Galoitica: Journal of Mathematical Structures and Applications

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https://doi.org/10.54216/GJSMA

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Galoitica: Journal of Mathematical Structures and Applications

Volume 4 , Issue 1 , PP: 26-28, 2023 | Cite this article as | XML | Html | PDF

A Study of Shrinkage Estimators for Reliability Function and Variance Properties

Ahmad Khaldi 1 * , Ammar Rawashdeh 2

  • 1 Mutah University, Faculty of Science, Jordan - (khaldiahmad1221@gmail.com)
  • 2 Mutah University, Faculty of Science, Jordan - (ammarrawashde8932@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.040104

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

    Cite This Article As :
    Ahmad Khaldi, Ammar Rawashdeh. "A Study of Shrinkage Estimators for Reliability Function and Variance Properties." Full Length Article, Vol. 4, No. 1, 2023 ,PP. 26-28 (Doi   :  https://doi.org/10.54216/GJMSA.040104)
    Ahmad Khaldi, Ammar Rawashdeh. (2023). A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Journal of , 4 ( 1 ), 26-28 (Doi   :  https://doi.org/10.54216/GJMSA.040104)
    Ahmad Khaldi, Ammar Rawashdeh. "A Study of Shrinkage Estimators for Reliability Function and Variance Properties." Journal of , 4 no. 1 (2023): 26-28 (Doi   :  https://doi.org/10.54216/GJMSA.040104)
    Ahmad Khaldi, Ammar Rawashdeh. (2023). A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Journal of , 4 ( 1 ), 26-28 (Doi   :  https://doi.org/10.54216/GJMSA.040104)
    Ahmad Khaldi, Ammar Rawashdeh. A Study of Shrinkage Estimators for Reliability Function and Variance Properties. Journal of , (2023); 4 ( 1 ): 26-28 (Doi   :  https://doi.org/10.54216/GJMSA.040104)
    Ahmad Khaldi, Ammar Rawashdeh, A Study of Shrinkage Estimators for Reliability Function and Variance Properties, Journal of , Vol. 4 , No. 1 , (2023) : 26-28 (Doi   :  https://doi.org/10.54216/GJMSA.040104)