Acceptance sampling plans based on truncated life tests for extended exponential distribution

Authors

  • Amer Al-Omari Al al-Bayt University, Faculty of Science, Department of Mathematics.
  • Said Al-Hadhrami

Keywords:

Extended exponential distribution, Producer's risk, Acceptance sampling, Consumer's risk, Operating characteristic, Truncated life test.

Abstract

In this paper, acceptance sampling plans are suggested for the extended exponential distribution mean, when the life time test is truncated at a pre-fixed time. The minimum sample sizes needed to assert the specified life mean are presented under a given customer,s risk. The operating characteristic function values of the proposed sampling plans and producer,s risk are provided. Some tables are given and the results are illustrated by numerical examples. An application of a real data set reveals that the proposed acceptance sampling plans can be used in the industry.

Author Biography

Said Al-Hadhrami

College of Applied Sciences, Nizwa

References

Al-Nasser, A.D. & Al-Omari, A.I. (2013). Acceptance

sampling plan based on truncated life tests for exponentiated

Frechet distribution. Journal of Statistics and Management

Systems, 16(1): 13-24.

Al-Omari, A.I. (2014). Acceptance sampling plan based on

truncated life tests for three parameter Kappa distribution.

Economic Quality Control, 29(1): 53-62.

Al-Omari, A.I. (2015). Time truncated acceptance sampling

plans for generalized inverted exponential distribution.

Electronic Journal of Applied Statistical Analysis, 8(1): 1-12.

A-Omari, A.I. (2016). Time truncated acceptance sampling

plans for generalized inverse Weibull distribution. Journal of

Statistics & Management Systems, 19(1): 1-19.

A-Omari, A.I., A-Nasser A.D. & Gogah, F.S. (2016).

Double acceptance sampling plan for time-truncated life

tests based on half normal distribution. Economic Quality

Control, 31 (2): 93–99.

Al-Omari, A.I. & Zamanzade, E. (2017). Double

acceptance sampling plan for time truncated life tests based

on transmuted generalized inverse Weibull distribution.

Journal of Statistics Applications and Probability, 6(1): 1-6.

Aslam, M., Balamurali, S., Jun, C. H. & Ahmad, M.

(2010). A new variables sampling plan for life testing in a

continuous process under Weibull distribution. Pakistan

Journal of Statistics, 26(3): 539-546.

Aslam, M. & Jun, C.H. (2010). A double acceptance

sampling plan for generalized log-logistic distributions

with known shape parameters. Journal of Applied Statistics,

(3): 405–414.

Baklizi, A. & El Masri, A.E. (2004). Acceptance sampling

based on truncated life tests in the Birnbaum Saunders model.

Risk Analysis, 24(6): 1453–1457.

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

: 643–656.

Gómez, Y.M., Bolfarine, H. & Gómez, H.W. (2014).

A new extension of the exponential distribution. Revista

Colombiana de Estadistica, 37(1): 25-34.

Gupta, S.S. & Groll, P.A. (1961). Gamma distribution in

acceptance sampling based on life tests. Journal of American

Statistical Association, 56: 942–970.

Kantam, R.R.L., Rosaiah, K. & Rao, G.S. (2001).

Acceptance sampling based on life tests: log-logistic model.

Journal of Applied Statistics, 28(1): 121–128.

Lio, Y.L., Tsai, T.R. & Wu, S.J. (2010). Acceptance

sampling plans from truncated life tests based on the Burr

type XII percentiles. Journal of the Chinese Institute of

Industrial Engineers, 27(4): 270-280.

Ramaswamy, A.S. & Anburajan, P. (2012). Double

acceptance sampling based on truncated life tests in

generalized exponential distribution. Applied Mathematical

Sciences, 6(64): 3199-3207.

Ramaswamy, A.R. & Jayasri, S. (2014). Time truncated

chain sampling plans for generalized Rayleigh distribution.

International Refereed Journal of Engineering and Science,

(2): 49-53.

Ramaswamy, A.R. & Jayasri, S. (2013). Time truncated

chain sampling plans for Marshall-Olkin extended

exponential distributions. IOSR Journal of Mathematics,

(1): 1-5.

Rao, S. S. (2011). Double acceptance sampling plans based

on truncated life tests for the Marshall–Olkin extended

exponential distribution. Austrian Journal of Statistics, 40(3):

–176.

Rao, G.S. & Kantam, R.R.L. (2010). Acceptance sampling

plans from truncated life tests based on the log-logistic

distribution for percentiles. Economic Quality Control,

(2): 153-167.

Rao, G.S. Kantam, R.R.L., Rosaiah, K. & Reddy, P.

(2012). Acceptance sampling plans for percentiles based

on the inverse Rayleigh distribution. Electronic Journal of

Applied Statistical Analysis, 5(2): 164-177.

Rosaiah, K. & Kantam, R.R.L. (2005). Acceptance

sampling based on the inverse Rayleigh distribution.

Economic Quality Control, 20: 277–286.

Sobel, M. & Tischendrof, J.A. (1959). Acceptance sampling

with new life test objectives. Proceedings of Fifth National

Symposium Reliability and Quality Control, Philadelphia,

Pennsylvania, 108–118.

Wood, A. (1996). Predicting software reliability. Computer,

: 69–77.

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Published

02-05-2018