On Reliability Estimation of Stress-Strength (S-S)Modified Exponentiated Lomax Distribution


Bareq B. Selman,Alaa M. Hamad,Adel Abdulkadhim Hussein,




Modified Exponentiated Lomax Distribution,Stress-Strength (S-S),Shrinkage Estimation,Least Square,Maximum likelihood estimation,


This paper deals with estimation ofthe stress-strength reliability for modified exponentiated Lomax distribution the suggested approach biased on using different estimation methods such as, Maximum likelihood method, Moment method, Least square method and Shrinkage methods, numerical study via MATLAB software, has been done and comparison between the obtained results has been carried out according to mean square error, the results showed that the effectiveness of these estimators which evaluated using Monte-Carlo simulation study.


I. Abdul-Moniem, I. B. Recurrence relations for moments of lower generalized
order statistics from exponentiated Lomax distribution and its
characterization. Journal of Mathematical and Computational Science, 2(4),
999-1011 .2012.
II. Bander Al-zahrani. An extended Poisson –Lomax distribution. Journal
advances in mathematics,4(2), 79-89.2015.
III. El-Bassiouny, A. H., Abdo, N. F., &Shahen, H. S. Exponential Lomax
distribution. International Journal of Computer Applications, 121(13).2015.
IV. Fatima, K., Jan, U., & Ahmad, S. P. Statistical Properties of Rayleigh Lomax
distribution with applications in Survival Analysis. Journal of Data
Science, 16(3), 531-548.2018.
V. Kareem,A.Nabeel ,A. Comparison between five estimation methods for
reliability function of weighted Rayleigh distribution by using simulation.
Journal of mathematical theory and modeling,4(6), 123-137 .2014.
VI. Kundu, D., &Raqab, M. Z. Generalized Rayleigh distribution: different
methods of estimations. Computational statistics & data analysis, 49(1), 187-
200. 2005.

VII. Kundu, D., &Raqab, M. Z. Estimation of R= P (Y< X) for three-parameter
Weibull distribution. Statistics & Probability Letters, 79(17), 1839-1846.2009.
VIII. Oguntunde, P. E., Khaleel, M. A., Ahmed, M. T., Adejumo, A. O., &
Odetunmibi, O. A. A New Generalization of the Lomax Distribution with
Increasing, Decreasing, and Constant Failure Rate. Modelling and Simulation
in Engineering, 2017.
XI. Pathak, A., &Chaturvedi, A. Estimation of the reliability function for fourparameter
exponentiated generalized Lomax distribution. International Journal
of Scientific and Engineering Research, 5(1), 1171-1180.2013.
X. Pathak, A., &Chaturvedi, A. Estimation of the reliability function for twoparameter
exponentiated Rayleigh or Burr type X distribution. Statistics,
Optimization & Information Computing, 2(4), 305-322. 2014.
XI. Shams, T. M. The Kumaraswamy-generalized Lomax distribution. Middle-East
Journal of Scientific Research, 17(5), 641-646.2013.
XII. Salman,A.Eman,A. On the reliability estimation in multicomponent stressstrength
models different failure distribution. Master theses, university of
Baghdad, college of education Ibn-Haithem.2018.
XIII. Salman.A.N and Hamed.A.M. Estimating the shape parameter for the power
function distribution through shrinkage Technique International Journal of
Science and Research, 78-96.2017.
XIV. Zaka.A, Akhter.A.SandFarooq.N.Methods of Estimating the parameters of
power function distribution .Journal of statistics21 PP 90-102.2014.

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