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Let ( ˆ n;  ˆn) denote the GaussNewton estimator of the parameter (; ) in the autoregression model Zij = Zi−1; j + Zi; j−1 − Zi−1; j−1 + ij. It is sho...
In [13] it was demonstrated that the Proper Forcing Axiom implies that there is a five element basis for the class of uncountable linear orders. The assumptions needed in the proof have consistency st...
We discuss frequent! properties of Ba~es rules, pa~ing special attention to consistency. Some new and fairly natural counterexamples are given, involving nonparametric estimates of location. E\ren...
ON THE UNIFORM CONSISTENCY OF BAYES ESTIMATES FOR MULTINOMIAL PROBABILITIES.
Performance characteristics of Bayes estimates are studied. More exactly, for each subject in a data set, let 5 be a vector of binary covariates and let Y be a normal response variable, with E{YIE...
Abstract: In the given paper we consider finite difference approximations to systems of polynomially-nonlinear partial differential equations whose coefficients are rational functions over rationals i...
In recent years, community structure has emerged as a key component of complex network analysis. As more data has been collected, researchers have begun investigating changing community structure acro...
In some real world applications, such as spectrometry, functional models achieve better predictive performances if they work on the derivatives of order m of their inputs rather than on the original...
Dimer models are introduced by string theorists (see e.g. [6, 7, 8, 11, 12, 13]) to study supersymmetric quiver gauge theories in four dimensions. A dimer model is a bicolored graph on a 2-torus which...
Recently the second author introduced combinatorial principles that characterize supercompactness for inaccessible cardinals but can also hold true for small cardinals. We prove that the proper forcin...
Connecting backtracking search with arc consistency is one of the most powerful techniques for solving distributed constraint satisfaction problems (DisCSPs) [11]. Recently, it has been considered tha...
We consider quasilinear, multi-variable, constant coefficient, lattice equations defined on the edges of the elementary square of the lattice, modeled after the lattice modified Boussinesq (lmBSQ) eq...
Recently quantum-like representation algorithm (QLRA) was intro-duced by A. Khrennikov [20]–[28] to solve the so-called “inverse Born’s rule problem”: to construct a representation of probabilistic da...
In [4] Tait identifies a set of reflection principles which he calls 􀀀(2)n -reflection principles which Peter Koellner has shown to be consistent relative to an Erd¨os cardinal (!) in [1].
A causal input-output system may be described by a function space for inputs, a function space for outputs, and a causal operator mapping the input space into the output space. A particular representa...

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