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Continuous-time MISO fractional system identification using higher-order-statistics
In this paper, the problem of identifying Multiple-Input-Single-Output (MISO) systems with fractional models from noisy input-output available data...
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Investigation of Statistics of Nearest Neighbor Graphs
AbstractThis paper describes some statistical properties of the nearest neighbor graphs (NNGs). We study the sample distributions of graphs by the...
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Less established tree shape statistics that are (im)balance indices
In this chapter, we consider nine tree shape statistics, namely the total internal path length, the total path length and its normalized version the...
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Universal eigenvalue statistics for dynamically defined matrices
We consider dynamically defined Hermitian matrices generated from orbits of the doubling map. We prove that their spectra fall into the GUE...
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Testing of Hypotheses and Identification
Identification became a quite popular topic in Information Theory. It is a very good example of interaction between Mathematical Statistics (Testing...
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Edge statistics for lozenge tilings of polygons, I: concentration of height function on strip domains
In this paper we study uniformly random lozenge tilings of strip domains. Under the assumption that the limiting arctic boundary has at most one...
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Synergy of Engineering and Statistics: Multimodal Data Fusion for Quality Improvement
This chapter outlines the synergies achieved through the fusion of engineering and statistical approaches for quality improvement. It emphasizes the...
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Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics
A framework to study the eigenvalue probability density function for products of unitary random matrices with an invariance property is developed....
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To Justice Through Statistics
Although statistics has come to play an important role in the administration of justice, whether it enlightens or obscures depends on the...
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Automatic Structure Identification of Semiparametric Spatial Autoregressive Model Based on Smooth-Threshold Estimating Equation
Issues concerning spatial dependence among cross-sectional units in econometrics have received more and more attention, while in statistical...
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Identification of the Household Behavior Modeling Based on Modified Ramsey Model
AbstractBased on a modified Ramsey model we present the consumer behavior of the households. The impact of the large amount of the households allows...
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Perturbed M-Estimation: A Further Investigation of Robust Statistics for Differential Privacy
Differential privacy (DP) provides an elegant mathematical framework for defining a provable disclosure risk in the presence of arbitrary...
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Sparse Deterministic and Stochastic Channels: Identification of Spreading Functions and Covariances
This chapter studies conditions and methods for identifying certain deterministic and stochastic dispersive time-varying single-input single-output...
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Risk Assessment and Identification Methodology for the Defense Industry in Times of Crisis: Decision-Making
Annually, different corporations within the defense industry must analyze their needs and decide whether to renew existing contracts or sign new...
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Probabilistic Models for Fracture Statistics
As a consequence of microstructural heterogeneities, fluctuations in the mechanical properties of materials are observed in experiments. This...
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Determination of a Representative Elementary Volume for Flow Characteristics of Heterogeneous Digital Cores Using Statistics
AbstractThis paper studies the effect of the pore space heterogeneity on the size of a representative elementary volume for two single-phase flow...
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Fourth-order cumulants based-least squares methods for fractional Multiple-Input-Single-Output Errors-In-Variables system identification
This paper presents new consistent methods for continuous-time Multiple-Input-Single-Output (MISO) Errors-In-Variables (EIV) systems by fractional...
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Statistical Issues in Assessing the Reliability of Eyewitness Identification
Among the 375+ wrongful convictions identified by the Innocence Project that were later overturned by DNA evidence resurrected from the crime scene,...
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Statistical Identification of Important Nodes in Biological Systems
Biological systems can be modeled and described by biological networks. Biological networks are typical complex networks with widely real-world...