Results 31 to 40 of about 3,413,020 (302)

Sparse deterministic approximation of Bayesian inverse problems [PDF]

open access: yes, 2011
We present a parametric deterministic formulation of Bayesian inverse problems with an input parameter from infinite-dimensional, separable Banach spaces.
A M Stuart   +5 more
core   +1 more source

Approximation theorems for Kantorovich type Lupaș-Stancu operators based on \(q\)-integers

open access: yesJournal of Numerical Analysis and Approximation Theory, 2017
In this paper, we introduce a Kantorovich generalization of q-Stancu-Lupa¸s operators and investigate their approximation properties. The rate of convergence of these operators are obtained by means of modulus of continuity, functions of Lipschitz class
Sevilay Kirci Serenbay   +1 more
doaj   +2 more sources

On generalized Baskakov-Durrmeyer-Stancu type operators

open access: yesDemonstratio Mathematica, 2017
In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish   +2 more
doaj   +1 more source

Towards Intelligent Modeling: Statistical Approximation Theory

open access: yes, 2011
The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory ...
Duman, Oktay   +4 more
core   +1 more source

Approximation Properties and q-Statistical Convergence of Stancu-Type Generalized Baskakov-Szász Operators

open access: yesJournal of Function Spaces, 2022
In this article, we introduce Stancu-type modification of generalized Baskakov-Szász operators. We obtain recurrence relations to calculate moments for these new operators.
Qing-Bo Cai   +2 more
doaj   +1 more source

Saddlepoint Approximations in Statistics

open access: yesThe Annals of Mathematical Statistics, 1954
It is often required to approximate to the distribution of some statistic whose exact distribution cannot be conveniently obtained. When the first few moments are known, a common procedure is to fit a law of the Pearson or Edgeworth type having the same moments as far as they are given.
openaire   +2 more sources

On weak approximations of -statistics

open access: yesStatistics & Probability Letters, 2009
This paper investigates weak convergence of U-statistics via approximation in probability. The classical condition that the second moment of the kernel of the underlying U-statistic exists is relaxed to having 4/3 moments only (modulo a logarithmic term).
openaire   +2 more sources

Statistical approximation properties of λ-Bernstein operators based on q-integers

open access: yesOpen Mathematics, 2019
In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
doaj   +1 more source

Statistical weighted A-summability with application to Korovkin’s type approximation theorem

open access: yesJournal of Inequalities and Applications, 2016
We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be ...
Syed Abdul Mohiuddine
doaj   +1 more source

Bayesian inference of biochemical kinetic parameters using the linear noise approximation [PDF]

open access: yes, 2009
Background Fluorescent and luminescent gene reporters allow us to dynamically quantify changes in molecular species concentration over time on the single cell level.
David A Rand   +14 more
core   +1 more source

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