Results 141 to 150 of about 11,730 (186)
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
A Theory of Trace-Admissible Algebras. [PDF]
Proc Natl Acad Sci U S A, 1949 Albert AA.
europepmc +1 more source
A Contextual Accuracy Dominance Argument for Probabilism
Philosophy and Phenomenological Research, EarlyView.ABSTRACT A central motivation for Probabilism—the principle of rationality that requires one to have credences that satisfy the axioms of probability—is the accuracy dominance argument: one should not have accuracy dominated credences, and one avoids accuracy dominance just in case one satisfies Probabilism.
Mikayla Kelley
wiley +1 more source
THE NORM FORM OF A RATIONAL DIVISION ALGEBRA. [PDF]
Proc Natl Acad Sci U S A, 1957 Albert AA.
europepmc +1 more source
A Collapse Result in the Mereology of Properties
Ratio, EarlyView.ABSTRACT I examine five principles about the metaphysics of properties, each of which has been defended in the literature: (1) the sum of properties is their corresponding conjunctive property, (2) the mereology of properties is classical, (3) properties are individuated by necessary co‐instantiation, (4) sums of objects belonging to different ...
Alejandro G. Di Rienzo
wiley +1 more source
The Exceptional Simple Lie Algebras F(4) and E(6). [PDF]
Proc Natl Acad Sci U S A, 1950 Chevalley C, Schafer RD.
europepmc +1 more source
Spatial depth for data in metric spaces
Scandinavian Journal of Statistics, EarlyView.Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
On the Arithmetic in a Group Ring. [PDF]
Proc Natl Acad Sci U S A, 1944 Brauer R.
europepmc +1 more source
Elementary students' argumentative and explanatory mathematical writing about fractions
School Science and Mathematics, EarlyView.Abstract Mathematical writing (MW) is an important yet underutilized form of mathematics discourse. Given the lack of attention to MW, there are few resources to support the implementation and assessment of MW. This study responds to the lack of resources by describing a MW unit focused on fractions that was implemented during a summer school program ...
Madelyn W. Colonnese +2 more
wiley +1 more source