Double Acceptance Sampling Plans Based on Truncated Life Tests for the Marshall-Olkin Extended Exponential Distribution

Authors

  • G. Srinivasa Rao Hamelmalo Agricultural College, Eritrea

DOI:

https://doi.org/10.17713/ajs.v40i3.208

Abstract

In this paper, double acceptance sampling plans are developed for a truncated life test, when the lifetime of an item follows the Marshall-Olkin extended exponential distribution. The probability of acceptance is calculated for different consumer’s confidence levels fixing the producer’s risk at 0.05. The probability of acceptance and the producer’s risk are explained by means of examples.

References

Aslam, M. (2007). Double acceptance sampling based on truncated life tests in Rayleigh distribution. European Journal of Scientific Research, 17, 605-611.

Aslam, M., and Kantam, R. R. L. (2008). Economic reliability acceptance sampling based on truncated life tests in the Birnbaum-Saunders distribution. Pakistan Journal of Statistics, 24, 269-276.

Baklizi, A. (2003). Acceptance sampling based on truncated life tests in the Pareto distribution of the second kind. Advances and Applications in Statistics, 3, 33-48.

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

Balakrishnan, N., Leiva, V., and Lopez, J. (2007). Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution. Communication in Statistics, Simulation and Computation, 36, 643-656.

Epstein, B. (1954). Truncated life tests in the exponential case. Annals of Mathematical Statistics, 25, 555-564.

Ghitany, M. E., Al-Awadhi, F. A., and Alkhalfan, L. A. (2007). Marshal-Olkin extended Lomax distribution and its application to censored data. Communications in Statistics, Theory and Methods, 36, 1855-1866.

Goode, H. P., and Kao, J. H. K. (1961). Sampling plans based on the Weibull distribution. Philadelphia, Pennsylvania. (24-40)

Gupta, S. S. (1962). Life test sampling plans for normal and lognormal distribution. Technometrics, 4, 151-175.

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

Kantam, R. R. L., and Rosaiah, K. (1998). Half logistic distribution in acceptance sampling based on life tests. IAPQR Transactions, 23, 117-125.

Kantam, R. R. L., Rosaiah, K., and Srinivasa Rao, G. (2001). Acceptance sampling based on life tests: Log-logistic models. Journal of Applied Statistics, 28, 121-128.

Rosaiah, K., and Kantam, R. R. L. (2005). Acceptance sampling based on the inverse Rayleigh distribution. Economic Quality Control, 20, 277-286.

Rosaiah, K., Kantam, R. R. L., and Pratapa Reddy, J. (2007). Economic reliability test plan with inverse Rayleigh variate. Pakistan Journal of Statistics, 24, 57-65.

Rosaiah, K., Kantam, R. R. L., and Santosh Kumar, C. (2006). Reliability of test plans for exponentiated log-logistic distribution. Economic Quality Control, 21, 165-175.

Rosaiah, K., Kantam, R. R. L., and Santosh Kumar, C. (2007). Exponentiated log-logistic distribution – an economic reliability test plan. Pakistan Journal of Statistics, 23, 147-156.

Sobel, M., and Tischendorf, J. A. (1959). Acceptance sampling with new life test objectives. In Proceedings of fifth national symposium on reliability and quality control. Philadelphia, Pennsylvania. (108-118)

Srinivasa Rao, G., Ghitany, M. E., and Kantam, R. R. L. (2009). Reliability test plans for Marshall-Olkin extended exponential distribution. Applied Mathematical Sciences, 3, 2745-2755.

Tsai, T. R., and Wu, S. J. (2006). Acceptance sampling based on truncated life tests for generalized Rayleigh distribution. Journal of Applied Statistics, 33, 595-600.

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Published

2016-02-24

How to Cite

Rao, G. S. (2016). Double Acceptance Sampling Plans Based on Truncated Life Tests for the Marshall-Olkin Extended Exponential Distribution. Austrian Journal of Statistics, 40(3), 169–176. https://doi.org/10.17713/ajs.v40i3.208

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