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On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan

  • Amer I. Al-Omari EMAIL logo , Amjad D. Al-Nasser , Fatima Gogah and Muhammad A. Haq
Published/Copyright: June 21, 2017
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Abstract

A double acceptance sampling plan (DASP) based on truncated life tests is suggested in this paper when the lifetime of a product follows the exponentiated generalized inverse Rayleigh distribution (EGIR). For a fixed value of the consumer’s confidence level, the minimum sample sizes of the first and second samples needed to ensure the specified mean life are obtained. The operating characteristic values according to the different quality levels are obtained and the minimum ratios of the mean life to the specified life are calculated. The important tables based on the suggested DASP are calculated and illustrated.

MSC 2010: 62D05

References

[1] A. D. Al-Nasser and A. I. Al-Omari, Acceptance sampling plan based on truncated life tests for exponentiated Frechet distribution, J. Stat. Manag. Sys. 16 (2013), no. 1, 13–24. 10.1080/09720510.2013.777571Search in Google Scholar

[2] A. I. Al-Omari, Acceptance sampling plans based on truncated lifetime tests for transmuted inverse Rayleigh distribution, Econ. Qual. Control 31 (2016), no. 2, 85–91. 10.1515/eqc-2016-0011Search 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. Prob. 6 (2017), no. 1, 1–6. 10.18576/jsap/060101Search in Google Scholar

[4] M. Aslam and C.-H. Jun, A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh and log-logistic distributions, Pakistan J. Statist. 25 (2009), no. 2, 107–119. Search in Google Scholar

[5] A. Baklizi, A. El Masri and A. Al-Nasser, Acceptance sampling plans in the Rayleigh model, Korean Comm. Stat. 12 (2005), no. 1, 11–18. 10.5351/CKSS.2005.12.1.011Search in Google Scholar

[6] N. Balakrishnan, V. c. Leiva and J. López, Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution, Comm. Statist. Simulation Comput. 36 (2007), no. 1-3, 643–656. 10.1080/03610910701207819Search in Google Scholar

[7] G. M. Cordeiro, E. M. M. Ortega and D. C. C. da Cunha, The exponentiated generalized class of distributions, J. Data Sci. 11 (2013), no. 1, 1–27. 10.6339/JDS.2013.11(1).1086Search in Google Scholar

[8] A. J. Duncan, Quality Control and Industrial Statistics, 5th ed., Richard D. Irwin, Homewood, 1986. Search in Google Scholar

[9] W. Gui, Double acceptance sampling plan for time truncated life tests based on Maxwell distribution, Amer. J. Math. Manag. Sci. 33 (2014), 98–109. 10.1080/01966324.2014.894895Search in Google Scholar

[10] S. S. Gupta, Life test sampling plans for normal and lognormal distribution, Technometrics 4 (1962), 151–175. 10.1080/00401706.1962.10490002Search in Google Scholar

[11] S. S. Gupta and P. A. Groll, Gamma distribution in acceptance sampling based on life tests, J. Amer. Statist. Assoc. 56 (1961), 942–970. 10.1080/01621459.1961.10482137Search in Google Scholar

[12] R. R. L. Kantam, K. Rosaiah and G. Srinivasa Rao, Acceptance sampling based on life tests: log-logistic model, J. Appl. Stat. 28 (2001), no. 1, 121–128. 10.1080/02664760120011644Search in Google Scholar

[13] W. Lu, Acceptance sampling plans based on truncated life tests for Maxwell distribution, Pakistan J. Statist. 27 (2011), no. 2, 159–170. Search in Google Scholar

[14] A. S. Ramaswamy and P. Anburajan, Double acceptance sampling based on truncated life tests in generalized exponential distribution, Appl. Math. Sci. 6 (2012), 3199–3207. Search in Google Scholar

[15] K. Rosaiah and R. R. L. Kantam, Acceptance sampling based on the inverse Rayleigh distribution, Econ. Qual. Control 20 (2005), no. 2, 277–286. 10.1515/EQC.2005.277Search in Google Scholar

[16] K. Rosaiah, R. R. L. Kantam and J. P. Reddy, Economic reliability test plan with inverse Rayleigh variate, Pakistan J. Statist. 24 (2008), no. 1, 57–65. Search in Google Scholar

[17] G. V. Sriramachandran and M. Palanivel, Acceptance sampling plan from truncated life tests based on exponentiated inverse Rayleigh distribution, Amer. J. Math. Manag. Sci. 33 (2014), no. 1, 20–35. 10.1080/01966324.2013.877362Search in Google Scholar

Received: 2017-1-30
Revised: 2017-6-9
Accepted: 2017-6-11
Published Online: 2017-6-21
Published in Print: 2017-6-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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