September 2011 An integrated probabilistic model for assessing a nanocomponent's reliability
Nader Ebrahimi, Yarong Yang
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J. Appl. Probab. 48(3): 832-842 (September 2011). DOI: 10.1239/jap/1316796918

Abstract

We construct an integrated probabilistic model to capture interactions between atoms of a nanocomponent. We then use this model to assess reliabilities of nanocomponents with different structures. Several properties of our proposed model are also described under a sparseness condition. The model is an extension of our previous model based on Markovian random field theory. The proposed integrated model is flexible in that pairwise relationship information among atoms as well as features of individual atoms can be easily incorporated. An important feature that distinguishes the integrated probabilistic model from our previous model is that the integrated approach uses all available sources of information with different weights for different types of interaction. In this paper we consider the nanocomponent at a fixed moment of time, say the present moment, and we assume that the present state of the nanocomponent depends only on the present states of its atoms.

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Nader Ebrahimi. Yarong Yang. "An integrated probabilistic model for assessing a nanocomponent's reliability." J. Appl. Probab. 48 (3) 832 - 842, September 2011. https://doi.org/10.1239/jap/1316796918

Information

Published: September 2011
First available in Project Euclid: 23 September 2011

zbMATH: 1241.62142
MathSciNet: MR2884819
Digital Object Identifier: 10.1239/jap/1316796918

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

Keywords: Associated random variable , Conditionally increasing in sequence , Gibbs distribution , Gibbs sampling , Markov random field , reliability

Rights: Copyright © 2011 Applied Probability Trust

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Vol.48 • No. 3 • September 2011
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