Results 21 to 30 of about 51,902 (192)

Stability under integration of sums of products of real globally subanalytic functions and their logarithms

open access: yes, 2009
We study Lebesgue integration of sums of products of globally subanalytic functions and their logarithms, called constructible functions. Our first theorem states that the class of constructible functions is stable under integration.
Cluckers, Raf, Miller, Daniel J.
core   +1 more source

Integrals of Lebesgue [PDF]

open access: yesBulletin of the American Mathematical Society, 1917
Extracted from American mathematical society. Bulletin, v. 24, no. 1, Oct. 1917. ; Cover title. ; "References": p. 47. ; Mode of access: Internet. ; Bound with this is Hildebrandt, T. H., On integrals related to & extensions of the Lebesgue integrals . 1918.
openaire   +2 more sources

Differentiation Theory over Infinite-Dimensional Banach Spaces

open access: yesJournal of Mathematics, 2016
We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded real sequences xnn∈I and a measure over RI,B(I) that generalizes the k-dimensional Lebesgue one.
Claudio Asci
doaj   +1 more source

On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces [PDF]

open access: yesComputer Science Journal of Moldova, 2000
We investigate in this paper problems of theoretical foundation of collocations and mechanical quadratures methods for approximate solution of singular integral equation systems in the case, when their symbols have on the integration contour a finite set
T. Cibotaru
doaj  

Integrable Functions Versus a Generalization of Lebesgue Points in Locally Compact Groups [PDF]

open access: yes, 2013
The author is thankful to the referee for his valuable comments and suggestions that led to an improvement of the paper. He also owes to Prof. M. N. Mukherjee of the Deptt.
Basu, Sanji
core  

Integration theory for infinite dimensional volatility modulated Volterra processes

open access: yes, 2016
We treat a stochastic integration theory for a class of Hilbert-valued, volatility-modulated, conditionally Gaussian Volterra processes. We apply techniques from Malliavin calculus to define this stochastic integration as a sum of a Skorohod integral ...
Benth, Fred Espen, Süß, André
core   +1 more source

Bayesian inverse ensemble forecasting for COVID‐19

open access: yesCanadian 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

Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation

open access: yesInternational Journal of Differential Equations, 2019
In this work, we consider an initial value problem of a nonhomogeneous retarded functional equation coupled with the impulsive term. The fundamental matrix theorem is employed to derive the integral equivalent of the equation which is Lebesgue integrable.
D. K. Igobi, U. Abasiekwere
doaj   +1 more source

A goodness‐of‐fit test for regression models with discrete outcomes

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang   +2 more
wiley   +1 more source

Non‐negative Gaussian estimation of variance components in random effects models

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract When used to estimate variance components (VCs), confidence intervals (CIs) can be truncated at zero, have a point estimate not in the quoted CI, be empty with positive probability, or be all‐inclusive. This is because they have conflicting dual roles, since they are considered to cover the parameter with a specified probability while also ...
André Plante, Michael Plante
wiley   +1 more source

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