Double acceptance sampling plan based on truncated life tests for two-parameter Xgamma distribution


Abstract


In this paper, a double acceptance sampling plan (DASP) in terms oftruncated life tests is oered assuming that the lifetime of a product followsthe two-parameter Xgamma (TPXG) distribution. The mean of the TPXGdistribution is considered as the quality parameter. For a certain values ofthe consumer's condence level, the minimum sample sizes of the rst andsecond samples required to assert the identied mean life are achieved. Thecorresponding operating characteristic (OC) values for to the various qualitylevels are attained as well as the minimum ratios of the mean life to theindicated life are obtained. Numerical results and examples are presentedfor illustration.

DOI Code: 10.1285/i20705948v15n2p290

Keywords: Truncated life tests; Double acceptance sampling plan; Two-parameter Xgamma distribution; Consumer's risk; Operating characteristic value.

References


Al-Nasser, A.D. and Al-Omari, A.I. (2013). Acceptance sampling plan based on truncated life tests for exponentiated Frchet distribution. Journal of Statistics and Man-

agement Systems, 16(1): 13-24.

Al-Nasser, A.D., Al-Omari, A.I., Bani-Mustafa, A. and Jaber, K. (2018). Developing single acceptance sampling plans based on a truncated lifetime test for an Ishita

distribution. Statistics in Transition new series, 19(3): 393-406.

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.

Al-Omari, A.I. (2018). The transmuted generalized inverseWeibull distribution in acceptance sampling plans based on life tests. Transactions of the Institute of Measurement and Control, 40(16): 4432-4443.

Al-Omari, A.I., Al-Nasser, A.D. and Gogah, F.S. (2016). Double acceptance sampling plan for time-truncated life tests based on half normal distribution. Economic Quality

Control, 31 (2):9399.

Al-Omari, A.I., Al-Nasser, A.D., Gogah, F.S. and Haq, M.A. (2017). On exponenti-

ated generalized inverse Rayleigh distribution based on truncated life tests in double

acceptance sampling plan. Economic Quality Control, 32(1): 37-47.

Al-Omari, A.I., Al-Nasser, A.D. and Gogah, F.S. (2018). A double acceptance sam-

pling plan for Quasi Lindley distribution. Journal of the North for Basic and Applied

Sciences, 3(2): 120-130.

Al-Omari, A.I. and Zamanzade, E. (2017). Double acceptance sampling plan for time

truncated life tests based on transmuted generalized inverseWeibull distribution. Jour-

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

Aslam, M., and Jun, C.-H. (2010). A group acceptance sampling plans for truncated life

tests based on the inverse Rayleigh and log-logistic distributions. Pakistan Journal

Statistics, 25(2), 107119.

Babu, M., Rao, S. and Rosaiah, K. (2021). Double-Acceptance Sampling Plan for Expo-

nentiated Frchet Distribution with Known Shape Parameters. Mathematical Problems

in Engineering, Article ID 7308454, 9 pages.

Balakrishnan, N., Leiva, V., and Lopez, J. (2007). Acceptance sampling plans from

truncated life tests based on the generalized Birnbaum-Saunders distribution. Com-

munication in Statistics, Simulation and Computation, 36, 643-656.

Baklizi, A., El Masri, A. and Al-Nasser, A. (2005). Acceptance sampling plans in the

Rayleigh model. The Korean Communications in Statistics, 12(1), 1118.

Cordeiro, G.M., Ortega, E.M.M. and Cunha, D.C.C. (2013). The Exponentiated gener-

alized class of distributions. Journal of Data Science, 11, 1-27.

Electronic Journal of Applied Statistical Analysis 7

Gillariose, J. and Tomy, L. (2021). Reliability test plan for an extended Birnbaum-

Saunders distribution. Journal of Reliability and Statistical Studies, 14(1), 353372.

Hamurkaroglu, C., Yigiter, A. and Danacoglu, N. (2021). Single and double acceptance

sampling plans based on the time truncated life tests for the compound Weibull-

exponential distribution. Journal of the Indian Society for Probability and Statistics,

, 387-408.

Kantam, R.R.L., Rosaiah, K. and Rao, G.S. (2001). Acceptance sampling based on life

tests: log-logistic model. Journal of Applied Statistics, 28, 121128.

Gupta, S. S. and Groll, P. A. (1961). Gamma distribution in acceptance sampling based

on life tests. Journal of American Statistical Association 56, 942970.

Gui, W. (2014). Double acceptance sampling plan for time truncated life tests based on

Maxwell distribution. American Journal of Mathematical and Management Sciences,

, 98109.

Ramaswamy, A. S., and Anburajan, P. (2012). Double acceptance sampling based on

truncated life tests in generalized exponential distribution. Applied Mathematical Sci-

ences, 6(64), 3199-3207.

Rao, S. S. (2011). Double acceptance sampling plans based on truncated life tests for

the MarshallOlkin extended exponential distribution. Austrian Journal of Statistics,

(3), 169176.

Rao, S.S., Kantam, R.R.L., Rosaiah, K. and Reddy, J.P. (2012). Acceptance sampling

plans for percentiles based on the inverse Rayleigh distribution. Electronic Journal of

Applied Statistical Analysis, 5(2), 164177.

Rosaiah, K. and Kantam, R.R.L. (2005). Acceptance sampling based on the inverse

Rayleigh distribution. Economic Quality Control, 20(2), 277-286.

Rosaiah, K., Kantam, R.R.L and Reddy, J.P. (2008). Economic reliability test plan with

inverse Rayleigh variate. Pakistan Journal of Statistics, 24(1), 57-65.

Sen, S., Chandra, N. and Maiti, S.S. (2018). On properties and applications of a two-parameter Xgamma distribution. Journal of Statistical Theory and Applications,

(4), 674-685.


Full Text: pdf


Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.