Strong consistency of the local linear relative regression estimator for censored data [PDF]
Opuscula Mathematica, 2022 In this paper, we combine the local linear approach to the relative error regression estimation method to build a new estimator of the regression operator when the response variable is subject to random right censoring.
Feriel Bouhadjera, Elias Ould Saïd
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Estimating Smoothness and Optimal Bandwidth for Probability Density Functions
Stats, 2022 The properties of non-parametric kernel estimators for probability density function from two special classes are investigated. Each class is parametrized with distribution smoothness parameter. One of the classes was introduced by Rosenblatt, another one
Dimitris N. Politis +2 more
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Some remarks on the ergodic theorem for $U$-statistics
Comptes Rendus. Mathématique, 2023 In this note, we investigate the convergence of a $U$-statistic of order two having stationary ergodic data. We will find sufficient conditions for the almost sure and $L^1$ convergence and present some counter-examples showing that the $U$-statistic ...
Dehling, Herold +2 more
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Some Types of Convergence for Negatively Dependent Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society, 2019 In this paper, we research complete convergence and almost sure convergence under the sublinear expectations. As applications, we extend some complete and almost sure convergence theorems for weighted sums of negatively dependent random variables from ...
Ruixue Wang, Qunying Wu
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Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients [PDF]
Bulletin of Mathematical Sciences, 2019 This paper is concerned with strong convergence and almost sure convergence for neutral stochastic differential delay equations under non-globally Lipschitz continuous coefficients.
Li Tan, Chenggui Yuan
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DAVENPORT SERIES AND ALMOST-SURE CONVERGENCE [PDF]
The Quarterly Journal of Mathematics, 2010 We consider Davenport-like series with coecients in l 2 and discuss L 2 -convergence as well as almost-everywhere convergence. We give an example where both fail to hold. We next improve former sucient conditions under which these convergences are true.
openaire +2 more sources
Probabilistic norms and statistical convergence of random variables [PDF]
Surveys in Mathematics and its Applications, 2009 The paper extends certain stochastic convergence of sequences of Rk -valued random variables (namely, the convergence in probability, in Lp and almost surely) to the context of E-valued random variables.
Mohamad Rafi Segi Rahmat +1 more
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Almost sure convergence of the forward–backward–forward splitting algorithm [PDF]
, 2016 In this paper, we propose a stochastic forward–backward–forward splitting algorithm and prove its almost sure weak convergence in real separable Hilbert spaces.
Vu, Bang Cong
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On the almost sure convergence of weighted sums of random elements in D[0,1]
International Journal of Mathematics and Mathematical Sciences, 1981 Let {wn} be a sequence of positive constants and Wn=w1+…+wn where Wn→∞ and wn/Wn→∞. Let {Wn} be a sequence of independent random elements in D[0,1]. The almost sure convergence of Wn−1∑k=1nwkXk is established under certain integral conditions and growth ...
R. L. Taylor, C. A. Calhoun
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An almost sure conditional convergence result and an application to a generalized Polya urn [PDF]
, 2009 We prove an almost sure conditional convergence result toward a Gaussian kernel and we apply it to a two-colors randomly reinforced ...
Crimaldi, I, Crimaldi, Irene
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