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Ambulatory monitoring of cumulative free-living activity
IEEE Engineering in Medicine and Biology Magazine, 2003Discusses potential clinical applications of monitoring patients with chronic obstructive pulmonary disease (COPD). It is concluded that the ability to measure cumulative free-living activity in patients with COPD appears to have enormous potential clinical applicability.
Marilyn L, Moy +2 more
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New Cumulative Distributions for Scale-Free Networks
2016 IEEE First International Conference on Data Science in Cyberspace (DSC), 2016Exploring the topological structures of networks by mathematical methods is powerful and efficient in researching real networks. There are many successful mathematical methods shown in scale-free networks that are forming branches of mathematics and network science.
Xiaomin Wang +3 more
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The Free Central Limit Theorem and Free Cumulants
2017Recall from Chapter 1 that if \((\mathcal{A},\varphi )\) is a non-commutative probability space and \(\mathcal{A}_{1},\ldots,\mathcal{A}_{s}\) are subalgebras of \(\mathcal{A}\) which are free with respect to φ, then freeness gives us in principle a rule by which we can evaluate φ(a1a2⋯a k ) for any alternating word in random variables a1, a2, …, a k .
James A. Mingo, Roland Speicher
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Cumulative free replacement warranty with phase type lifetime distributions
Computers & Industrial Engineering, 2021Abstract This paper analyzes the stochastic process generated by unit failures, and the corresponding cash flows, for products with cumulative warranties where the seller offers warranty on the total useful life of a batch of units rather than the lifetimes of individual units.
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Cumulant expansion of the free energy: Application to free energy derivatives and component analysis
The Journal of Chemical Physics, 1996The free-energy change in a system represented by an empirical energy function, when calculated by thermodynamic integration from the initial to the final state, can be expressed as a sum of ‘‘free-energy components,’’ that correspond to contributions from different energy terms or different parts of the system. Although the overall free energy is path
G. Archontis, M. Karplus
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Optimal burn-in time under cumulative free replacement warranty
Reliability Engineering & System Safety, 2002Abstract In this paper, optimal burn-in time to minimize the total mean cost, which is the sum of manufacturing cost with burn-in and cumulative warranty-related cost, is studied. When the products with cumulative warranty have high failure rate in the early period (infant mortality period), burn-in procedure is considered to eliminate the early ...
Won Young Yun +2 more
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COMBINATORIAL RELATION BETWEEN FREE CUMULANTS AND JACOBI PARAMETERS
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2009We find a formula which expresses free and conditionally free cumulants in terms of Jacobi parameters. This leads to some necessary conditions for free and conditionally free infinite divisibility. We also express conditionally free cumulants of two measures in terms of their free cumulants.
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Characters of symmetric groups and free cumulants
2007We investigate Kerov’s formula expressing the normalized irreducible characters of symmetric groups evaluated on a cycle, in terms of the free cumulants of the associated Young diagrams.
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Infinitesimal non-crossing cumulants and free probability of type B
Journal of Functional Analysis, 2010Alexandru Nica
exaly
Do all pieces make a whole? Thiele cumulants and the free energy decomposition
Theoretical Chemistry Accounts, 2007Janez Mavri, Urban Bren, Jan Florian
exaly

