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Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 4 • Issue 1 • PP: 26-28 • 2023

A Study of Shrinkage Estimators for Reliability Function and Variance Properties

Ahmad Khaldi 1*
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Ammar Rawashdeh 1
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1Mutah University, Faculty of Science, Jordan
* Corresponding Author.
DOI https://doi.org/10.54216/GJMSA.040104
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: October 14, 2022 Accepted: March 07, 2023
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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.

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Khaldi, Ahmad, Rawashdeh, Ammar. "A Study of Shrinkage Estimators for Reliability Function and Variance Properties." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 4, no. Issue 1, 2023, pp. 26-28. DOI: https://doi.org/10.54216/GJMSA.040104
Khaldi, A., Rawashdeh, A. (2023). A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Galoitica: Journal of Mathematical Structures and Applications, Volume 4(Issue 1), 26-28. DOI: https://doi.org/10.54216/GJMSA.040104
Khaldi, Ahmad, Rawashdeh, Ammar. "A Study of Shrinkage Estimators for Reliability Function and Variance Properties." Galoitica: Journal of Mathematical Structures and Applications Volume 4, no. Issue 1 (2023): 26-28. DOI: https://doi.org/10.54216/GJMSA.040104
Khaldi, A., Rawashdeh, A. (2023) 'A Study of Shrinkage Estimators for Reliability Function and Variance Properties', Galoitica: Journal of Mathematical Structures and Applications, Volume 4(Issue 1), pp. 26-28. DOI: https://doi.org/10.54216/GJMSA.040104
Khaldi A, Rawashdeh A. A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 4(Issue 1):26-28. DOI: https://doi.org/10.54216/GJMSA.040104
A. Khaldi, A. Rawashdeh, "A Study of Shrinkage Estimators for Reliability Function and Variance Properties," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 4, no. Issue 1, pp. 26-28, 2023. DOI: https://doi.org/10.54216/GJMSA.040104
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