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Journal of Applied Sciences
  Year: 2014 | Volume: 14 | Issue: 21 | Page No.: 2854-2856
DOI: 10.3923/jas.2014.2854.2856
 
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Estimation of a System Performance in Pareto Distribution with Two Independent Random Variables

Medhat Ahmed El Damsesy, Mohammed Mohammed El Genidy and Ahmed Mohammed El Gazar

Abstract:
This study relied on applications of statistical methods used in the field of physics, specifically study the relationship between the strength and stress of a component in the mechanical system and so the performance of the mechanical system can be estimated. The study dealt with the estimation of the system performance R where R is equal to P[Y<X] and [X,Y] are independent random variables represent the strength of a component in the system and stress, respectively belonging to Pareto distributions with three parameters. The maximum likelihood was implemented to estimate the values of the parameters. On the other hand, simulation study was applied to investigate the measure of the system performance R and a numerical application was presented to illustrate the implementation of mathematical procedures, moreover the steps method used in this study enables the researchers to apply it in their fields.
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How to cite this article:

Medhat Ahmed El Damsesy, Mohammed Mohammed El Genidy and Ahmed Mohammed El Gazar, 2014. Estimation of a System Performance in Pareto Distribution with Two Independent Random Variables. Journal of Applied Sciences, 14: 2854-2856.

DOI: 10.3923/jas.2014.2854.2856

URL: https://scialert.net/abstract/?doi=jas.2014.2854.2856

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