Browse > Article
http://dx.doi.org/10.7232/iems.2011.10.2.154

A Reliability Sampling Plan Based on Progressive Interval Censoring Under Pareto Distribution of Second Kind  

Aslam, Muhammad (Department of Statistics, Forman Christian College University)
Huang, Syuan-Rong (Department of Management Sciences, Tamkang University)
Chi, Hyuck-Jun (Department of Industrial and Management Engineering, POSTECH)
Ahmad, Munir (National College of Business Administration & Economics)
Rasool, Mujahid (Department of Statistics, Forman Christian College University)
Publication Information
Industrial Engineering and Management Systems / v.10, no.2, 2011 , pp. 154-160 More about this Journal
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;
Citations & Related Records
연도 인용수 순위
  • Reference
1 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.   DOI   ScienceOn
2 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.
3 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.   DOI
4 Soliman, A. A. (2005), Estimation of parameters of life from progressively censored data using Burr-XII model, IEEE Transaction on Reliability, 54, 34-42.   DOI   ScienceOn
5 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.   DOI   ScienceOn
6 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.   DOI   ScienceOn
7 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.   DOI
8 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).
9 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.   DOI   ScienceOn
10 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.
11 Gouno, E., Sen, A., and Balakrishnan, N. (2004), Optimal step-stress test under progressive type-I censoring, IEEE Transaction on Reliability, 53, 388-393.   DOI   ScienceOn
12 Bain, L. J. and Engelhardt, M. (1992), Introduction to Probability and Mathematical, Statistics, 2nd ed., PWS KENT Publishing Company, Boston.
13 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.
14 Cohen, A. C. (1963), Progressively censored samples in life testing, Technometrics, 5, 327-339.   DOI   ScienceOn
15 Guilbaud, O. (2001), Exact non-parametric confidence intervals for quantiles with progressive type-II censoring, Scandinavian Journal of Statistics, 28, 699-713.   DOI   ScienceOn
16 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.   DOI   ScienceOn