Journal of Applied Probability

Assessing the reliability function of nanocomponents

Nader Ebrahimi

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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.

Article information

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

Dates
First available in Project Euclid: 15 March 2011

Permanent link to this document
https://projecteuclid.org/euclid.jap/1300198134

Digital Object Identifier
doi:10.1239/jap/1300198134

Mathematical Reviews number (MathSciNet)
MR2809885

Zentralblatt MATH identifier
1213.62160

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

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

Citation

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


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