1
Department of Statistics, Semnan University, Semnan, Iran
2
Department of Statistics, University of Mazandaran, Babolsar, Iran
3
Department of Statistical Science, Southern Methodist University, Dallas, USA
10.22034/jirss.2017.16.01
Abstract
Lindley distribution has received considerable attention in the statistical literature due to its simplicity. In this paper, we consider the problem of predicting the failure times of experimental units that are censored in a right-censored sample when the underlying lifetime is Lindley distributed. The maximum likelihood predictor, the Best unbiased predictor and the conditional median predictor are derived. Prediction intervals based on these predictors are considered. We further propose two resampling-based procedures for obtaining the prediction intervals. A numerical example is used to illustrate the methodology developed in this paper. Finally, a Monte Carlo simulation study is employed to evaluate the performance of different prediction methods.
Valiollahi,R. , Asgharzadeh,A. and Ng,H. K. T. (2022). Prediction for Lindley Distribution Based on Type-II Right Censored Samples. Journal of the Iranian Statistical Society, 16(2), 1-19. doi: 10.22034/jirss.2017.16.01
MLA
Valiollahi,R. , , Asgharzadeh,A. , and Ng,H. K. T. . "Prediction for Lindley Distribution Based on Type-II Right Censored Samples", Journal of the Iranian Statistical Society, 16, 2, 2022, 1-19. doi: 10.22034/jirss.2017.16.01
HARVARD
Valiollahi R., Asgharzadeh A., Ng H. K. T. (2022). 'Prediction for Lindley Distribution Based on Type-II Right Censored Samples', Journal of the Iranian Statistical Society, 16(2), pp. 1-19. doi: 10.22034/jirss.2017.16.01
CHICAGO
R. Valiollahi, A. Asgharzadeh and H. K. T. Ng, "Prediction for Lindley Distribution Based on Type-II Right Censored Samples," Journal of the Iranian Statistical Society, 16 2 (2022): 1-19, doi: 10.22034/jirss.2017.16.01
VANCOUVER
Valiollahi R., Asgharzadeh A., Ng H. K. T. Prediction for Lindley Distribution Based on Type-II Right Censored Samples. JIRSS, 2022; 16(2): 1-19. doi: 10.22034/jirss.2017.16.01
Journal of the Iranian Statistical Society