Functional limit theorems for induced order statistics

zbMath1010.60031MaRDI QIDQ1856558

Yanyan Li

Publication date: 10 February 2003

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

invariance principlefunctional law of the iterated logarithminduced order statistics

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (12)

Asymptotics of sums of regression residuals under multiple ordering of regressors ⋮ Validation of positive expectation dependence ⋮ The cumulative quantile regression function with censored and truncated covariate ⋮ Composing the cumulative quantile regression function and the Goldie concentration curve ⋮ Estimation of conditional laws given an extreme component ⋮ Stability for random measures, point processes and discrete semigroups ⋮ On the cumulative quantile regression process ⋮ On the strong law of large numbers for linear combinations of concomitants ⋮ The cumulative quantile regression function with censored and truncated response ⋮ Convex rearrangements of Lévy processes ⋮ Testing constancy in varying coefficient models ⋮ Asymptotics of an empirical bridge of regression on induced order statistics

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