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A Reliability Sampling Plan Based on Progressive Interval Censoring Under Pareto Distribution of Second Kind
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 Title & Authors
A Reliability Sampling Plan Based on Progressive Interval Censoring Under Pareto Distribution of Second Kind
Aslam, Muhammad; Huang, Syuan-Rong; Chi, Hyuck-Jun; Ahmad, Munir; Rasool, Mujahid;
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 Abstract
In this paper, a reliability sampling plan under progressively type-1 interval censoring is proposed when the lifetime of products follows the Pareto distribution of second kind. We use the maximum likelihood estimator for the median life and its asymptotic distribution. The cost model is proposed and the design parameters are determined such that the given producer's and the consumer's risks are satisfied. Tables are given and the results are explained with examples.
 Keywords
Acceptance Sampling;Cost Minimization;Pareto Distribution of Second kind;Maximum Likelihood Estimation;
 Language
English
 Cited by
1.
Designing of Group Sampling Plans Based on Gamma-Poisson Distribution, Journal of Testing and Evaluation, 2012, 40, 6, 103327  crossref(new windwow)
 References
1.
Ali, Mousa, M. A. M., and Jaheen, Z. F. (2002), Bayesian prediction for progressively censored data from the Burr model, Statistical Papers, 43, 587-593. crossref(new window)

2.
Aslam, M., Razzaque, A., Ahmad, M., and Zafer, Y. (2010), Group Acceptance Sampling Plans for Pareto Distribution of the Second Kind, Journal of Testing and Evaluation, 38(2), 143-150.

3.
Bain, L. J. and Engelhardt, M. (1992), Introduction to Probability and Mathematical, Statistics, 2nd ed., PWS KENT Publishing Company, Boston.

4.
Baklizi, A. (2003), Acceptance sampling based on truncated life tests in the Pareto distribution of the second kind, Advances and Application in Statistics, l. 3(1), 33-48.

5.
Cohen, A. C. (1963), Progressively censored samples in life testing, Technometrics, 5, 327-339. crossref(new window)

6.
Gouno, E., Sen, A., and Balakrishnan, N. (2004), Optimal step-stress test under progressive type-I censoring, IEEE Transaction on Reliability, 53, 388-393. crossref(new window)

7.
Guilbaud, O. (2001), Exact non-parametric confidence intervals for quantiles with progressive type-II censoring, Scandinavian Journal of Statistics, 28, 699-713. crossref(new window)

8.
Li, X., Shia, Y., Weia, J., and Chai, J. (2007), Empirical Bayes estimators of reliability performances using LINEX loss under progressively type-II censored sample, Math Comput Simul, 73, 320-326. crossref(new window)

9.
Lin, C.-T., Wu. S. J. S., and Balakrishnan, N. (2006), Inference for log-gamma distribution based on progressively type-II censored data, Communication in Statistics: Theory Methods, 35, 1271-1292. crossref(new window)

10.
Lio, Y. L., Tsai, Tzong-Ru, and Wu, Shuo-Jye (2010a), Acceptance sampling plans from truncated life tests based on the Birnbaum-saunders distribution for Percentiles, Communication in Statistics: Simulation and Computations, 39(1), 119-136.

11.
Lio, Y. L., Tsai, Tzong-Ru, and Wu, Shuo-Jye (2010b), Acceptance sampling plans from truncated life tests based on Burr type XII percentiles, Journal of Chinese institute of Industrial Engineers, 27(4), 270-280. crossref(new window)

12.
Soliman, A. A. (2005), Estimation of parameters of life from progressively censored data using Burr-XII model, IEEE Transaction on Reliability, 54, 34-42. crossref(new window)

13.
Tse, S.-K., Yuen H.-K., and Yang, C. (2002), Statistical analysis of exponential lifetimes under an integrated type-II interval censoring scheme, Journal of Statistical Simulation and Computation, 72, 461-471. crossref(new window)

14.
Wu, S.-J., Lin, Y.-P., and Chen, S.-T. (2008), Optimal step-stress test under type I progressive groupcensoring with random removals, Journal of Statistical Planning and Inference, 138, 817-826. crossref(new window)

15.
Wu, S.-J. and Huang, S.-R. (2008), Reliability sampling plans under progressively type-I interval censoring using cost functions, IEEE Transaction on Reliability, 57(3), 445-451. crossref(new window)

16.
Wu, S.-J. and Huang, S.-R. (2009), Optimal progressively group-censoring plans for exponential distribution in presence of cost constraint, Statistical Papers, (to appear).