Accès libre

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

À propos de cet article

Citez

Balakrishnan, N., and Aggarwala, R. (2000), Progressive Censoring: Theory, Methods and Applications. Birkhauser, Boston.10.1007/978-1-4612-1334-5Search in Google Scholar

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, 73-87.10.1081/STA-200045814Search in Google Scholar

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

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, 90-95.10.1109/TR.2002.805786Search in Google Scholar

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

Cohen, A. C. (1963). Progressively censored samples in life testing. Tecnometrics, Volume 5, 327-329.10.1080/00401706.1963.10490102Search in Google Scholar

Coppi, R., Gil, M.A. and Kiers, H.A.L., (2006). The fuzzy approach to statistical analysis. Computational Statistics and Data Analysis, 51(1), 114.10.1016/j.csda.2006.05.012Search in Google Scholar

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

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

Dubois, D. and Prade, H.(1980). Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York.Search in Google Scholar

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, 27-34.10.1109/TR.1973.5216019Search in Google Scholar

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.311-347.10.1007/978-1-4615-5645-9_10Search in Google Scholar

Huang, H., Zuo, M. and Sun, Z., (2006). Bayesian reliability analysis for fuzzy lifetime data. Fuzzy Sets and Systems, 157, 16741686.10.1016/j.fss.2005.11.009Search in Google Scholar

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, 239-246.10.1016/j.jkss.2008.10.005Search in Google Scholar

Mann, N. R. (1971). Best linear invariant estimator for Weibull parameters under progressive censoring. Technometrics, 13, 521-533.10.1080/00401706.1971.10488815Search in Google Scholar

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

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), 2-13.10.1109/TR.2014.2298812Search in Google Scholar

Polovko, A. M. (1968), Fundamentals of Reliability Theory. New York: Academic Press.Search in Google Scholar

Pradhan B., and Kundu D. (2009). On progressively censored generalized exponential distribution, Test, 18, 497-515.10.1007/s11749-008-0110-1Search in Google Scholar

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, 781-789.10.1080/00949650214670Search in Google Scholar

Singpurwalla, N.D. and Booker, J.M. (2004). Membership functions and probability measures of fuzzy sets. Journal of the American Statistical Association, 99(467), 867877.10.1198/016214504000001196Search in Google Scholar

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, 679-691.10.1080/00401706.1972.10488957Search in Google Scholar

Viveros, R., and Balakrishnan, N. (1994). Interval estimation of life characteristics from progressively censored data. Technometrics, 36, 84-91.10.1080/00401706.1994.10485403Search in Google Scholar

Zadeh, L. A. (1968). Probability measures of fuzzy events, Journal of Mathematical Analysis and Applications10, 421-427.10.1016/0022-247X(68)90078-4Search in Google Scholar

Zimmermann, H. J. (1991). Fuzzy set teory and its application, Kluwer, Dordrecht.10.1007/978-94-015-7949-0Search in Google Scholar