Multivariate Modeling of Some Datasets in Continuous Space and Discrete Time [PDF]
Multivariate space–time datasets are often collected at discrete, regularly monitored time intervals and are typically treated as components of time series in environmental science and other applied fields.
Rigele Te, Juan Du
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Equivalence of measures and asymptotically optimal linear prediction for Gaussian random fields with fractional-order covariance operators [PDF]
We consider Gaussian measures $\mu, \tilde{\mu}$ on a separable Hilbert space, with fractional-order covariance operators $A^{-2\beta}$ resp. $\tilde{A}^{-2\tilde{\beta}}$, and derive necessary and sufficient conditions on $A, \tilde{A}$ and $\beta ...
Kirchner, Kristin, Bolin, David
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Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces [PDF]
Optimal linear prediction (aka. kriging) of a random field $\{Z(x)\}_{x\in\mathcal{X}}$ indexed by a compact metric space $(\mathcal{X},d_{\mathcal{X}})$ can be obtained if the mean value function $m\colon\mathcal{X}\to\mathbb{R}$ and the covariance ...
Kirchner, Kristin +4 more
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Stochastic comparison for elliptically contoured random fields [PDF]
Click on the DOI to access this article (may not be free).This paper presents necessary and sufficient conditions for the peakedness comparison and convex ordering between two elliptically contoured random fields about their centers.
Lu, Tianshi, Du, Juan, Ma, Chunsheng
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Scalable Network Coding for Heterogeneous Devices over Embedded Fields [PDF]
In complex network environments, there always exist heterogeneous devices with different computational powers. In this work, we propose a novel scalable random linear network coding (RLNC) framework based on embedded fields, so as to endow heterogeneous ...
Zongpeng Li +9 more
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Information Theory for Agents in Artificial Intelligence, Psychology, and Economics
This review looks at some of the central relationships between artificial intelligence, psychology, and economics through the lens of information theory, specifically focusing on formal models of decision-theory.
Michael S. Harré
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Confidence intervals: Concepts, fallacies, criticisms, solutions and beyond [PDF]
For a long time, confidence interval theory is the basis of statistics, and confidence interval has been regarded as an important content of statistical analysis.
WenJun Zhang
doaj
ICT TECHNIQUES IN HIGHER EDUCATION: AZERBAIJAN EXPERIENCE IN PANDEMIC [PDF]
The purpose of the article is to study the use of ICT techniques in Azerbaijan higher education. The objectives of the study are: 1) to substantiate the role of ICT sector in the Azerbaijan national economy, 2) to study the use of ICT sector tools in ...
Abasova Samira Huseyn qizi
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Thick points for Gaussian free fields with different cut-offs [PDF]
Massive and massless Gaussian free fields can be described as generalized Gaussian processes indexed by an appropriate space of functions. In this article we study various approaches to approximate these fields and look at the fractal properties of the ...
Rajat Subhra Hazra +3 more
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Some limit behavior for linear combinations of order statistics [PDF]
summary:In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the $k$-th order statistics from uniform distribution, Gini mean ...
Ma, Mengyao, Miao, Yu
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