Advances and Applications in Statistics

The Advances and Applications in Statistics is an internationally recognized journal indexed in the Emerging Sources Citation Index (ESCI). It provides a platform for original research papers and survey articles in all areas of statistics, both computational and experimental in nature.

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GROUP ACCEPTANCE SAMPLING PLAN APPLICATION FOR VINYL CHLORIDE DATA USING GENERALIZED INVERTED KUMARASWAMY DISTRIBUTION

Authors

  • Rehab Alsultan
  • Hazar Khogeer

Keywords:

inverted Kumaraswamy distribution, acceptance sampling plans, consumer’s risk, group acceptance sampling plan, truncated life test, producer’s risk, operating characteristics.

DOI:

https://doi.org/10.17654/0972361722027

Abstract

The current paper discusses the group acceptance sampling plan based on truncated lifetimes when the lifetime of an item follows the generalized inverted Kumaraswamy distribution (GIKum). For a given group size, the minimum number of groups and the acceptance number required are determined for specified consumer’s risk and the test termination time. The values of the operating characteristic function for various quality levels are calculated and the minimum ratios of the true average life to the specified life at given producer’s risk are achieved. The techniques are illustrated by using real-world data.

Received: January 8, 2022
Accepted: February 22, 2022

References

A. Abd AL-Fattah, A. El-Helbawy and G. Al-Dayian, Inverted Kumaraswamy distribution: properties and estimation, Pakistan J. Statist. 33(1) (2017), 37-61.

A. D. Al-Nasser and A. I. Al-Omari, Acceptance sampling plan based on truncated life tests for exponentiated Fréchet distribution, Journal of Statistics and Management Systems 16(1) (2013), 13-24.

A. I. Al-Omari, Acceptance sampling plan based on truncated life tests for three parameter kappa distribution, Economic Quality Control 29(1) (2014), 53-62.

A. I. Al-Omari, Time truncated acceptance sampling plans for generalized inverted exponential distribution, Electron. J. Appl. Stat. Anal. 8(1) (2015), 1-12.

M. Aslam and C.-H. Jun, A group acceptance sampling plan for truncated life test having Weibull distribution, J. Appl. Stat. 36(9) (2009), 1021-1027.

N. Balakrishnan, V. Leiva and J. Lopez, Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution, Comm. Statist. Simulation Comput. 36(3) (2007), 643-656.

D. K. Bhaumik, K. Kapur and R. D. Gibbons, Testing parameters of a gamma distribution for small samples, Technometrics 51(3) (2009), 326-334.

P. Erto and M. Rapone, Non-informative and practical Bayesian confidence bounds for reliable life in the Weibull model, Reliability Engineering 7(3) (1984), 181-191.

H. P. Goode and J. H. Kao, Sampling plans based on the Weibull distribution, Technical Report, Cornell University, Ithaca, New York, 1960.

D. C. T. Granzotto and F. Louzada, The transmuted log-logistic distribution: modeling, inference, and an application to a polled Tabapua race time up to first calving data, Comm. Statist. Theory Methods 44(16) (2015), 3387-3402.

W. Gui and S. Zhang, Acceptance sampling plans based on truncated life tests for Gompertz distribution, Journal of Industrial Mathematics Volume 2014, Article ID 391728.

Z. Iqbal, M. M. Tahir, N. Riaz, S. A. Ali and M. Ahmad, Generalized inverted Kumaraswamy distribution: properties and application, Open Journal of Statistics 7 (2017), 645-662.

D. P. Murthy, M. Bulmer and J. A. Eccleston, Weibull model selection for reliability modeling, Reliability Engineering and System Safety 86(3) (2004), 257-267.

S. Singh and Y. M. Tripathi, Acceptance sampling plans for inverse Weibull distribution based on truncated life test, Life Cycle Reliability and Safety Engineering 6(3) (2017), 169-178.

M. A. ul Haq, Transmuted exponentiated inverse Rayleigh distribution, J. Stat. Appl. Prob. 5(2) (2016), 337-343.

Published

24-09-2025

Issue

Section

Articles

How to Cite

GROUP ACCEPTANCE SAMPLING PLAN APPLICATION FOR VINYL CHLORIDE DATA USING GENERALIZED INVERTED KUMARASWAMY DISTRIBUTION. (2025). Advances and Applications in Statistics , 75, 67-78. https://doi.org/10.17654/0972361722027

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