Two comparison theorems for nonlinear first passage times and their linear counterparts (Q5956485)

From MaRDI portal
scientific article; zbMATH DE number 1709408
Language Label Description Also known as
English
Two comparison theorems for nonlinear first passage times and their linear counterparts
scientific article; zbMATH DE number 1709408

    Statements

    Two comparison theorems for nonlinear first passage times and their linear counterparts (English)
    0 references
    0 references
    27 October 2002
    0 references
    The difference between the first passage times of a perturbed random walk and the nonperturbed counterpart is investigated. The first result asserts that the difference converges weakly without normalization. In the second one it is shown that if the perturbation has a certain smallness asymptotically, then so does the difference.
    0 references
    0 references
    first passage times
    0 references
    perturbed random walk
    0 references

    Identifiers