A new continuous distribution and two new families of distributions based on the exponential

Guillermina Jasso, Samuel Kotz

    Research output: Contribution to journalArticle

    Abstract

    Recent work on social status led to derivation of a new continuous distribution based on the exponential. The new variate, termed the ring(2)-exponential, in turn leads to derivation of two closely related new families of continuous distributions, the mirror-exponential and the ring-exponential. Both the standard exponential and the ring(2)-exponential are special cases of both the new families. In this paper, we first focus on the ring(2)-exponential, describing its derivation and examining its properties, and next introduce the two new families, describing their derivation and initiating exploration of their properties. The mirror-exponential arises naturally in the study of status; the ring-exponential arises from the mathematical structure of the ring(2)-exponential. Both have the potential for broad application in diverse contexts across science and engineering. Within sociobehavioral contexts, the new mirror-exponential may have application to the problem of approximating the form and inequality of the wage distribution.

    Original languageEnglish (US)
    Pages (from-to)305-328
    Number of pages24
    JournalStatistica Neerlandica
    Volume61
    Issue number3
    DOIs
    StatePublished - Aug 2007

    Fingerprint

    Continuous Distributions
    Ring
    Mirror
    Family
    Wages
    Wage distribution
    Social status
    Engineering

    Keywords

    • Continuous univariate distributions
    • Erlang distribution
    • Folded distributions
    • Gamma distribution
    • General Erlang distribution
    • General gamma distribution
    • Gini coefficient
    • Social inequality
    • Social status
    • Wage distribution
    • Wage function
    • Wage inequality

    ASJC Scopus subject areas

    • Statistics and Probability

    Cite this

    A new continuous distribution and two new families of distributions based on the exponential. / Jasso, Guillermina; Kotz, Samuel.

    In: Statistica Neerlandica, Vol. 61, No. 3, 08.2007, p. 305-328.

    Research output: Contribution to journalArticle

    Jasso, Guillermina ; Kotz, Samuel. / A new continuous distribution and two new families of distributions based on the exponential. In: Statistica Neerlandica. 2007 ; Vol. 61, No. 3. pp. 305-328.
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