Weak convergence for weighted empirical processes of dependent sequences
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Publication:674522
DOI10.1214/aop/1041903220zbMath0874.60006OpenAlexW2016243094MaRDI QIDQ674522
Publication date: 24 April 1997
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1041903220
integral functionalsassociated sequencesreliability theoryWeak convergenceweighted empirical processesmixing sequencesmean residual life processesRosenthal-type inequalities
Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An asymptotic theory for empirical reliability and concentration processes
- A note on the strong law of large numbers for positively dependent random variables
- Approximations of weighted empirical and quantile processes
- On the weak convergence of empirical processes in sup-norm metrics
- Distribution function inequalities for martingales
- Estimation of a biometric function
- Convergence of stopped sums of weakly dependent random variables
- Covariance inequalities for strongly mixing processes
- Maximal inequalities for partial sums of \(\rho\)-mixing sequences
- On the centering of a simple linear rank statistic
- Strong approximations of some biometric estimates under random censorship
- Moment bounds for stationary mixing sequences
- Association of Random Variables, with Applications
- The Invariance Principle for Stationary Processes
- On the theory of order statistics
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