THE ANALYSIS OF THE TWO PARAMETER EXPONENTIAL DISTRIBUTION BASED ON PROGRESSIVE TYPE II CENSORED DATA
THE ANALYSIS OF THE TWO PARAMETER EXPONENTIAL DISTRIBUTION BASED ON PROGRESSIVE TYPE II CENSORED DATA
In this study, the estimation of the parameters of the two parameters exponential distributionbased on progressive Type II censored data is considered. Assuming both location and scale parameters tobe unknown, the maximum likelihood(ML), penalized maximum likelihood (PML) and Bayes estimators areobtained. The results indicate that the PMLE is the same as the uniformly minimum variance unbiasedestimator (UMVUE). Further, the mean square errors of proposed estimators both analytical and MonteCarlo simulation study for different types of censoring schemes are computed. The results reveal that thePMLE and Bayes estimators outperform the MLE ones. This paper comes to an end by presenting anillustrative example
Keywords:
Bayes Estimators, Exponential Distribution Maximum Likelihood Estimators, Penalized Maximum Likelihood Estimators, Progressive Type II Censored Data,
___
- Aggarwala, R. and Balakrishnan,N.(1998). Some Properties of Progressive Censored Order Statistics From Arbitrary and Uniform Distributions with Applications to Inference And Simulation, Journal of Statistical Planing and Inference 70, 35- 49,
- Balakrishnan, N. and Sandhu, R., A. (1995). A Simple Simulation Algorithm for Generating Progressive Type-II Censored Samples, American Statistician, 49 (2), 229- 230.
- Balakrishnan, N. and Cramer, E. (2014). Art of Progressive Censoring:Applications to Reliability and Quality.Springer
- Cohen A. C. (1991). Truncated and Censored Samples: Theory and Applications. Marcel Dekker, New York.
- Gurunlu Alma, O., Arabi Belaghi, R. (2015c). On the estimation of Normal and Extreme Value distribu- tion Parameters based on progressive Type II hybrid censored data,Journal of Statistical Computation and Simulation, Accepted. http://dx.doi.org/10.1080/00949655.2015.1025785.
- Mann N. R., Schafer, R. E., Singpurwalla, N. D., (1974). Methods for Statistical Analysis of Reliability and Life Data, New York, John Wiley and Sons.
- Johnson, N. L., Kots, S. and Balakrisnnan, N. (1982). Univariate Distribution , vol 1, Wiley, New York.
- Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data, John Wiley and Sons, New York.
- ISSN: 1300-4077
- Başlangıç: 1998
- Yayıncı: Başbakanlık
Sayıdaki Diğer Makaleler
Naouel BELKHİR, Abbes RABHİ, Sara SOLTANİ.
REGIONAL CRIME ANALYSIS OF TURKEY: A TIME SERIES APPROACH