scholarly journals A strong uniform convergence rate of a kernel conditional quantile estimator under random left-truncation and dependent data

2009 ◽  
Vol 3 (0) ◽  
pp. 426-445 ◽  
Author(s):  
Elias Ould-Saïd ◽  
Djabrane Yahia ◽  
Abdelhakim Necir
Keyword(s):  
Convergence Rate ◽  
Uniform Convergence ◽  
Dependent Data ◽  
Left Truncation ◽  
Conditional Quantile ◽  
Uniform Convergence Rate ◽  
Strong Uniform Convergence ◽  
Conditional Quantile Estimator

scholarly journals Convergence Rate of Extremes for the General Error Distribution

2010 ◽  
Vol 47 (3) ◽  
pp. 668-679 ◽  
Author(s):  
Zuoxiang Peng ◽  
Saralees Nadarajah ◽  
Fuming Lin
Keyword(s):  
Convergence Rate ◽  
Uniform Convergence ◽  
Random Sequence ◽  
Extreme Value ◽  
Error Distribution ◽  
Distribution Of The Maximum ◽  
Uniform Convergence Rate ◽  
Independent Identically Distributed ◽  
General Error

Let {Xn, n ≥ 1} be an independent, identically distributed random sequence with each Xn having the general error distribution. In this paper we derive the exact uniform convergence rate of the distribution of the maximum to its extreme value limit.

scholarly journals Absolute and uniform convergence of spectral expansion of the function from the class W1p(g), p > 1, in eigenfunctions of third order differential operator

2017 ◽  
Vol 101 (115) ◽  
pp. 169-182
Author(s):  
V.M. Kurbanov ◽  
E.B. Akhundova
Keyword(s):  
Differential Operator ◽  
Convergence Rate ◽  
Uniform Convergence ◽  
Spectral Expansion ◽  
Ordinary Differential Operator ◽  
Order Differential Operator ◽  
Third Order ◽  
Uniform Convergence Rate

We study an ordinary differential operator of third order and absolute and uniform convergence of spectral expansion of the function from the class W1p(G), G = (0,1), p > 1, in eigenfunctions of the operator. Uniform convergence rate of this expansion is estimated.

scholarly journals Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps

2020 ◽  
pp. 1-26
Author(s):  
SILVIUS KLEIN ◽  
XIAO-CHUAN LIU ◽  
ALINE MELO
Keyword(s):  
Convergence Rate ◽  
Uniform Convergence ◽  
Modulus Of Continuity ◽  
Skew Product ◽  
Dimensional Torus ◽  
One Dimensional ◽  
Arithmetic Properties ◽  
Uniform Convergence Rate ◽  
The One ◽  
Uniquely Ergodic

Abstract We obtain estimates on the uniform convergence rate of the Birkhoff average of a continuous observable over torus translations and affine skew product toral transformations. The convergence rate depends explicitly on the modulus of continuity of the observable and on the arithmetic properties of the frequency defining the transformation. Furthermore, we show that for the one-dimensional torus translation, these estimates are nearly optimal.

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