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Asymptotics of conditional empirical processes

Lajos Horvath and Brian S. Yandell

Journal of Multivariate Analysis, 1988, vol. 26, issue 2, 184-206

Abstract: Using two definitions of the conditional empirical processes we obtain some approximations for these processes. We also prove the functional law of the iterated logarithm for the conditional processes. Our results say that the asymptotic behavior of the conditional and unconditional empirical processes are very similar.

Keywords: conditional; distribution; multivariate; Wiener; process; stochastic; integrals; U-statistics; functional; laws; of; iterated; logarithm (search for similar items in EconPapers)
Date: 1988
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