Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing

Amjad D. Al-Nasser; Muhammad Ahsan ul Haq

doi:10.21307/stattrans-2021-024

Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing

Amjad D. Al-Nasser Department of Statistics, Science Faculty, Yarmouk University, Irbid, Jordan & Vice President for Academic Affairs, Al Falah University, Dubai, United Arab Emirates ORCID:http://orcid.org/0000-0001-7515-2357 , Muhammad Ahsan ul Haq Quality Enhancement Cell, National College of Arts, Lahore-Pakistan. College of Statistical & Actuarial Sciences, University of the Punjab, Lahore, Pakistan ORCID:http://orcid.org/ 0000-0002-0902-8080 Statistics in Transition new series, vol. 22, 2021, 3, pages: 1–13 Published online: 6 September 2021 DOI 10.21307/stattrans-2021-024

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ABSTRACT

In this research, a new acceptance sampling plan for a truncated life test is presented, assuming that the quality characteristic follows the power Lomax distribution. The operating characteristic function values are calculated for the proposed sampling plan, jointly with the optimal sample size and the producer’s risk for a selection of distribution parameters. Furthermore, a comparative study with other sampling plans is introduced to demonstrate the advantages of the proposed plan. Finally, a real-life example illustrating the applicability of the proposed sampling plan in a manufacturing company is discussed.

KEYWORDS

acceptance sampling plan, operating characteristic, power Lomax distribution, industry, data analysis

REFERENCES

Al-Masri A., (2018). Acceptance sampling plans based on truncated life tests in the inverse-gamma model, Electronic Journal of Applied Statistical Analysis, 11(1), pp. 397–404.

Al-Nasser, A. D., Obeidat, M., (2020). Acceptance Sampling Plans from Truncated Life Test Based on Tsallis q-Exponential Distribution. Journal of Applied Statistics, 47, 4, pp. 685–697.

Al-Nasser A. D., Al-Omari A, Bani-Mustafa A, Jaber K., (2018). Developing Single- Acceptance Sampling Plans Based on a Truncated Lifetime Test for an Ishita Distribution. Statistics in Transition New Series, 19 (3), pp. 393–406.

Al-Nasser, A. D., Al-Omari, A., (2013). Acceptance Sampling Plan Based on Truncated Life Tests for Exponentiated Frechet Distribution. Journal of Statistics and Management Systems, 16(1), pp. 13–24.

Al-Nasser, A. D., Gogah, F., (2017). On Using the Median Ranked Set Sampling for Developing Reliability Test Plans under Generalized Exponential Distribution. Pakistan Journal of Statistics and Operation Research, 13(4), pp. 757–774.

Al-Omari A, Ciavolino E, Al-Nasser AD., (2019). Economic Design of Acceptance Sampling Plans for Truncated Life Tests using Three-Parameter Lindley Distribution. Journal of Modern Applied Statistical Methods, 18(2), eP2746.

Al-Omari A., Al-Nasser A. D., Ciavolino E., (2018). Acceptance Sampling Plans Based on Truncated Life Tests for Rama Distribution. International Journal of Quality & Reliability Management, 36(7), pp. 1181–1191.

Al-Omari, A., (2018). Acceptance Sampling Plans Based on Truncated Life Tests for Sushila Distribution. Journal of Mathematical and Fundamental Sciences, 50(1), pp. 72–83.

Al-Omari, A., Al-Nasser, A. D., Gogah, F., (2016). Double Acceptance Sampling Plan for Time Truncated Life Tests Based on Transmuted New Weibull-Pareto Distribution. Electronic Journal of Applied Statistical Analysis, 9(3), pp. 520–529.

Al-Omari, A., Al-Nasser, A. D., Gogah, F., Haq, M. A., (2017). On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan. Stochastics and Quality Control, 32(1), pp. 37–47.

Baklizi, A., (2003). Acceptance Sampling Based on Truncated Life Tests in The Pareto Distribution of the Second Kind. Advances and Applications in Statistics, 3, pp. 33–48.

Baklizi, A., El Masri, A. and Al-Nasser, A. D., (2005). Acceptance Sampling Plans in the Rayleigh Model. The Korean Communications in Statistics, 12(1), pp. 11–18.

Balakrishnan N, Leiva V., López J., (2007). Acceptance Sampling Plans from Truncated Life Tests Based on the Generalized Birnbaum–Saunders Distribution. Communications in Statistics - Simulation and Computation, 36(3), pp. 643–656.

Gui, W., Aslam, M., (2017). Acceptance Sampling Plans Based on Truncated Life Tests for the Weighted Exponential Distribution. Communications in Statistics- Simulation and Computation, 46(3), pp. 2138–2151.

Gupta, S. S. and Groll, P. A., (1961). Gamma Distribution in Acceptance Sampling Based on Life Tests. Journal of American Statistical Association, 56, pp. 942–970.

Kantam, R. R. L., Rosaiah, K. and Rao, G. S., (2001). Acceptance Sampling Based on Life Tests Log-Logistic Model. Journal of Applied Statistics, 28, pp. 121–128.

Lio, L. Y., Tsai, T. and Wu, S., (2010). Acceptance Sampling Plans From Truncated Life Tests Based on the Birnbaum–Saunders Distribution for Percentiles. Communications in Statistics-Simulation and Computation, 39, pp. 119–136.

Malathi, D., Muthulakshmi, S., (2017). Economic Design of Acceptance Sampling Plans for Truncated Life Test Using Frechet Distribution. Journal of Applied Statistics, 44(2), pp. 376–384.

Rady, E.-H. A., Hassanein, W. A., Elhaddad, T. A., (2016). The Power Lomax Distribution with an Application to Bladder Cancer Data. Springer Plus, 5(1), p. 1838.

Rao, S. G. A, Ghitany M.E., Kantam R. R. L., (2008). Acceptance Sampling Plans for Marshall-Olkin Extended Lomax Distribution. International Journal of Applied Mathematics. 21(2), pp. 315–325.

Rao, S. G. A., (2010). Group Acceptance Sampling Plans Based on Truncated Life Tests for Marshall-Olkin Extended Lomax Distribution. Electronic Journal of Applied Statistical Analysis, 3(1), pp. 18–27.

Sampath S, Lalitha S. M., (2016). Time Truncated Sampling Plan under Hybrid Exponential Distribution. Journal of Uncertain Systems. 10(3), pp. 181–197.

Zimmer, W. J., Keats, J. B., Wang, F. K., (1998). The Burr XII Distribution in Reliability Analysis. Journal of Quality Technology, 30, pp. 386–394.