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The three main points of this article are: 1. Quantum mechanical data differ from conventional data: for example, joint distributions usually cannot be defined conventionally; 2. rigorous methods have been developed for analyzing such data; the methods often use quantum-consistent analogs of classical statistical procedures; 3.
Malley, James D., Hornstein, John
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Geometric statistical inference [PDF]
Finite sample size corrections to the reparametrization-invariant solution of the inverse problem of probability are computed, and shown to converge uniformly to the correct distribution.
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Aspects about Statistical Inference [PDF]
There are two major types of data sources that can be used when a phenomenon or a variable is investigated: the population and the sample. Based upon the sample, various facts concerning the entire population can be deduced; this process is called ...
Georgeta Vintila +2 more
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Statistical eigen-inference from large Wishart matrices [PDF]
We consider settings where the observations are drawn from a zero-mean multivariate (real or complex) normal distribution with the population covariance matrix having eigenvalues of arbitrary multiplicity.
Edelman, Alan +3 more
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Statistical inference using SGD
We present a novel method for frequentist statistical inference in $M$-estimation problems, based on stochastic gradient descent (SGD) with a fixed step size: we demonstrate that the average of such SGD sequences can be used for statistical inference ...
Caramanis, Constantine +3 more
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An introduction to the maximum entropy approach and its application to inference problems in biology
A cornerstone of statistical inference, the maximum entropy framework is being increasingly applied to construct descriptive and predictive models of biological systems, especially complex biological networks, from large experimental data sets.
Andrea De Martino, Daniele De Martino
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Finite Dimensional Statistical Inference
In this paper, we derive the explicit series expansion of the eigenvalue distribution of various models, namely the case of non-central Wishart distributions, as well as correlated zero mean Wishart distributions.
Debbah, M. +3 more
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Simultaneous statistical inference for epigenetic data. [PDF]
Epigenetic research leads to complex data structures. Since parametric model assumptions for the distribution of epigenetic data are hard to verify we introduce in the present work a nonparametric statistical framework for two-group comparisons ...
Konstantin Schildknecht +2 more
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An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds [PDF]
Entropic Dynamics (ED) is a theoretical framework developed to investigate the possibility that laws of physics reflect laws of inference rather than laws of nature. In this work, a RED (Reversible Entropic Dynamics) model is considered.
Ali, S. A., Cafaro, Carlo, Giffin, Adom
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A review of distributed statistical inference
The rapid emergence of massive datasets in various fields poses a serious challenge to traditional statistical methods. Meanwhile, it provides opportunities for researchers to develop novel algorithms.
Yuan Gao +5 more
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