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An innovative fuzzy Revan index with CRITIC integration in multi-criterion decision-making. [PDF]
Yaqoot I, Mufti ZS, Ganati GA.
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From Enhanced Sampling to Human-Readable Representations of Protein Dynamics. [PDF]
Mondal S, Sauer MA, Heyden M.
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High-Pressure Density Measurements and Modeling of Hydrocarbons: 1-Hexene, 2, 4-Dimethylhexane, 2,2,4-Trimethylpentane, and <i>n</i>-Heptane. [PDF]
Alt D +4 more
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Study on the formation of micro-scale shaped charge jet based on diameter effect. [PDF]
Li D, Huang Z, Xiao Q, Jia X, Chen Y.
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Large deviation theory and the dynamics of a bacterium
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Introduction to Large Deviation Theory
This chapter provides an introduction to large deviation theory. It begins with an overview of the motivatio n for the problem under study, focusing on probability distributions and how to construct an empirical distribution. It then considers the notion of a lower semi-continuous function and that of a lower semi-continuous relaxation before ...
M. Vidyasagar
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Springer Series in Statistics, 2004
We will find that many of the rare events that we wish to simulate are the result of the occurrence of a large deviation event. In order to develop good simulation strategies for these events, we need to understand something of the probability theory associated with them.
James Antonio Bucklew
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We will find that many of the rare events that we wish to simulate are the result of the occurrence of a large deviation event. In order to develop good simulation strategies for these events, we need to understand something of the probability theory associated with them.
James Antonio Bucklew
exaly +2 more sources
Asymptotic Theory of Large Deviations for Markov Chains
SIAM Journal on Applied Mathematics, 1998Let \(p_n(x,y)\) denote the density function of a real-valued stationary ergodic Markov chain \(X_n\) and its sample averages \(Y_n:={1\over n}\sum_{k=1}^n X_k\), i.e., \(p_n(x,y) dx dy=P(X_n\in dx, Y_n\in dy)\). This paper deals with the formal asymptotic expansion \[ p_n(x,y)=e^{-n\psi(n)}\sqrt{n} \Big[q^0(x,y)+ {q^1(x,y)\over n}+{q^2(x,y)\over n^2}+\
Gilad Lerman, Zeev Schuss
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