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Double and Group Acceptance Sampling Inspection Plans Based on Truncated Life Test for the Quasi-Xgamma Distribution

  • Subhradev Sen , Mahendra Saha and Harsh Tripathi EMAIL logo
Published/Copyright: February 21, 2025
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Abstract

In this article, we developed group and double acceptance sampling inspection plans (GASIP) and (DASIP). In GASIP, multiple number of items, made as a group, can be tested simultaneously in an inspection procedure. We study both the GASIP and DASIP under the truncated life test assuming that the lifetime of an item is distributed as quasi-xgamma distribution (Sen and Chandra 2017). The plan parameters of both proposed plans are to be determined by satisfying the consumer’s risk at the specified ratio of true average life to the specified life and termination time. The results for different parameters are tabulated and explained in well manner for better understanding. Two suitable real data sets are considered for application purposes.

MSC 2020: 62F03; 62F10; 62E15

References

[1] R. Alsultan, Group acceptance sampling plan based on truncated life tests using extended odd Weibull exponential distribution with application to the mortality rate of COVID-19 patients, AIP Adv. 14 (2024), 10.1063/5.0187498. 10.1063/5.0187498Search in Google Scholar

[2] A. I. Al-Omari and M. T. Ismail, Group acceptance sampling plans based on truncated life tests for gamma Lindley distribution with real data application, Lobachevskii J. Math. 45 (2024), no. 2, 578–590. 10.1134/S1995080224600225Search in Google Scholar

[3] A. I. Al-Omari and E. Zamanzade, Double acceptance sampling plan for time truncated life tests based on transmuted generalized inverse Weibull distribution, J. Stat. Appl. Probab. 6 (2017), 1–6. 10.18576/jsap/060101Search in Google Scholar

[4] D. F. N. Ekemezie, F. M. Alghamdi, H. M. Aljohani, F. H. Riad, M. M. Abd El-Raouf and O. J. Obulezi, A more flexible Lomax distribution: Characterization, estimation, group acceptance sampling plan and applications, Alexandria Eng. J. 109 (2024), 520–531. 10.1016/j.aej.2024.09.005Search in Google Scholar

[5] A. Fayomi and K. Khan, A group acceptance sampling plan for “another generalized transmuted-exponential distribution” based on truncated lifetimes, Qual. Reliab. Eng. Int. 40 (2024), 145–153. 10.1002/qre.3246Search in Google Scholar

[6] W. Gui and X. Lu, Double acceptance sampling plan based on the Burr type X distribution under truncated life tests, Int. J. Indust. Syst. Eng. 28 (2018), no. 3, 319–330. 10.1504/IJISE.2018.089742Search in Google Scholar

[7] M. Hu and W. Gui, Acceptance sampling plans based on truncated life tests for Burr type X distribution, J. Stat. Manag. Syst. 21 (2018), no. 3, 323–336. 10.1080/09720510.2017.1413044Search in Google Scholar

[8] K. Jose and A. Paul, Marshall Olkin exponential power distribution and its generalization: Theory and applications, IAPQR Trans 43 (2018), 1–29. 10.32381/IAPQRT.2018.43.01.1Search in Google Scholar

[9] M. Mahdy and B. Ahmed, New distributions in designing of double acceptance sampling plan with application, Pak. J. Stat. Oper. Res. 14 (2018), no. 2, 333–346. 10.18187/pjsor.v13i3.2060Search in Google Scholar

[10] J. Mazucheli, W. Bertoli, R. P. Oliveira and A. F. B. Menezes, On the discrete quasi xgamma distribution, Methodol. Comput. Appl. Probab. 22 (2020), no. 2, 747–775. 10.1007/s11009-019-09731-7Search in Google Scholar

[11] M. Saha, H. Tripathi and S. Dey, Single and double acceptance sampling plans for truncated life tests based on transmuted Rayleigh distribution, J. Indust. Production Eng. 38 (2021), no. 5, 356–368. 10.1080/21681015.2021.1893843Search in Google Scholar

[12] M. Saha, H. Tripathi, S. Dey and S. S. Maiti, Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics, Int. J. Syst. Assurance Eng. Manag. 12 (2021), 1410–1419. 10.1007/s13198-021-01349-8Search in Google Scholar

[13] S. Sen, A. Z. Afify, H. Al-Mofleh and M. Ahsanullah, The quasi Xgamma-geometric distribution with application in medicine, Filomat 33 (2019), no. 16, 5291–5330. 10.2298/FIL1916291SSearch in Google Scholar

[14] S. Sen, M. Alizadeh, M. Aboraya, M. M. Ali, H. M. Yousof and M. Ibrahim, On truncated versions of the xgamma distribution: Various estimation methods and statistical modeling, Stat. Optim. Inf. Comput. 12 (2024), no. 4, 943–961. 10.19139/soic-2310-5070-1660Search in Google Scholar

[15] S. Sen and N. Chandra, The quasi xgamma distribution with application in bladder cancer data, J. Data Sci. 15 (2017), 61–76. 10.6339/JDS.201701_15(1).0004Search in Google Scholar

[16] S. Sen, S. S. Maiti and N. Chandra, The xgamma distribution: Statistical properties and application, J. Modern Appl. Stat. Methods 15 (2016), 10.56801/10.56801/v15.i.824. 10.56801/10.56801/v15.i.824Search in Google Scholar

[17] H. Tripathi, S. Dey and M. Saha, Double and group acceptance sampling plan for truncated life test based on inverse log-logistic distribution, J. Appl. Stat. 48 (2021), no. 7, 1227–1242. 10.1080/02664763.2020.1759031Search in Google Scholar PubMed PubMed Central

[18] H. Tripathi, A. Kiapour and M. N. Qomi, Optimal time truncated double acceptance sampling plan for generalized half normal distribution, Life Cycle Reliab. Safety Eng. 13 (2024), no. 2, 173–180. 10.1007/s41872-024-00256-8Search in Google Scholar

[19] H. Tripathi and M. Saha, Modified chain group sampling inspection plan under item failure scenario based on time truncated scheme, Int. J. Syst. Assurance Eng. Manag. 15 (2024), no. 3, 1305–1314. 10.1007/s13198-023-02221-7Search in Google Scholar

[20] H. Tripathi, M. Saha and S. Dey, A new approach of time truncated chain sampling inspection plan and its applications, Int. J. Syst. Assurance Eng. Manag. 13 (2022), no. 5, 2307–2326. 10.1007/s13198-022-01645-xSearch in Google Scholar

Received: 2024-08-27
Revised: 2025-02-12
Accepted: 2025-02-12
Published Online: 2025-02-21
Published in Print: 2025-05-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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