Results 31 to 40 of about 5,027 (259)
Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]
Demonstratio Mathematica, 2021 Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant Borel probability measure associated with their iterated function systems.
Byars Allison +5 more
doaj +1 more source
On the sum of two Borel sets [PDF]
Proceedings of the American Mathematical Society, 1970 It is shown that the linear sum of two Borel subsets of the real line need not be Borel, even if one of them is compact and the other is \(G_\delta\). This result is extended to a fairly wide class of connected topological groups.
Erdős, Pál, Stone, A. H.
openaire +2 more sources
Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$ [PDF]
Logical Methods in Computer Science, 2014 By the Riesz representation theorem using the Riemann-Stieltjes integral, linear continuous functionals on the set of continuous functions from the unit interval into the reals can either be characterized by functions of bounded variation from the unit ...
Klaus Weihrauch, Tahereh Jafarikhah
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AxiomsWe obtain a new extended description of the exceptional set in the asymptotic Borel-type relation in terms of the maximum of the integrand function for the Laplace–Stieltjes integrals.
Oleh Skaskiv +3 more
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Complexity of finite Borel asymptotic dimension
Forum of Mathematics, SigmaWe show that the set of locally finite Borel graphs with finite Borel asymptotic dimension is $\boldsymbol {\Sigma }^1_2$ -complete. The result is based on a combinatorial characterization of finite Borel asymptotic dimension for graphs generated ...
Jan Grebík, Cecelia Higgins
doaj +1 more source
Partial identification with categorical data and nonignorable missing outcomes
Canadian Journal of Statistics, EarlyView.Abstract Nonignorable missing outcomes are common in real‐world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may wish to forgo them in favour of partially identified models that narrow the set of a priori possible values to an identification region.
Daniel Daly‐Grafstein, Paul Gustafson
wiley +1 more source
Open Mathematics, 2015 The paper presents a new type of density topology on the real line generated by the pointwise convergence, similarly to the classical density topology which is generated by the convergence in measure.
Górajska Magdalena
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Bayesian inverse ensemble forecasting for COVID‐19
Canadian Journal of Statistics, EarlyView.Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
wiley +1 more source
Normal numbers and the Borel hierarchy [PDF]
, 2014 We show that the set of absolutely normal numbers is Π03-complete in the Borel hierarchy of subsets of real numbers.
Theodore A. Slaman +5 more
core +1 more source
Doubly stochastic right multipliers
International Journal of Mathematics and Mathematical Sciences, 1984 Let P(G) be the set of normalized regular Borel measures on a compact group G. Let Dr be the set of doubly stochastic (d.s.) measures λ on G×G such that λ(As×Bs)=λ(A×B), where s∈G, and A and B are Borel subsets of G. We show that there exists a bijection
Choo-Whan Kim
doaj +1 more source