A Hybrid Group Acceptance Sampling Plan for Lifetimes Based on Gamma, Exponentiated Log - Logistic and Marshall - Olkin extended exponential Distributions

Priyah Anburajan; A. R. Sudamani Ramaswamy

Priyah Anburajan Research Scholar, Department of Mathematics, Avinashilingam University, Coimbatore - 641043, Tamil Nadu, India
A. R. Sudamani Ramaswamy Associate Professor, Department of Mathematics, Avinashilingam University, Coimbatore, Tamil Nadu, India

Keywords: Gamma distribution, exponentiated log, logistic distribution and Marshall, Olkin extended exponential distribution, hybrid group acceptance sampling plan, consumer's risk, producer's risk, operating characteristic, truncated life tests.

Abstract

In this paper we have developed a hybrid group acceptance sampling plan for a truncated life test when the lifetime of an item follows gamma distribution, exponentiated log - logistic distribution and Marshall - Olkin extended exponential distribution. The minimum number of testers and acceptance number are determined when the consumer's risk and the test termination time and group size are specified. The operating characteristic values according to various quality levels are also obtained.

Downloads

Download data is not yet available.

References

Aslam, M. and C.H., 2009, A group acceptance sampling plans for truncated life tests based on the inverse Rayleigh and log-logistic distributions, Pak. J. Stat., 25: 107-119.

Baklizi, A. and El Masri, A.E.K., 2004, Acceptance sampling plans based on truncated life tests in the Birnbaum Saunders model, Risk Analysis, vol. 24, 1453 - 1457.

Rosaiah K., Kantam R.R.L., Santosh Kumar (2007). Exponentiated Log – Logistic distribution – An economic reliability test plan. Pak. J. Statist., Vol. 23(2) pp 147 – 156.

Gupta, S. S. and Groll, P.A., 1961, Gamma distribution in acceptance sampling based on life tests, Journal of the American Statistical Association, vol. 56, 942 - 970.

Srinivasa Rao, Ghitany M.E., “Reliability test plans for Marshall – Olkin extended exponential distribution”, Applied Mathematical Sciences, Vol. 3, 2009, no. 55, 2745 – 2755

Muhammad Aslam, Chi-Hyuck Jun, Munir Ahmad, 2009, A group acceptance plan based on truncated life test for Gamma distribution”, Pak. J. Statist., Vol. 25(3), 333 - 340.

Srinivasa Rao, G., 2009, A group acceptance sampling plans for lifetimes following a generalized exponential distribution, Economic Quality Control, Vol. 24(2009), No. 1, 75 – 85.

Muhammad Aslam, Chi-Hyuck Jun, Munir Ahmad, Mujahid Rasool, 2011 Improved group sampling plans based on time – truncated life tests, Chilean Journal of Statistics Vol. 2, No. 1, April 2011, 85–9.

Srinivasa Rao, G., 2011, A hybrid group acceptance sampling plans for lifetimes based on generalized exponential distribution, Journal of Applied Sciences, 11: 2232-2237.

Srinivasa Rao, G., 2010, A group acceptance sampling plans for truncated life tests for Marshall-Olkin extended Lomax distribution, Electron. J. Applied Stat. Anal., 3: 18-27.