14,975 research outputs found
A bijection from a finite group to the cyclic group with a divisibility property on the element orders
This paper proves that there exists a bijection from a finite group
of order onto a cyclic group of order such that for each element the order of divides the order of .Comment: The proof has a Ga
Asymptotic normality of recursive estimators under strong mixing conditions
The main purpose of this paper is to estimate the regression function by
using a recursive nonparametric kernel approach. We derive the asymptotic
normality for a general class of recursive kernel estimate of the regression
function, under strong mixing conditions. Our purpose is to extend the work of
Roussas and Tran [17] concerning the Devroye-Wagner estimate
Consistency of the recursive nonparametric regression estimation for dependent functional data
We consider the recursive estimation of a regression functional where the
explanatory variables take values in some functional space. We prove the almost
sure convergence of such estimates for dependent functional data. Also we
derive the mean quadratic error of the considered class of estimators. Our
results are established with rates and asymptotic appear bounds, under strong
mixing condition.Comment: 12 page
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