1
Mutah University, Faculty of Science, Jordan
(khaldiahmad1221@gmail.com)
2
Mutah University, Faculty of Science, Jordan
(ammarrawashde8932@gmail.com)
Abstract :
A variety of shrinkage methods for estimating unknown parameters has been considered. We derive and compare the shrinkage estimators for the reliability function of the two-parameter exponential distribution. Simulation experiments are used to study the performances of these estimators.
Keywords :
Shrinkage Estimators; Reliability Function; Variance Properties
References :
[1] Basu, A. P. (1964). “Estimates of Reliability for Some Distributions Useful in Life Testing”. Technometrics. (6). 215-219.
[2] Epstein, B. & Sobel, M. (1954). “Some Theorems Relevant to Life Testing From an Exponential Distribution”. Ann. Math. Statist. (25). 373-381.
[3] Lee, J.B. (1978). "Statistical Analysis of Reliability and Life-Testing Models". Marcel Dekker, Inc. Newyork. 163.
[4] Lemmer, H. H. (1981). “From Ordinary to Bayesian Shrinkage Estimators”. South African Statist. J. (15). 57-72.
[5] Mehta, J. S. & Srinivasan, R. (1971). “Estimation of the Mean by Shrinkage to a Point”. J. Amer. Statist. Asso. (66). 86-90.
[6] Pandey, B.N. (1979). “On Shrinkage Estimation of Normal Population Variance”. Commun. Statist. (8). 359-365.
[7] Pandey, B.N. & Singh, J. (1977). “Estimation of Varience of Normal Population Prior Information”. J. Indian Assoc. (15). 141-50
[8] Thompson, J.R. (1968). “Some Shrinkage Techniques for Estimating the Mean”. J. Amer. Statist. Assoc. (63). 113-123.
| Style | # |
|---|---|
| MLA | Ahmad Khaldi, Ammar Rawashdeh. "A Study of Shrinkage Estimators for Reliability Function and Variance Properties." Galoitica: Journal of Mathematical Structures and Applications, Vol. 4, No. 1, 2023 ,PP. 26-28 (Doi : https://doi.org/10.54216/GJMSA.040104) |
| APA | Ahmad Khaldi, Ammar Rawashdeh. (2023). A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 1 ), 26-28 (Doi : https://doi.org/10.54216/GJMSA.040104) |
| Chicago | Ahmad Khaldi, Ammar Rawashdeh. "A Study of Shrinkage Estimators for Reliability Function and Variance Properties." Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 no. 1 (2023): 26-28 (Doi : https://doi.org/10.54216/GJMSA.040104) |
| Harvard | Ahmad Khaldi, Ammar Rawashdeh. (2023). A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 1 ), 26-28 (Doi : https://doi.org/10.54216/GJMSA.040104) |
| Vancouver | Ahmad Khaldi, Ammar Rawashdeh. A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 4 ( 1 ): 26-28 (Doi : https://doi.org/10.54216/GJMSA.040104) |
| IEEE | Ahmad Khaldi, Ammar Rawashdeh, A Study of Shrinkage Estimators for Reliability Function and Variance Properties, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 4 , No. 1 , (2023) : 26-28 (Doi : https://doi.org/10.54216/GJMSA.040104) |