7 citations · 20 across the 12 of their papers we have counts for
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Non standard functional limit laws for the increments of the compound empirical distribution function
Davit Varron, Myriam Maumy
Let be a sequence of independent, identically distributed (i.i.d.) random vectors taking values in $\RRR^k\times\RRR^d$, for some integers and . Given…
Clustering rates and Chung type functional laws of the iterated logarithm for empirical and quantile processes
Davit Varron
Following the works of Berthet (1997), we first obtain exact clustering rates in the functional law of the iterated logarithm for the uniform empirical and quantile processes and f…
Some asymptotic results on density estimators by wavelet projections
Davit Varron
Let be an i.i.d. sample on $\RRR^d$ having density . Given a real function on $\RRR^d$ with finite variation and given an integer valued sequence ,…
Some uniform in bandwidth functional results for the tail uniform empirical and quantile processes
Davit Varron
For fixed and , consider the local uniform empirical process $$\DD_{n,h,t}(s):=n^{-1/2}\coo\sliin 1_{[t,t+hs]}(U_i)-hs\cff,\;s\in [0,1],$$ where the are ind…
Some new almost sure results on the functional increments of the uniform empirical process
Davit Varron
Given an observation of the uniform empirical process $\alp_n$, its functional increments $\alp_n(u+a_n\cdot)-\alp_n(u)$ can be viewed as a single random process, when is distr…
A nonstandard uniform functional limit law for the increments of the multivariate empirical distribution function
Davit Varron
Let be an independent, identically distributed sequence of random variables on $\RRR^d$. Under mild conditions on the density of , we provide a nonstandard u…
Uniform in bandwidth exact rates for a class of kernel estimators
Davit Varron, Ingrid Van Keilegom
Given an i.i.d sample , taking values in $\RRR^{d'}\times \RRR^d$, we consider a collection Nadarya-Watson kernel estimators of the conditional expectations $\EEE(<c_g(z…