Acceptance Sampling Plans Based on Truncated Life Tests for Sushila Distribution

Authors

  • Amer Ibrahim Al-Omari Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 25113

DOI:

https://doi.org/10.5614/j.math.fund.sci.2018.50.1.6

Keywords:

Acceptance sampling, consumer??s risk, operating characteristic function, producer??s risk, Sushila distribution, truncated life test

Abstract

An acceptance sampling plan problem based on truncated life tests when the lifetime following a Sushila distribution is considered in this paper. For various acceptance numbers, confidence levels and values of the ratio between fixed experiment time and particular mean lifetime, the minimum sample sizes required to ascertain a specified mean life were found. The operating characteristic function values of the suggested sampling plans and the producer's risk are presented. Some tables are provided and the results are illustrated by an example of a real data set.

References

Sobel, M. & Tischendrof, J.A., Acceptance Sampling with New Life Test Objectives, Proceedings of Fifth National Symposium Reliability and Quality Control, Philadelphia, Pennsylvania, pp. 108-118, 1959.

Gui, W. & Zhang, S., Acceptance Sampling Plans Based on Truncated Life Tests for Gompertz Distribution, Journal of Industrial Mathematics, 2014, pp. 1-7, 2014.

Al-Omari, A.I., Acceptance Sampling Plan Based on Truncated Life Tests for Three-Parameter Kappa Distribution, Economic Quality Control, 29(1), pp. 53-62, 2014.

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

Kantam, R.R.L., Rosaiah, K. & Rao, G.S., Acceptance Sampling Based on Life Tests: Log-Logistic Model, Journal of Applied Statistics, 28(1), pp. 121-128, 2001.

Al-Omari, A.I., Time Truncated Acceptance Sampling Plans for Generalized Inverted Exponential Distribution, Electronic Journal of Applied Statistical Analysis, 8(1), pp. 1-12, 2015.

Al-Omari, A.I., Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution. Economic Quality Control, 31(2), pp. 85-91, 2016a.

Aslam, M. & Shabaz, M.Q., Economic Reliability Test Plans Using The Generalized Exponential Distribution, Journal of Statistics, 14, pp. 53-60, 2007.

Al-Omari, A.I., Time Truncated Acceptance Sampling Plans for Generalized Inverse Weibull Distribution, Journal of Statistics & Management, 19(1), pp. 1-19, 2016b.

Al-Omari, A.I., Al-Nasser, A.D., Gogah, F. & Haq, M.A., 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, 2017.

Al-Omari, A.I. & Zamanzade, E., Double Acceptance Sampling Plan for Time Truncated Life Tests Based on Transmuted Generalized Inverse Weibull Distribution, Journal of Statistics Applications and Probability, 6(1), pp. 1-6, 2017.

Shanker, R., Sharma, S., Shanker, U. & Shanker, R., Sushila Distribution and Its Application to Waiting Times Data, International Journal of Business Management, 3(2), pp. 1-11, 2013.

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

Gupta, S.S. & Groll, P.A., Gamma Distribution in Acceptance Sampling Based on Life Tests, Journal of American Statistical Association, 56(296), pp. 942-970, 1961.

Lawless, J.F., Statistical Models and Methods for Lifetime Data, John Wiley & Sons, New York, 1982.

Downloads

Published

2018-03-24

Issue

Section

Articles