The central limit theorem for empirical processes under local conditions: the case of Radon infinitely divisible limits without Gaussian component
The central limit theorem for empirical processes under local conditions: the case of Radon infinitely divisible limits without Gaussian component
Weak convergence results are obtained for empirical processes indexed by classes <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper F"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">F</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathcal {F}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of functions in the case of infinitely divisible purely Poisson (in particular, stable) Radon limits, under conditions on the …