Convolution of unimodal distributions can produce any number of modes (Q688060)

From MaRDI portal





scientific article; zbMATH DE number 440247
Language Label Description Also known as
English
Convolution of unimodal distributions can produce any number of modes
scientific article; zbMATH DE number 440247

    Statements

    Convolution of unimodal distributions can produce any number of modes (English)
    0 references
    1 June 1994
    0 references
    Let \(n\) be an integer \(\geq 2\). A unimodal distribution \(\mu\) is constructed for which the convolution \(\mu * \mu\) is \(n\)-modal. The unimodal distribution \(\mu_ 1\) for which \(\mu_ 1 * \mu_ 1\) is \(\infty\)-modal is presented as well.
    0 references
    \(n\)-modality
    0 references
    unimodal distribution
    0 references
    0 references

    Identifiers