percentiles. Economic Quality Control. 2010;25(2):153–167.
Tripathi H, Aslam M. Group acceptance sampling plan based on time truncation situation for transmuted Weibull distribution. Electronic Journal of Applied Statistical Analysis. 2024;17(3):636–652.Sampling Scheme of Group Acceptance for Life Testing with HLD 101
Tripathi H, Saha M, Alha V. An application of time truncated single acceptance sampling inspection plan based on generalized half-normal distribution. Annals of Data Science. 2022;9:1243–1255.
Journal of the Iranian Statistical Society

Articles in Press, Accepted Manuscript
Available Online from 27 July 2026

  • Receive Date 05 January 2026
  • Revise Date 13 June 2026
  • Accept Date 08 July 2026