Results 101 to 110 of about 18,831 (324)
Asymptotic properties of cross‐classified sampling designs
Canadian Journal of Statistics, EarlyView.Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
wiley +1 more source
Quaternionic Bundles on Algebraic Spheres
Rocky Mountain Journal of Mathematics, 1996 It has remained an open question for many years whether there is a bijection between algebraic and topological vector bundles on spheres. If one denotes by \(\mathbb{F}\) one of the (skew) fields \(\mathbb{R}\), \(\mathbb{C}\) or \(\mathbb{H}\) and by \(A_n\) the coordinate ring \(\mathbb{R}[x_0,\dots,x_n]/(\sum x^2_1-1)\) of the sphere, then the more ...
openaire +2 more sources
On ideals in a quaternion algebra and the representation of integers by Hermitian forms [PDF]
, 1936 Claiborne G. Latimer
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A Markov approach to credit rating migration conditional on economic states
Canadian Journal of Statistics, EarlyView.Abstract We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time‐homogeneous Markov chain. While the rating process itself possesses the Markov property only under restrictive conditions, methods ...
Michael Kalkbrener, Natalie Packham
wiley +1 more source
Hermitian forms over quaternion algebras [PDF]
, 2014 Nikita A. Karpenko, Alexander Merkurjev
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra [PDF]
, 2007 S. V. Lüdkovsky
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Corporate Social Responsibility and Environmental Management, EarlyView.ABSTRACT Sustainability‐oriented collaborations are inter‐organisational arrangements where the competencies of multiple companies are pooled together to tackle environmental challenges. These collaborations differ from traditional strategic alliances in that they tackle complex goals amidst greater uncertainties that extend beyond economic performance,
Vittorio Maria Garibbo +3 more
wiley +1 more source
ComputersIn this paper, we describe the associative and commutative algebra or the (2,2)-model of quaternions with application in color image enhancement. The method of alpha-rooting, which is based on the 2D quaternion discrete Fourier transform (QDFT) is ...
Artyom M. Grigoryan, Alexis A. Gomez
doaj +1 more source
Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley +1 more source