Results 1 to 10 of about 2,682 (265)
On regularity conditions for random fields [PDF]
Indexed by the integer lattice of dimension at least two, there exists a nondegenerate strictly stationary random field which is one-dependent with respect to "lattice-halfspaces" but which is also measurable with respect to its own tail sigma-field.
Richard C. Bradley
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Let $\mathbb{K}$ be an uncountable field of characteristic zero and let $f$ be a function from $\mathbb{K}^n$ to $\mathbb{K}$. We show that if the restriction of $f$ to every affine plane $L\subset\mathbb{K}^n$ is regular, then $f$ is a regular function.
Beata Gryszka, Janusz Gwozdziewicz
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MLE with datasets from populations having shared parameters
We consider maximum likelihood estimation with two or more datasets sampled from different populations with shared parameters. Although more datasets with shared parameters can increase statistical accuracy, this paper shows how to handle heterogeneity ...
Jun Shao, Xinyan Wang
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Regularity Conditions for Iterated Shuffle on Commutative Regular Languages [PDF]
We introduce the class [Formula: see text] of commutative regular languages that is a positive variety closed under binary shuffle and iterated shuffle (also called shuffle closure). This class arises out of the known positive variety [Formula: see text] by superalphabet closure, an operation on positive varieties we introduce and describe in the ...
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A Simple Test for Causality in Volatility
An early development in testing for causality (technically, Granger non-causality) in the conditional variance (or volatility) associated with financial returns was the portmanteau statistic for non-causality in the variance of Cheng and Ng (1996).
Chia-Lin Chang, Michael McAleer
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Higher Regularity, Inverse and Polyadic Semigroups
We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several
Steven Duplij
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Regular Operator Equations: Conditions for Regularity [PDF]
Regular operator equations are causal equations admitting unique solutions and have the property that all of their limiting equations along solutions admit unique solutions. Sufficient conditions which guarantee that an operator equation
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Left (Right) Regular and Transposition Regular Semigroups and Their Structures
Regular semigroups and their structures are the most wonderful part of semigroup theory, and the contents are very rich. In order to explore more regular semigroups, this paper extends the relevant classical conclusions from a new perspective: by ...
Xiaohong Zhang, Yudan Du
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Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced.
Do Sang Kim, Hyo Jung Lee
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Theoretical and Empirical Differences between Diagonal and Full BEKK for Risk Management
The purpose of the paper is to explore the relative biases in the estimation of the Full BEKK model as compared with the Diagonal BEKK model, which is used as a theoretical and empirical benchmark.
David E. Allen, Michael McAleer
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