The almost sure behavior of the oscillation modulus of the multivariate empirical process (Q1102664)

From MaRDI portal





scientific article; zbMATH DE number 4050782
Language Label Description Also known as
English
The almost sure behavior of the oscillation modulus of the multivariate empirical process
scientific article; zbMATH DE number 4050782

    Statements

    The almost sure behavior of the oscillation modulus of the multivariate empirical process (English)
    0 references
    0 references
    0 references
    1987
    0 references
    The paper contains several almost sure convergence results for the oscillation modulus of multivariate empirical processes, depending on the rate at which the bandwidths tend to zero. The method of proof follows classical lines: Poissonization, application of maximal (exponential) inequalities, subsequences, Borel-Cantelli.
    0 references
    density estimation
    0 references
    multivariate spacings
    0 references
    almost sure convergence results
    0 references
    oscillation modulus of multivariate empirical processes
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references