Tightness Criterion and Weak Convergence for the Generalized Empirical Process in

Autor:	Maciej Ziemba
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Sequence Mathematical optimization Weak convergence Article Subject Structure (category theory) Applied mathematics Covariance Space (mathematics) Empirical process Topology (chemistry) Mathematics
Zdroj:	ISRN Probability and Statistics.
DOI:	10.1155/2013/543723
Popis:	We prove Shao and Yu's tightness criterion for the generalized empirical process in the space with topology. Covariance inequalities are used in applying the criterion to particular types of the empirical processes. We weaken the assumptions imposed on the covariance structure as well as the properties of the underlying sequence of r.v.'s, under which presented processes converge weakly.
Databáze:	OpenAIRE
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