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. 2019 Aug 6;47(4):685-697.
doi: 10.1080/02664763.2019.1650254. eCollection 2020.

Acceptance sampling plans from truncated life test based on Tsallis q-exponential distribution

Amjad D Al-Nasser  1 , Mohammed Obeidat  1
Affiliations

Acceptance sampling plans from truncated life test based on Tsallis q-exponential distribution

Amjad D Al-Nasser et al. J Appl Stat. .

Abstract

In this study, we propose a new single acceptance sampling plan from truncated life test assuming that the quality characteristics follow the Tsallis q-exponential distribution. The proposed plan is given, and then we derived the operation characteristics function and calculate the optimal sample size and producer''s risk for some given parameter values to measure the performance of this plan. Also, a comparative study with other sampling plan is discussed to show the benefit of the proposed plan, and real data analysis is given to illustrate the applicability of the proposed plan in the industry.

Keywords: 62N05; 90B25; 94A17; Acceptance sampling plan; Tsallis q-exponential distribution; entropy; operating characteristic function.

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Conflict of interest statement

No potential conflict of interest was reported by the authors.

Figures

Figure 1.
Figure 1.
pdf of TQED for some given parameter values.
Figure 2.
Figure 2.
cdf of TQED for some given parameter values.
Figure 3.
Figure 3.
ASP algorithm (source: [2,3]).
Figure 4.
Figure 4.
Comparisons between the sample sizes obtained by different ASP.
See this image and copyright information in PMC

References

    1. Al-Masri A., Acceptance sampling plans based on truncated life tests in the inverse-gamma model, Electron. J. Appl. Stat. Anal. 11 (2018), pp. 397–404.
    1. Al-Nasser A.D., Al-Omari A., Bani-Mustafa A., and Jaber K., Developing single-acceptance sampling plans based on a truncated lifetime test for an Ishita distribution, Stat. Transition New Ser. 19 (2018), pp. 393–406. doi: 10.21307/stattrans-2018-022 - DOI
    1. Al-Nasser A.D., Al-Omari A., and Gogah F.S., A double acceptance sampling plan for quasi Lindely distribution, J. North Basic Appl. Sci. 3 (2018), pp. 120–130.
    1. Al-Nasser A.D. and Al-Omari A.I., Acceptance sampling plan based on truncated life tests for exponentiated Frechet distribution, J. Stat. Manag. Syst. 16 (2013), pp. 13–24. doi: 10.1080/09720510.2013.777571 - DOI
    1. Al-Nasser A.D. and Gogah F.S., On using the median ranked set sampling for developing reliability test plans under generalized exponential distribution, Pakistan J. Statist. Oper. Res. 13 (2017), pp. 757–774. doi: 10.18187/pjsor.v13i4.1721 - DOI

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