Rényi-type empirical processes
From MaRDI portal
Publication:1192007
DOI10.1016/0047-259X(92)90073-OzbMath0754.62031OpenAlexW2106393879MaRDI QIDQ1192007
Publication date: 27 September 1992
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0047-259x(92)90073-o
sup-normtail behaviourweighted Wiener processesuniform quantile processesapproximations of tail empirical processesexponential sums processesKac- Poisson bridgeRényi-type statisticsRényi-type weighted empirical processesweak weighted approximationsweighted Poisson processes
Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)
Related Items
Gaussian approximation of the empirical process under random entropy conditions, Poisson and Gaussian approximation of weighted local empirical processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted empirical and quantile processes
- A refinement of the KMT inequality for the uniform empirical process
- Central limit theorems for \(L_ p\)-norms of density estimators
- A strong invariance theorem for the tail empirical process
- Approximations of weighted empirical and quantile processes
- Invariance principles in probability for triangular arrays of B-valued random vectors and some applications
- On the weak convergence of empirical processes in sup-norm metrics
- Distributions related to linear bounds for the empirical distribution function
- The asymptotic distribution of weighted empirical distribution functions
- An approximation of partial sums of independent RV's, and the sample DF. II
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- A New Proof of Some Results of Rényi and the Asymptotic Distribution of the Range of his Kolmogorov-Smirnov Type Random Variables
- On Deviations between Theoretical and Empirical Distributions
- On the theory of order statistics
