In this paper, we shall be concerned with weak convergence of the randomly indexed versions of the standard and 'independence" empirical processes, in the general framework of stochastic processes indexed by classes of functions and without any distributional assumption. We obtain, in the limit, some generalizations of well-known Gaussian fields such that those arising with a deterministic index are embedded as a special case.
Weak Convergence of Some Randomly Indexed Empirical Processes / Beghin, Luisa. - In: PROBABILITY AND MATHEMATICAL STATISTICS. - ISSN 0208-4147. - STAMPA. - 22 (2):(2002), pp. 333-342.
Weak Convergence of Some Randomly Indexed Empirical Processes
BEGHIN, Luisa
2002
Abstract
In this paper, we shall be concerned with weak convergence of the randomly indexed versions of the standard and 'independence" empirical processes, in the general framework of stochastic processes indexed by classes of functions and without any distributional assumption. We obtain, in the limit, some generalizations of well-known Gaussian fields such that those arising with a deterministic index are embedded as a special case.File allegati a questo prodotto
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