Reliability test plan based on Dagum distribution
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2016-05-25 https://doi.org/10.14419/ijasp.v4i1.6165 -
Acceptance sampling plan, Consumer and Producer’s risks, Dagum distribution, Truncated life test -
Abstract
Apart from other probability models, Dagum distribution is also an effective probability distribution that can be considered for studying the lifetime of a product/material. Reliability test plans deal with sampling procedures in which items are put to test to decide from the life of the items to accept or reject a submitted lot. In the present study, a reliability test plan is proposed to determine the termination time of the experiment for a given sample size, producers risk and termination number when the quantity of interest follows Dagum distribution. In addition to that, a comparison between the proposed and the existing reliability test plans is carried out with respect to time of the experiment. In the end, an example illustrates the results of the proposed plan.
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References
[1] C. Dagum, A New Model for Personal Income Distribution: Specification and Estimation, Economic Applique, Vol. 33, (1977), pp. 413–437.
[2] F. Domma, L’andamento della Hazard function nel modello di Dagum a tre parametri, Quaderni di Statistica, Vol. 4, (2002), pp. 103–114.
[3] F. Domma S. Giordano and M. M. Zenga, Maximum likelihood estimation in Dagum distribution with censored sample, Journal of Applied Statistics, Vol. 38, (2011), pp. 2971–2985.
[4] F. Domma and F. Condino, The beta-Dagum distribution: definition and properties, Communications in Statistics-Theory and Methods, Vol. 42, (2013), pp. 4070–4090.
[5] C. Kleiber and S. Kotz, Statistical Size Distributions in Economics and Actuarial Sciences. John Wiley, Hoboken, New Jersey, 2003.
[6] C. Kleiber, A guide to the Dagum distributions. Springer, New York, 2008.
[7] M. N. Shahzad and Z. Asghar, Comparing TL-Moments, L-Moments and Conventional Moments of Dagum Distribution by Simulated data, Revista Colombiana de Estadistica, Vol. 36, (2013), pp. 79–93.
[8] B. O. Oluyede and Y. Ye, Weighted Dagum and related distributions, Afrika Matematika, Vol. 25, (2014), pp. 1125–1141.
[9] B. Epstein, Truncated life test in the exponential case, Annals of Mathematical Statistics, Vol. 25, (1954), pp. 555–564.
[10] M. Sobel, and J. A. Tischendrof, Acceptance sampling with new life test objectives, Proceedings of the Fifth National Symposium on Reliability and Quality Control, Philadelphia, (1959), pp. 108–118.
[11] H. P. Goode, and J. H. K. Kao, Sampling plans based on the Weibull distribution, Proceedings of the Seventh National Symposium on Reliability and Quality Control, Philadelphia, (1961), pp. 24–40.
[12] S. S. Gupta, and P. A. Groll, Gamma distribution in acceptance sampling based on life tests, Journal of the American Statistical Association, Vol. 56, (1961), pp. 942–970.
[13] S. S. Gupta, Life test plans for normal and log-normal distributions, Technometrics, Vol. 4, (1962), pp. 151–160.
[14] R. R. L. Kantam, and K. Rosaiah, Half-logistic distribution in acceptance sampling based on life tests, APQR Transactions, Vol. 23, (1998), pp. 117–125.
[15] R. R. L. Kantam, K. Rosaiah, and R. C. Srinivas, Acceptance sampling plans based based on life tests: Log-logistic model, Journal of Applied Statistics, Vol. 28, (2001), pp. 121–128.
[16] K. Rosaiah, and R. R. L. Kantam, Acceptance sampling plans based based on inverse Rayleigh distribution, Economic Quality Control, Vol. 20, (2001), pp: 151–160.
[17] N. Balakrishnan, V. Leiva, and J. Lopez, Acceptance sampling plans from truncated life test based on generalized Birnbaum-Saunders distribution, Communications in Statistics-Simulation and Computation, Vol. 36, (2007), pp: 643–656.
[18] M. Aslam, M.Q. Shahbaz, Economic reliability tests plans using the generalized exponential distribution, Journal of Statistics, Vol. 14, (2007), pp: 52–59
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Received date: 2016-04-26
Accepted date: 2016-05-24
Published date: 2016-05-25