Compare the estimates of the reliability function and series system under Pareto distribution

Authors

  • P.h.d. Nazik J. Sadik Collage of administration and Economics / Statistics Department / Baghdad University Author
  • P.h.d. Husam A. Rasheed Collage of administration and Economics / Statistics Department / Mustansiriyah University Author
  • M.s.c. Aseel Abdul-Razzak Rasheed Collage of administration and Economics / Statistics Department / Mustansiriyah University Author

DOI:

https://doi.org/10.61841/mmpay038

Keywords:

Reliability function, Pareto distribution, Reliability series system, Simulation, matlap program

Abstract

The two-parameter Pareto distribution was used to find the reliability series system, with the reliability function found for him. By comparing the estimation of distribution parameters and reliability functions using the statistical scale (MAPE) and depending on the simulation method for MLE (maximum likelihood estimation) and non-parametric estimation (empirical) methods, it was found that the MSE statistic values for the non-parametric (empirical) method were lower than the MLE method, and this indicates the advantage of the empirical method. 

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References

1. Hossain, A.M., Zimmer, W.J.: Comparisons of methods of estimation for a Pareto distribution of the first kind. Commun. Statist. Theory. Meth. 29(4), 859–878 (2000).

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3. Pham, Hoang, "Reliability Modeling Analysis and Optimization," World Scientific, USA, (2004).

4. Quandt, R. E. Old and new methods of estimation and the Pareto distribution. Metrika, 10, 55-82 (1966).

5. Rausand, Marrin, "System Reliability Theory," Second Edition, John Wiley & Sons, Inc., (2004).

6. Wu, S.J.: Estimation for the two-parameter Pareto distribution under progressive censoring with uniform removals. J. Statist. Comput. Simulat. 3(2), 125–134 (2003).

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Published

31.12.2020

Issue

Vol. 24 No. 10 (2020): 24 (10) 2020

Section

Articles

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Copyright (c) 2020 AUTHOR

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How to Cite

J. Sadik, N., A. Rasheed, H., & Abdul-Razzak Rasheed, A. (2020). Compare the estimates of the reliability function and series system under Pareto distribution. International Journal of Psychosocial Rehabilitation, 24(10), 2393-2414. https://doi.org/10.61841/mmpay038