Skip to main content
Have a personal or library account? Click to login
Estimating the parameters of lifetime distributions under progressively Type-II censoring from fuzzy data Cover

Estimating the parameters of lifetime distributions under progressively Type-II censoring from fuzzy data

Journal of Applied Mathematics, Statistics and Informatics
Volume 12 (2016): Issue 1 (May 2016)
By:  and    
Open Access
|Jun 2016
References

References

  1. Balakrishnan, N., and Aggarwala, R. (2000), Progressive Censoring: Theory, Methods and Applications. Birkhauser, Boston.
    Open DOISearch in Google Scholar
  2. Balakrishnan, N., and Asgharzadeh, A. (2005). Inference for the scaled half-logistic distribution based on progressively Type II censored samples. Communications in Statistics-Theory and Methods, 34, 73-87.
    Open DOISearch in Google Scholar
  3. Balakrishnan, N., and Kannan, N. (2000). Point and interval estimation for the parameters of the logistic distribution based on progressively Type-II censored samples. In N. Balakrishnan, and C. R. Rao (Eds.), Handbook of statistics: Vol. 20 (pp. 431-456).
    Search in Google Scholar
  4. Balakrishnan, N., Kannan, N., Lin, C. T., and Ng, H. K. T. (2003). Point and interval estimation for the normal distribution based on progressively Type-II censored samples. IEEE Transactions on Reliability, 52, 90-95.
    Open DOISearch in Google Scholar
  5. Balakrishnan, N. and Sandhu, R. A. (1995). A simple algorithm for generating progressively Type-II censored samples. The American Statistician, 49(2), 229-230.
    Search in Google Scholar
  6. Cohen, A. C. (1963). Progressively censored samples in life testing. Tecnometrics, Volume 5, 327-329.
    Open DOISearch in Google Scholar
  7. Coppi, R., Gil, M.A. and Kiers, H.A.L., (2006). The fuzzy approach to statistical analysis. Computational Statistics and Data Analysis, 51(1), 114.
    Open DOISearch in Google Scholar
  8. Denoeux, T. (2011). Maximum likelihood estimation from fuzzy data using the EM algorithm, Fuzzy Sets and Systems. 183(1), 72-91.
    Search in Google Scholar
  9. Dempster, A.P., Laird, N.M., and Rubin, D.B., (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society, Series B, 39, 1-38.
    Search in Google Scholar
  10. Dubois, D. and Prade, H.(1980). Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York.
    Search in Google Scholar
  11. Dyer, D. D. and Whisenand, C. W. (1973). Best linear estimator of the parameter of the Rayleigh distribution-Part I: Small sample theory for censored order statistics. IEEE Transactions on Reliability, 22, 27-34.
    Open DOISearch in Google Scholar
  12. Gebhardt, J., Gil M.A. and Kruse R., (1998). Fuzzy set-theoretic methods in statistics, in: R. Slowinski(Ed.), Fuzzy Sets in Decision Analysis, Operations Research and Statistics, Kluwer Academic Publishers, Boston, pp.311-347.
    Open DOISearch in Google Scholar
  13. Huang, H., Zuo, M. and Sun, Z., (2006). Bayesian reliability analysis for fuzzy lifetime data. Fuzzy Sets and Systems, 157, 16741686.
    Open DOISearch in Google Scholar
  14. Kim C. and Han K. (2009). Estimation of the scale parameter of the Rayleigh distribution under general progressive censoring, Journal of the Korean Statistical Society, 38, 239-246.
    Open DOISearch in Google Scholar
  15. Mann, N. R. (1971). Best linear invariant estimator for Weibull parameters under progressive censoring. Technometrics, 13, 521-533.
    Open DOISearch in Google Scholar
  16. Pak, A., Parham, G.H. and Saraj, M., (2013). On estimation of Rayleigh scale parameter under doubly Type-II censoring from imprecise data. Journal of Data Science, 11, 303-320.
    Search in Google Scholar
  17. Pak, A., Parham, G.H. and Saraj, M., (2014). Inferences on the Competing Risk Reliability Problem for Exponential Distribution Based on Fuzzy Data. IEEE Transactions on reliability, 63(1), 2-13.
    Open DOISearch in Google Scholar
  18. Polovko, A. M. (1968), Fundamentals of Reliability Theory. New York: Academic Press.
    Search in Google Scholar
  19. Pradhan B., and Kundu D. (2009). On progressively censored generalized exponential distribution, Test, 18, 497-515.
    Open DOISearch in Google Scholar
  20. Raqab, M. Z. and Madi, M. T. (2002). Bayesian prediction of the total time on test using doubly censored Rayleigh data. Journal of Statistical Computation and Simulation, 72, 781-789.
    Open DOISearch in Google Scholar
  21. Singpurwalla, N.D. and Booker, J.M. (2004). Membership functions and probability measures of fuzzy sets. Journal of the American Statistical Association, 99(467), 867877.
    Open DOISearch in Google Scholar
  22. Thomas D. R., Wilson W. M. (1972) Linear order statistic estimation for the two-parameter Weibull and extreme value distributions from Type-II progressively censored samples., Technometrics, 14, 679-691.
    Open DOISearch in Google Scholar
  23. Viveros, R., and Balakrishnan, N. (1994). Interval estimation of life characteristics from progressively censored data. Technometrics, 36, 84-91.
    Open DOISearch in Google Scholar
  24. Zadeh, L. A. (1968). Probability measures of fuzzy events, Journal of Mathematical Analysis and Applications10, 421-427.
    Open DOISearch in Google Scholar
  25. Zimmermann, H. J. (1991). Fuzzy set teory and its application, Kluwer, Dordrecht.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.1515/jamsi-2016-0004 | Journal eISSN: 1339-0015 (formerly 1336-9180) | Journal ISSN: 1336-9180
Journal RSS Feed
Language: English
Page range: 41 - 53
Published on: Jun 11, 2016
Published by: University of Ss. Cyril and Methodius in Trnava
In partnership with: Paradigm Publishing Services
Keywords:
Progressive Type-II censoring,
Fuzzy lifetime data,
Maximum likelihood estimation,
EM algorithm
MSC:
62N02
Related subjects:
Mathematics,
Applied mathematics

© 2016 N. B. Khoolenjani, O. Chatrabgoun, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 12 (2016): Issue 1 (May 2016)
Previous article
Next article