March 2011 Assessing the reliability function of nanocomponents
Nader Ebrahimi
Author Affiliations +
J. Appl. Probab. 48(1): 31-42 (March 2011). DOI: 10.1239/jap/1300198134

Abstract

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.

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Nader Ebrahimi. "Assessing the reliability function of nanocomponents." J. Appl. Probab. 48 (1) 31 - 42, March 2011. https://doi.org/10.1239/jap/1300198134

Information

Published: March 2011
First available in Project Euclid: 15 March 2011

zbMATH: 1213.62160
MathSciNet: MR2809885
Digital Object Identifier: 10.1239/jap/1300198134

Subjects:
Primary: 60N05
Secondary: 60G55 , 90B25

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

Rights: Copyright © 2011 Applied Probability Trust

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Vol.48 • No. 1 • March 2011
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