Search Results - Statistical Convergence in Approximation Theory and Functional Analysis

Statistical Convergence with Respect to Power Series Methods and Applications to Approximation Theory by Ünver, Mehmet, Orhan, Cihan

“… 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

“… 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 by Mursaleen, Mohammad, Ansari, Khursheed J., Khan, Asif

“… 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 by Soukarieh, Inass, Bouzebda, Salim

“…: 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 by Li, Yehua, Guan, Yongtao

“… 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 by Peng, Qing-Yan, Zhou, Jian-Jun, Tang, Nian-Sheng

“… 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 by Braha, Naim L., Kadak, Ugur

“… 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 by Chong, Carsten, Delerue, Thomas

“…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 by Demirci, Kamil, Dirik, Fadime

“…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 by Kačinskaitė, Roma, Laurinčikas, Antanas, Žemaitienė, Brigita

“…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 by Panda, Saunak Kumar, Liu, Ruiqi, Xiang, Yisha

“… 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 by Kamanchi, Chandramouli, Diddigi, Raghuram Bharadwaj, Prabuchandran, K.J., Bhatnagar, Shalabh

“…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 by Yu, Dengdeng, Pietrosanu, Matthew, Mizera, Ivan, Jiang, Bei, Kong, Linglong, Tu, Wei

“…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 by Reiss, Philip T, Ogden, R. Todd

“… 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 by Korolev, Victor

“… 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 by Bulinski, Alexander, Slepov, Nikolay

“…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 by Bunea, Florentina, Ivanescu, Andrada E., Wegkamp, Marten H.

“… 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 by Aït-Sahalia, Yacine

“…) 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 by Luo, Ruiyan, Qi, Xin

“…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 by Bouzebda, S., Zari, T.

“…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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