Journal of Applied Probability

Assessing the reliability function of nanocomponents

Nader Ebrahimi

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A nanocomponent is a collection of atoms arranged to a specific design in order to achieve a desired function with an acceptable performance and reliability. The type of atoms, the manner in which they are arranged within the nanocomponent, and their interrelationship have a direct effect on the nanocomponent's reliability (survival) function. In this paper we propose models based on the notion of a copula that are used to describe the relationship between the atoms of a nanocomponent. Having defined these models, we go on to construct a `nanocomponent' model in order to obtain the reliability function of a nanocomponent.

Article information

J. Appl. Probab., Volume 48, Number 1 (2011), 31-42.

First available in Project Euclid: 15 March 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60N05
Secondary: 60G55: Point processes 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05]

Copula function Farlie-Gumbel-Morgenstern copula Gaussian copula isotropic covariance function Markov random field multivariate hazard gradient reliability function survival function


Ebrahimi, Nader. Assessing the reliability function of nanocomponents. J. Appl. Probab. 48 (2011), no. 1, 31--42. doi:10.1239/jap/1300198134.

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