Estimation the Shape Parameter of (S-S) Reliability of Kumaraswamy Distribution


A. S. Mohammed,Alaa M. Hamad,Abbas Najim Salman,



Reliability,Stress-Strength (S-S),Kumaraswamy distribution,Maximum likelihood estimator,Moment estimator and Shrinkage estimator,


In this paper dealt with estimating the reliability in the (S-S) stress-strength of Kumaraswamy function distribution using different estimation methods, Maximum likelihood, Moment method, Shrinkage method depend on to Monte Carlo simulation Comparisons between estimation methods have been using mean square error criteria.


I. A. N. Salman, T.A. Taha, On Reliability Estimation for the Exponential
Distribution Based on Monte Carlo Simulation, Ibn Al-Haitham Journal for
Pure and Applied science, 10.30526/2017, P.P.(409-419).
II. Dreamlee Sharma, Tapan Kumar Chakrabarty, On Size Biased
Kumaraswamy Distribution, Statistics, Optimization, and Information
Computing, Vol 4, Sep 2016, pp 252-264
III. Kumaraswamy, P. A Generalized probability density function fordoublebounded
random processes. Journal of Hydrology 1980,46(1), 79-88.
IV. Mostafa Mohie Eldin1, Nora Khalil2, Montaser Amein, Estimation of
parameters of the Kumaraswamy distribution based on general progressive type II censoring, American Journal of Theoretical and Applied Statistics,
2014; 3(6): 217-222.
V. Mohamed A. Hussian, Estimation of P[Y<X] for the class of Kumaraswamy-
G distributions, Australian Journal of Basic and Applied Sciences, 7(11) Sept
2013, Pages: 158-169.
VI. Muna Shaker Salman, Comparing Different Estimators of two Parameters
Kumaraswamy distribution, Journal of Babylon University/Pure and Applied
Science/ no.(2)/vol.(25):2017,395-402.
VII. Weerahandi, S., and Johnson, R.A.: Testing reliability in a stress-strength
model when X and Y are normally distributed. Technometrics, 1992; 38: 83–

View Download