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2012 Statistical inference for disordered sphere packings
Jeffrey Picka
Statist. Surv. 6: 74-112 (2012). DOI: 10.1214/09-SS058


This paper gives an overview of statistical inference for disordered sphere packing processes. These processes are used extensively in physics and engineering in order to represent the internal structure of composite materials, packed bed reactors, and powders at rest, and are used as initial arrangements of grains in the study of avalanches and other problems involving powders in motion. Packing processes are spatial processes which are neither stationary nor ergodic. Classical spatial statistical models and procedures cannot be applied to these processes, but alternative models and procedures can be developed based on ideas from statistical physics.

Most of the development of models and statistics for sphere packings has been undertaken by scientists and engineers. This review summarizes their results from an inferential perspective.


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Jeffrey Picka. "Statistical inference for disordered sphere packings." Statist. Surv. 6 74 - 112, 2012.


Published: 2012
First available in Project Euclid: 19 July 2012

zbMATH: 1302.62205
MathSciNet: MR3011072
Digital Object Identifier: 10.1214/09-SS058

Rights: Copyright © 2012 The author, under a Creative Commons Attribution License


Vol.6 • 2012
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