Computational comparison for weighted moments estimators and BLUE of the scale parameter of a Pareto distribution with known shape parameter under type II multiply censored sample

Applied Mathematics and Computation

Volumn 181, Issue 2, 2006, Pages 1462-1470

  Wu, Jong Wuu ^a   Lee, Wen Chuan ^b   Chen, Sheau Chiann ^c  

^a NATIONAL CHIAYI UNIVERSITY   (Taiwan)

^b CHANG JUNG CHRISTIAN UNIVERSITY   (Taiwan)

^c TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Best linear unbiased estimators; Mean squared error; Pareto distribution; Type II multiply censoring; Weighted moments estimators

Indexed keywords

COMPUTATIONAL METHODS; ERROR ANALYSIS; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS;

LINEAR UNBIASED ESTIMATORS; MEAN SQUARED ERRORS; PARETO DISTRIBUTION; TYPE II MULTIPLY CENSORING; WEIGHTED MOMENTS ESTIMATORS (WME);

PARETO PRINCIPLE;

EID: 33750451632     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.02.051     Document Type: Article

References (14)

1. Balakrishnan N., and Cohen C.A. Order Statistics and Inference (1991), Academic Press, Inc.
2. S.C. Chen, Prediction Intervals of Future Observation and Waiting Time from Exponential and Pareto Distributions based on Multiply Type II Censored Samples, Master Dissertation, Tamkang University, Tamsui, Taipei, Taiwan, ROC, 2003.
3. Fernández A.J. On maximum likelihood prediction based on type II doubly censored exponential data. Metrika 50 (2000) 211-220
4. Kulldorff G., and Vännman K. Estimation of the location and scale parameters of a Pareto distribution by linear functions of order statistics. Journal of the American Statistical Association 68 (1973) 218-227
5. Leemis L.M., and Shih L.H. Exponential parameter estimation for data sets containing left and right censored observations. Communications in Statistics - Simulation and Computation 18 (1989) 1077-1085
6. Lin C.T., and Balakrishnan N. Exact linear inference for scale exponential distribution based on doubly type-II censored samples. Journal of Statistical Computation and Simulation 71 (2001) 183-199
7. McNolty F., Doyle J., and Hansen E. Properties of the mixed exponential failure process. Technometrics 22 (1980) 241-244
8. Ouyang L.Y., and Wu S.J. Prediction intervals for and ordered observation form a Pareto distribution. IEEE Transactions on Reliability 43 (1994) 264-269
9. Sarhan A.E., and Greenberg B.G. Contributions to Order Statistics (1962), John Wiley and Sons, Inc., New York
10. Tiku M.L. A note on estimating the location and scale parameters of the exponential distribution from a censored sample. Australian Journal of Statistics 9 (1967) 49-54
11. Upadhyay S.K., Singh U., and Shastri V. Estimation of exponential parameters under multiply type II censoring. Communications in Statistics - Simulation and Computation 25 (1996) 801-815
12. Vännman K. Estimators based on order statistics from a Pareto distribution. Journal of the American Statistical Association 71 (1976) 704-708
13. Wu J.W., Lu H.L., Chen C.H., and Yang C.H. A note on the prediction intervals of a future ordered observation from a Pareto distribution. Quality & Quantity 38 (2004) 217-233
14. Wu J.W., and Yang C.C. Weighted moments estimation of the scale parameter of the exponential distribution based on a multiply type II censored sample. Quality and Reliability Engineering International 18 (2002) 149-154