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On the estimation the reliability stress-strength model for the odd Fr\`{e}chet inverse exponential distribution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 39، دوره 13، شماره 1، خرداد 2022، صفحه 513-521 اصل مقاله (420.38 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5524 | ||
| نویسندگان | ||
| A. A. Eman* ؛ Abbas N. Salman | ||
| Department of Mathematics, Baghdad University, College of Education for Pure Sciences (Ibn Al--Haitham), Baghdad, Iraq | ||
| تاریخ دریافت: 28 اسفند 1399، تاریخ بازنگری: 04 اردیبهشت 1400، تاریخ پذیرش: 25 اردیبهشت 1400 | ||
| چکیده | ||
| The maximum likelihood estimator employs in this paper to shrinkage estimation procedure for an estimate the system reliability $R$ in the stress-strength model, when the stress and strength are independent and non-identically random variables and they follows the odd Fr\`{e}chet inverse exponential distribution (OFIED). Comparisons among the proposed estimators were presented depend on simulation established on mean squared error (MSE) criteria. | ||
| کلیدواژه‌ها | ||
| odd Frechet inverse exponential distribution؛ Reliability Stress--Strength model؛ Maximum likelihood estimator؛ Shrinkage estimator؛ Single Stage Shrunken estimator؛ mean squared | ||
| مراجع | ||
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[1] N.S. Abbas and R.A. Hadi,Preliminary test single stage shrinkage estimator for the shape parameters of generalized exponential distribution, Int. J. Appl. Math. Res. 5 (2016) 162–166. [2] N.S. Abbas and T.A. Taha, On reliability estimation for the exponential distribution based on Monte Carlo simulation, Baghdad University College of Education Ibn-AL-Haitham, (2018) 409–419. [3] N. Abbas and M. H. Alaa, On estimation of the stress -strength reliability based on lomax distribution, IOP Conf. Series: Materials Science and Engineering, 2019. [4] M. Elgarhy and S. Alrajhi, The odd Frechet inverse Rayleigh distribution: statistical properties and applications, J. Nonlinear Sci. Appl. 12 (2019) 291–299. [5] M. Haq and M. Elgarhy, The odd Fr`echet G-family of probability distributions, Stat. Appl. Prob. 7 (2018) 185–201. [6] R.A. ZeinEldin, M. Ahsan ul Haq, Sh. Hashmi, M. Elsehety and M. Elgarhy, Statistical inference of odd Fr`echet inverse Lomax distribution with applications, Complexity 2020 (2020) 1–20. [7] R.Y. Rubinstein and D.P. Kroese, Simulation and the Monte Carlo method, John Wiley and Sons, Inc., Hoboken, New Jersey, 1981. [8] N.S. Salman and A.A. Eman, On shrinkage estimation for r(s, k) in case of exponentiated pareto distribution, Ibn Al-Haitham J. Pure Appl. Sci. 32 (2019) 152–162. [9] N.S. Salman, I.H. Farhan, M.M. Ameen and A.A. Hussein, On estimating the survival function for the patients suffer from the lung cancer disease, Ibn Al-Haitham J. Pure Applied Sci. 2017(Special Issue) (2017) 392–403. [10] A. Sharifah, The odd Fre`chet inverse exponential distribution with application, J. Nonlinear Sci. Appl. 12 (2019) 535–542. [11] J. R. Thompson, Some shrinkage techniques for estimating the mean, J. Amer. Statist. Assoc. 63 (1968) 113–122. | ||
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