International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.2, Apr. 2015, Pub. Date: Mar. 26, 2015
An Economic Reliability Test Plan Based on Truncated Life Tests for Marshall-Olkin Extended Weibull Distribution
Pages: 50-54 Views: 1377 Downloads: 590
Authors
[01] G. Srinivasa Rao, Department of Statistics, The University of Dodoma, Dodoma, Tanzania.
Abstract
The Marshall-Olkin extended Weibull distribution is considered as a probability model for the lifetime of the product. A test plan to determine the termination time of the experiment for a given sample size, producer’s risk and termination number is constructed. The preferability of the present test plan over similar plans exists in the literature is established with respect to time of the experiment. Results are illustrated by an example.
Keywords
Marshall-Olkin Extended Weibull Distribution, Reliability Test Plan, Minimum Sample Size, Producer’s Risk
References
[01] M. Aslam, M.Q. Shahbaz, "Economic reliability tests plans using the generalized exponential distribution," Journal of Statistics, Vol.14, pp. 52-59, 2007.
[02] M. Aslam, R.R.L. Kantam, "Economic reliability acceptance sampling based on truncated life tests in the Birnbaum-Saunders distribution," Pakistan Journal of Statistics, Vol. 24, pp. 269-276, 2008.
[03] A. Bklizi, "Acceptance sampling based on truncated life tests in the Pareto distribution of the second kind," Adv. Appl. Statist., Vol. 3, pp. 33-48, 2003.
[04] N. Balakrishnan, L. Victor, L. Jorge, "Acceptance sampling plans from truncated life tests based on the generalized Birnbaum–Saunders distribution," Commun. Statist. -Simul. Comput., Vol. 36, pp. 643- 656, 2007.
[05] B. Epstein, "Truncated life tests in the exponential case," Ann. Mathemat. Statist., Vol. 25, pp. 555-564, 1954.
[06] K.W. Fertig, N.R. Maan, "Life-test sampling plans for two-parameter Weibull populations," Technometrics, Vol. 22, pp. 165-177, 1980.
[07] M.E. Ghitany, E.K. Al-Hussaini, R.A. Al-Jarallah, " Marshall- Olkin extended Weibull distribution and its application to censored data," Journal of Applied Statistics, Vol. 32, pp. 1025-1034, 2005.
[08] H.P. Goode, J.H.K. Kao, "Sampling plans based on the Weibull distribution," Proceedings of Seventh National Symposium on Reliability and Quality Control, Philadelphia, Pennsylvania, 1961, pp. 24-40.
[09] S.S. Gupta, "Life test sampling plans for normal and lognormal distribution," Technometrics, Vol. 4, pp.151-175, 1962.
[10] S.S. Gupta, P.A. Groll, "Gamma distribution in acceptance sampling based on life tests," J. Amer. Statist. Assoc., Vol. 56, pp. 942-970, 1961.
[11] N.L. Johnson, S. Kotz, N. Balakrishnan, "Continuous univariate distributions," vol.2, 2nd Ed. New York, John Wiley & Sons, 1995.
[12] R.R.L. Kantam, K. Rosaiah, G.S. Rao, "Acceptance sampling based on life tests: log-logistic model," Journal of Applied Statistics, Vol. 28, pp.121-128, 2001.
[13] R.R.L. Kantam, G.S. Rao, B. Sriram, "An economicreliability test plan: log-logistic distribution," Journal of Applied Statistics, Vol. 33, pp. 291-296, 2006.
[14] D.C. Montgomery, "Introduction to Statistical Quality Control," John Wiley and Sons, New York, 1997.
[15] A.W. Marshall, I. Olkin, "A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families," Biometrika, Vol. 84, pp. 641-652, 1997.
[16] A. Priyah, A.R.R. Sudamani, "A group acceptance sampling plan for weighted binomial on truncated life tests using exponential and Weibull distributions," Journal of Progressive Research in Mathematics, Vol. 2, pp. 80-88, 2015.
[17] P.R.M. Rao, G.S. Rao, "Acceptance sampling plans from truncated life tests based on the Marshall-Olkin extended Weibull distribution," International Journal of Agricultural and Statistical Science, Vol. 10, pp. 21-26, 2014.
[18] G.S. Rao, M.E. Ghitany, R.R.L. Kantam, "Acceptance sampling plans for Marshall-Olkin extended Lomax distribution," International Journal of Applied Mathematics, Vol. 21, pp. 315-325, 2008.
[19] G.S. Rao, M.E. Ghitany, R.R.L. Kantam, "arshall-Olkin extended Lomax distribution: an economic reliability test plan," International Journal of Applied Mathematics, 22(1), 139-148,2009a.
[20] G.S. Rao, M.E. Ghitany, R.R.L. Kantam, "Reliability Test Plans for Marshall-Olkin extended exponential distribution," Applied Mathematical Sciences, Vol. 3, pp. 2745-2755, 2009b.
[21] M. Sobel, J.A. Tischendrof, "Acceptance sampling with new life test objectives," Proceedings of Fifth National Symposium on Reliability and Quality Control, Philadelphia, Pennsylvania, 1956, pp. 108-118.
[22] G.V. Sriramachandran, M. Palanivel, "Acceptance sampling plans from truncated life tests based on exponentiated inverse Rayleigh distribution," Journal of modern Mathematics and Statistics, Vol. 8, pp. 8-13, 2014.
[23] K.S. Stephens, "The Handbook of Applied Acceptance Sampling: Plans," Procedures and Principles, Milwaukee, WI: ASQ Quality Press, 2001.
[24] T.R, Tsai, S.J. Wu, "Acceptance sampling based on truncated life tests for generalized Rayleigh distribution" Journal of Applied Statistics, Vol. 33, pp. 595-600, 2006.
[25] A. Wood, "Predicting software reliability," IEEE Transactions on Software Engineering, Vol. 22, pp. 69-77, 1996.
600 ATLANTIC AVE, BOSTON,
MA 02210, USA
+001-6179630233
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - 2017 American Institute of Science except certain content provided by third parties.