Výsledky vyhledávání - Statistical Convergence in Approximation Theory and Functional Analysis
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Statistical Convergence with Respect to Power Series Methods and Applications to Approximation Theory
ISSN: 0163-0563, 1532-2467Vydáno: Abingdon Taylor & Francis 04.04.2019Vydáno v Numerical functional analysis and optimization (04.04.2019)“… As an application we give a Korovkin type approximation theorem by using P p -statistical convergence and also present an example to illustrate that P p -statistical…”
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Approximation Theory and Related Applications
ISBN: 9783036562315, 303656232X, 3036562311, 9783036562322Vydáno: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023“… Approximation theory has broad and important applications in many areas of mathematics, including functional analysis, differential equations, dynamical systems theory, mathematical physics, control…”
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Approximation properties and error estimation of q-Bernstein shifted operators
ISSN: 1017-1398, 1572-9265Vydáno: New York Springer US 01.05.2020Vydáno v Numerical algorithms (01.05.2020)“… First, some basic results for convergence of the introduced operators are established and then the rate of convergence by these operators in terms of the modulus of continuity are obtained…”
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Weak convergence of the conditional U-statistics for locally stationary functional time series
ISSN: 1387-0874, 1572-9311Vydáno: Dordrecht Springer Netherlands 01.07.2024Vydáno v Statistical inference for stochastic processes : an international journal devoted to time series analysis and the statistics of continuous time processes and dynamic systems (01.07.2024)“…: it is often unclear how to set down a meaningful asymptotic for non-stationary processes. For this reason, the theory of locally stationary processes arose, and it is based on infill asymptotics created from non-parametric statistics…”
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Functional Principal Component Analysis of Spatiotemporal Point Processes With Applications in Disease Surveillance
ISSN: 0162-1459, 1537-274X, 1537-274XVydáno: Alexandria Taylor & Francis 03.07.2014Vydáno v Journal of the American Statistical Association (03.07.2014)“… We model the latent spatiotemporal process as spatially correlated functional data, and propose Poisson maximum likelihood and composite likelihood methods based on spline approximations to estimate…”
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Varying coefficient partially functional linear regression models
ISSN: 0932-5026, 1613-9798Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016Vydáno v Statistical papers (Berlin, Germany) (01.09.2016)“… Under some regular conditions, we obtain asymptotic properties of functional parameter estimators, including the global convergence rates and uniform convergence rates…”
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Approximation properties of the generalized Szasz operators by multiple Appell polynomials via power summability method
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Wiley Subscription Services, Inc 30.03.2020Vydáno v Mathematical methods in the applied sciences (30.03.2020)“… In the third section, we have proved some results related to the statistical convergence of the generalized Szasz operators by multiple Appell polynomials, using into consideration the A− transformation…”
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Normal approximation of the solution to the stochastic heat equation with Lévy noise
ISSN: 2194-0401, 2194-041XVydáno: New York Springer US 01.06.2020Vydáno v Stochastic partial differential equations : analysis and computations (01.06.2020)“…Given a sequence L ˙ ε of Lévy noises, we derive necessary and sufficient conditions in terms of their variances σ 2 ( ε ) such that the solution to the…”
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Four-dimensional matrix transformation and rate of A -statistical convergence of periodic functions
ISSN: 0895-7177, 1872-9479Vydáno: Kidlington Elsevier Ltd 01.11.2010Vydáno v Mathematical and computer modelling (01.11.2010)“…In this paper, using the concept of A -statistical convergence for double real sequences, we obtain a Korovkin type-approximation theorem for double sequences of positive linear operators defined on the space of all 2 π…”
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Joint Discrete Universality in the Selberg–Steuding Class
ISSN: 2075-1680, 2075-1680Vydáno: Basel MDPI AG 01.07.2023Vydáno v Axioms (01.07.2023)“…In the paper, we consider the approximation of analytic functions by shifts from the wide class S˜ of L-functions…”
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Asymptotic Analysis of Sample-Averaged Q-Learning
ISSN: 0018-9448, 1557-9654Vydáno: IEEE 01.07.2025Vydáno v IEEE transactions on information theory (01.07.2025)“… Incorporating statistical inference in RL algorithms is essential for understanding and managing uncertainty in model performance…”
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An Online Sample-Based Method for Mode Estimation Using ODE Analysis of Stochastic Approximation Algorithms
ISSN: 2475-1456, 2475-1456Vydáno: IEEE 01.07.2019Vydáno v IEEE control systems letters (01.07.2019)“…One of the popular measures of central tendency that provides better representation and interesting insights of the data compared to the other measures like…”
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Functional Linear Partial Quantile Regression with Guaranteed Convergence for Neuroimaging Data Analysis
ISSN: 1867-1764, 1867-1772Vydáno: New York Springer US 01.04.2025Vydáno v Statistics in biosciences (01.04.2025)“…Functional data such as curves and surfaces have become more and more common with modern technological advancements…”
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Functional Principal Component Regression and Functional Partial Least Squares
ISSN: 0162-1459, 1537-274XVydáno: Alexandria, VA Taylor & Francis 01.09.2007Vydáno v Journal of the American Statistical Association (01.09.2007)“… This article introduces functional versions of PCR and PLS, which combine both of the foregoing dimension-reduction approaches…”
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Analytic and Asymptotic Properties of the Generalized Student and Generalized Lomax Distributions
ISSN: 2227-7390, 2227-7390Vydáno: Basel MDPI AG 01.07.2023Vydáno v Mathematics (Basel) (01.07.2023)“… of the laws that appear as limit distributions in classical limit theorems of probability theory, such as the normal, folded normal, exponential, Weibull, and Fréchet distributions…”
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Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws
ISSN: 2227-7390, 2227-7390Vydáno: Basel MDPI AG 01.12.2022Vydáno v Mathematics (Basel) (01.12.2022)“…The convergence rate in the famous Rényi theorem is studied by means of the Stein method refinement…”
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Adaptive inference for the mean of a Gaussian process in functional data
ISSN: 1369-7412, 1467-9868Vydáno: Oxford, UK Blackwell Publishing Ltd 01.09.2011Vydáno v Journal of the Royal Statistical Society. Series B, Statistical methodology (01.09.2011)“… These results are obtained via novel oracle inequalities, which are further used to derive the rates of convergence of our mean estimates…”
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Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach
ISSN: 0012-9682, 1468-0262Vydáno: Oxford, UK and Boston, USA Blackwell Publishers Ltd 01.01.2002Vydáno v Econometrica (01.01.2002)“…) likelihood function. I document that the approximation is very accurate and prove that maximizing the sequence results in an estimator that converges to the true maximum likelihood estimator and shares its asymptotic properties…”
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Function-on-Function Linear Regression by Signal Compression
ISSN: 0162-1459, 1537-274X, 1537-274XVydáno: Alexandria Taylor & Francis 01.06.2017Vydáno v Journal of the American Statistical Association (01.06.2017)“…We consider functional linear regression models with a functional response and multiple functional predictors, with the goal of finding the best finite-dimensional approximation to the signal part…”
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Strong approximation of multidimensional ℙ-ℙ plots processes by Gaussian processes with applications to statistical tests
ISSN: 1066-5307, 1934-8045Vydáno: Heidelberg Allerton Press 01.07.2014Vydáno v Mathematical methods of statistics (01.07.2014)“…The present paper is mainly concerned with the strong approximation of ℙ-ℙ plot processes in ℝ d by sequences of Gaussian processes…”
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