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Asymptotic Theory for Clustered Samples [PDF]
We provide a complete asymptotic distribution theory for clustered data with a large number of independent groups, generalizing the classic laws of large numbers, uniform laws, central limit theory, and clustered covariance matrix estimation. Our theory allows for clustered observations with heterogeneous and unbounded cluster sizes.
Lee, Seojeong, Hansen, Bruce
core +8 more sources
Asymptotic Theory of Eigenvectors for Random Matrices with Diverging Spikes. [PDF]
Characterizing the asymptotic distributions of eigenvectors for large random matrices poses important challenges yet can provide useful insights into a range of statistical applications.
Fan J, Fan Y, Han X, Lv J.
europepmc +2 more sources
Asymptotic theory of rerandomization in treatment-control experiments. [PDF]
Significance Rerandomization refers to experimental designs that enforce covariate balance. This paper studies the asymptotic properties of the difference-in-means estimator under rerandomization, based on the randomness of the treatment assignment ...
Li X, Ding P, Rubin DB.
europepmc +3 more sources
Asymptotic Theory of Quantum Channel Estimation
The quantum Fisher information (QFI), as a function of quantum states, measures the amount of information that a quantum state carries about an unknown parameter.
Sisi Zhou, Liang Jiang
doaj +2 more sources
Asymptotic consensus of hybrid multi-agent systems considering network attacks [PDF]
This paper focuses on the problem of active defense and achieving asymptotic consensus control in hybrid multi-agent systems under network attacks. Considering the influence of Byzantine nodes, on the basis of the theory of mimic defense, a deep dynamic ...
Dongwei Wang, Ying Zhang
doaj +2 more sources
On Asymptotic Theory of Beams, Plates and Shells
Bases of asymptotic theory of beams, plates and shells are stated. The comparison with classic theory is conducted. New classes of thin bodies problems, for which hypotheses of classic theory are not applicable, are considered.
Aghalovyan L.A., Aghalovyan M.L.
doaj +2 more sources
An Asymptotically Safe Guide to Quantum Gravity and Matter [PDF]
Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet extension for the effective quantum field theory of gravity through an ...
Astrid Eichhorn
doaj +4 more sources
A Precise High-Dimensional Asymptotic Theory for Boosting and Minimum-L1-Norm Interpolated Classifiers [PDF]
This paper establishes a precise high-dimensional asymptotic theory for boosting on separable data, taking statistical and computational perspectives. We consider a high-dimensional setting where the number of features (weak learners) $p$ scales with the
Tengyuan Liang, P. Sur
semanticscholar +1 more source
The Föppl–von Kármán equations of elastic plates with initial stress
Initially, stressed plates are widely used in modern fabrication techniques, such as additive manufacturing and UV lithography, for their tunable morphology by application of external stimuli.
P. Ciarletta, G. Pozzi, D. Riccobelli
doaj +1 more source
Estimation of Stress-Strength Reliability for Multicomponent System with Rayleigh Data
Inference is investigated for a multicomponent stress-strength reliability (MSR) under Type-II censoring when the latent failure times follow two-parameter Rayleigh distribution. With a context that the lifetimes of the strength and stress variables have
Liang Wang +3 more
doaj +1 more source

